Ko'prik harakatlarini takrorlang - Duplicate bridge movements - Wikipedia

A takroriy ko'prik harakati a-da ishlatiladigan sxema ko'prikning nusxasi qaysi raqiblar qachon va qaysi raqiblar bilan o'ynashini belgilash uchun sessiya taxtalar ular o'ynashadi. Ushbu kelishuv turli xil cheklovlarni qondirishi kerak, bu ko'pincha ma'lum darajada ziddiyatli va murosaga muhtojdir. Ushbu kelishuvlarning echimi sezilarli darajada ta'mga bog'liq, shuning uchun agar bu mumkin bo'lsa, o'yinchilarning afzalliklari haqida maslahat olish kerak.

Harakatlar hodisa turiga qarab ajratiladi --- Shaxsiy, juftliklar yoki jamoalar.

Ikki nusxadagi ko'prik harakatlari uchun talablar

Ko'prik harakati uchun uchta mutlaq talab universaldir.

1. Hech bir ishtirokchi (tadbir turiga qarab individual, juftlik yoki jamoa) bir xil bitimni bir necha bor bajarishi mumkin emas.

2. Har bir mashg'ulotdagi bitimlar soni raqobat darajasi va sharoitga mos bo'lishi kerak.

3. Harakat nogiron va / yoki harakatsizligi bo'lgan barcha o'yinchilarning ehtiyojlarini qondirish uchun etarlicha statsionar yoki deyarli harakatsiz joylarni ta'minlashi kerak.

Sanksiya beruvchi organ voqeani sanksiya qilish yoki tan olish sharti sifatida qo'shimcha talablarni qo'yishi mumkin. Masalan, English Bridge Union (EBU) har bir ishtirokchining har bir mashg'ulotda yakka tartibdagi yoki juftlik o'yinidagi bitimlarning kamida 70 foizini "o'ynashni rejalashtirishni" talab qiladi,[1] bu amalda davra soni o'yindagi taxtalar guruhlari sonining kamida 70% bo'lishi kerakligini anglatadi. Amerika Shartnoma ko'prigi ligasi (ACBL) ham xuddi shu o'yin uchun amaldagi harakat bo'lsa ham, sanoqli standart juftlik o'yinlari uchun kamida 2 1/2 jadvalni talab qiladi, shu bilan birga ikkita stolga "Bir g'olib" bilan individual o'yin o'ynashga ruxsat beriladi. "Harakat yoki jamoaviy o'yinlar.[2]

Ikkinchi universal talabga kelsak, Shimoliy Amerikadagi klub yoki turnirda odatdagi "ochiq" (cheklanmagan) mashg'ulotlar taxminan 25-28 taxtadan (bitimlardan) iborat bo'lib, bundan tashqari 24 ta bitim to'liq harakatni keltirib chiqaradi (ya'ni oltitasi bilan, sakkizta yoki o'n ikkita stolda Mitchell harakatining to'liq shaklini o'ynaydigan quyida tasvirlangan), ammo bu boshqa mintaqalarda farq qilishi mumkin. Albatta, klub tushlik, ziyofat yoki boshqa biron bir voqea bilan bog'liq seansda kamroq bitimlar tuzishni yoki ertasi kuni ish joyiga borishi kerak bo'lgan futbolchilar uchun kechki mashg'ulot oqilona soat bilan tugashini ta'minlashni tanlashi mumkin. kruiz kemalarida seanslar odatda qisqaroq (taxminan 18-20 ta bitim). Kamroq tajribali o'yinchilar uchun sessiyalar ham odatda kamroq bitimlardan iborat bo'ladi va aksincha, ba'zi chempionat voqealari sessiyalari ko'proq bitimlar tuzishi mumkin.

Ya'ni, Bridge harakatlarida kerakli bo'lgan bir necha mezon mavjud.

  • Agar har bir jadval uchun o'z nusxasi bo'lishi uchun bir vaqtning o'zida o'ynagan guruhlarning nusxalari etarli bo'lmasa, har bir stolda har bir turda alohida taxtalar guruhini o'ynashi ma'qul. Shunga qaramay, adolat uchun tez-tez tanlangan ba'zi harakatlar har ikki turda bir xil taxtalar guruhini o'ynash uchun ikkita qo'shni stolni talab qiladi.
  • Match matching hisobida barcha taxtalar bir xil sonda o'ynalishi kerak, shunda ularning barchasi yakuniy vaziyatda bir xil og'irlik va ta'sirga ega.
  • Odatda ikkita ishtirokchi bir-biriga qarshi o'ynamasligi kerak (bitta jadvaldagi raqib sifatida) yoki yakka tartibda bir nechta turda sherik bo'lib birlashishi kerak, faqat alohida voqea ishtirokchilari yo'nalishni o'zgartirganda va shu tariqa bir-biriga qarshi ikki marta o'ynash kerak. (turli sheriklar bilan, va ideal ravishda qarama-qarshi tomonlarda - ya'ni bir marta o'ng va chap qo'lda raqib kabi) to'liq harakatni shakllantirish.
  • Bir turda taxtalar soni oqilona bo'lishi kerak. Uchrashuvning standart o'yinlarida va "o'yin-taxta" jamoaviy o'yinlarida har bir turda ikkita taxta amaliy minimal hisoblanadi va odatda har turda to'rtdan beshta taxta kerakli darajaga ko'tariladi. "Uchrashuv taxtasi" musobaqasidan tashqari odatdagi jamoaviy o'yinlarda har bir uchrashuvda oltita taxtali odatiy minimal va har bir uchrashuvda yigirma to'rtta taxta ochiq musobaqalar uchun normal maksimal hisoblanadi.
  • Agar individual yoki juftlik o'yinlarida toq sonli ishtirokchilar bo'lsa, masalan, abituriyentlar to'liq stolning etishmasligi sababli navbatma-navbat o'tirishlari kerak bo'lsa, har bir tur uchun raqamlar jadvalini minimallashtirish va shu bilan ta'sirlangan abituriyentlar vaqtini kamaytirish juda maqsadga muvofiqdir. keyingi tur boshlanishini kutishi kerak. Hech qanday o'tirish bo'lmaganida, ko'proq dumaloq yoki kamroq pog'onali dumaloq o'ynashga qaror qilish faqat afzallik masalasidir.
  • Umuman olganda, barcha ishtirokchilar o'yindagi barcha kelishuvlarni bajarishlari kerak deb o'ylashadi.
  • Quyida muhokama qilinganidek, harakat iloji boricha adolatli bo'lishi kerak.
  • Agar sessiya o'rtasida tushlik paytida tanaffus bo'lsa yoki boshqa biron sabab bo'lsa, harakatni tartibga solish maqsadga muvofiqdir, shuning uchun barcha jadvallar tanaffusdan oldin bitimlarning bir qismini va tanaffusdan keyin bitimlarning boshqa bir qismini o'ynashi uchun har qanday munozarani ta'minlash kerak. tanaffus paytida tuzilgan bitimlar tanaffusdan keyin o'yinda tuzilgan bitimlarni buzmaydi.
  • Boshqa cheklovlarni hisobga olgan holda, o'yinchilar noto'g'ri stolga borishi, stolda noto'g'ri yo'nalishda o'tirgan o'yinchilar yoki stolda o'ynaganlar noto'g'ri guruhga o'ynashlari kabi xatolar ehtimolini minimallashtirish uchun iloji boricha sodda bo'lishi kerak. taxtalar. Bu taxtalarning harakatiga ham, o'yinchilarning harakatiga ham tegishlidir.

Muayyan klub yoki musobaqa tashkilotchisining afzalliklari boshqa cheklovlarni belgilashi mumkin. Bu erda harakatni tanlashga ta'sir qilishi mumkin bo'lgan tashkilotchilarning afzalliklari haqida ba'zi misollar.

  • Ba'zi tashkilotchilar seans jadvallarini har xil darajadagi yoki tajriba darajasidagi o'yinchilar uchun reyslarga ajratishni afzal ko'rishlari mumkin, ular alohida bo'limlarda o'ynagan va alohida to'plangan. Ushbu tanlov odatda bo'limlarning o'lchamlari va ehtimol turli darajadagi o'yinchilar o'ynashi mumkin bo'lgan taxtalar sonidagi farqlarni hisobga olish uchun har bir bo'lim uchun alohida harakatni talab qiladi. Boshqa tashkilotchilar bir xil bo'lim (lar) da barcha darajadagi yoki qobiliyatli o'yinchilarni birga o'ynashlarini afzal ko'rishlari mumkin.
  • Ba'zi tashkilotchilar kattaroq tadbirlarni yoki parvozlarni bir nechta bo'limlarga ajratishni ma'qul ko'rishlari mumkin, ular turda ko'proq taxtalar bilan kamroq tur o'ynaydilar, chunki o'yin kamroq aylansa tezroq rivojlanib boraveradi. Boshqa tashkilotchilar har bir ishtirokchiga boshqa ishtirokchilarga qarshi o'ynash imkoniyatini berib, turda kamroq taxtalar bilan ko'proq tur o'ynaydigan katta bo'limlarni tashkil qilishni afzal ko'rishlari mumkin.
  • Kattaroq tadbirlarda yoki parvozlarda ba'zi tashkilotchilar bitta ishtirokchini bitta g'olibni aniqlash uchun bitta taqqoslash maydoniga ajratishni afzal ko'rishlari mumkin, boshqa tashkilotchilar esa har bir taqqoslash maydoni uchun alohida g'olib bilan bir nechta taqqoslash maydonchalarini tanlashni afzal ko'rishlari mumkin. Bir nechta bo'limga ega bo'lgan voqealar yoki parvozlarda ushbu variantlarning bir nechta o'zgarishlari mavjud - har bir parvoz ichidagi har bir yo'nalish uchun alohida taqqoslash maydoni, bir nechta bo'limlar bo'yicha har bir yo'nalishda bitta taqqoslash maydoni, har bir yo'nalish bo'yicha ikkala yo'nalish bo'yicha bitta taqqoslash maydoni bo'lim bilan yoki butun tadbirdagi barcha ishtirokchilarni qamrab oladigan bitta taqqoslash maydoni.

Muayyan raqobat tabiatiga binoan aniq talablar bo'lmagan taqdirda, ushbu fikrlar mutlaqo ixtiyoriydir.

Ko'prik harakatlari adolati

Ko'prik harakatining adolatli bo'lishini aniqlashda bir nechta fikrlar mavjud.

  • Har bir ishtirokchi boshqa barcha ishtirokchilarga qarshi o'ynaydigan yoki har bir bal to'plash maydonidagi barcha ishtirokchilar bir xil raqib maydoniga qarshi o'ynaydigan to'liq harakat tabiiy ravishda eng adolatli tanlovdir. Eng yomon stsenariy - bu tugashiga bir tur qolgan qisqa harakat: bitta ishtirokchi juda kuchli raqibga qarshi o'ynamaydi, shu bilan sezilarli ustunlikni qo'lga kiritadi, boshqa ishtirokchi esa juda zaif raqibga qarshi o'ynamaydi va shu bilan sezilarli kamchilikka duch keladi. Harakat tugashiga bir necha tur qolganda, o'rtacha hisoblash o'z tomoniga o'tishga intiladi - har bir raqib kuchsizroq va kuchliroq raqiblarni sog'inib, ta'sirni pasaytiradi. Maydonga "urug '" tushirish orqali, ya'ni yuqori va quyi reytingga ega bo'lgan yoki qobiliyatga ega bo'lgan abituriyentlarni maydon bo'ylab tarqatish orqali ushbu ta'sirni yanada kamaytirish mumkin.
  • Ideal holda, har bir abituriyent boshqa ishtirokchilarning har birining natijalariga, hech bo'lmaganda har bir bal to'plash maydonida teng ravishda ta'sir qilishi kerak, bunda abituriyentlar har bir bitimni o'ynaydigan nisbiy pozitsiyalarni hisobga olgan holda - to'g'ridan-to'g'ri qarama-qarshilik (bir xil stolda), bilvosita qarama-qarshilik (turli xil stollarda bir xil yo'nalishda, shu bilan to'g'ridan-to'g'ri taqqoslashni keltirib chiqaradi), jamoaviy (turli xil stollarda qarama-qarshi yo'nalishlarda) va individual harakatlarda sheriklik (bir stolda qarama-qarshi o'rindiqlar). Match matchning standart skorining matematik tahlili[3] gipotetik abituriyentning barcha bitimlar bo'yicha haddan tashqari (yuqori yoki aniq pastki) ballarni qo'lga kiritishi ta'siriga asoslangan holda quyidagi jadvalda qarama-qarshiliklarning og'irligini keltirib chiqardi. Pozitiv og'irliklar abituriyentlarning raqib bo'lishini anglatadi (g'ayritabiiy yaxshi natija boshqasiga zarar etkazadi), salbiy og'irlik esa abituriyentlarning samarali jamoadoshi bo'lishini anglatadi, ya'ni g'ayrioddiy yaxshi natija boshqasiga yordam beradi. "Ballarni yig'ish birligi" atamasi ushbu Qonunning 78A-sonli qonuni Ikki nusxadagi ko'prik qonunlari.
Bitim bo'yicha nisbiy pozitsiyaMatchpoint reytingida qarshiliklarning og'irligi
Xuddi shu stolda raqib+1 ball birligi x har bir taxta uchun taqqoslashlar soni
Turli xil jadvallarda bir xil yo'nalish+1 ball
Turli xil jadvallardagi qarama-qarshi yo'nalishlar-1 ballar birligi
Hamkorlar (Faqat individual harakat)-1 Ballar birligi x Har bir kengash uchun taqqoslashlar soni
  • Agar biror voqea yoki parvozda bir nechta ballar maydoni mavjud bo'lsa, barcha ballar maydonlari taqqoslanadigan qobiliyat yoki reytingga ega ishtirokchilarga ega bo'lishi kerak, shunda barcha raqiblar taxminan bir xil kuchga ega bo'lgan raqobatga duch kelishadi. Shaxsiy va juftlik voqealarida bu har bir raqib har doim bir xil yo'nalishda o'tirgan harakatlardan foydalanilganda har bir bo'limning har bir yo'nalishiga to'g'ri keladi. Bunga odatda "urug 'sepish" - ya'ni kuchliroq va kuchsiz juftlarni maydon bo'ylab bir tekis taqsimlash orqali erishiladi.
  • Zaiflik Total Points yoki International Matchpoints (IMP) tomonidan kiritilgan o'yinning adolatli bo'lishiga ta'sir qiladi, chunki zaif bo'lgan juftlik har qanday o'yinda bir xil miqdordagi hiyla-nayrang qilish uchun zaif bo'lmagan juftlikdan ko'ra ko'proq ball (xom Bridge skor) oladi. har qanday shartnomani bajarmaganligi uchun ko'proq ball berishdan bosh tortganda. Xuddi shu ko'prik natijalari uchun yuqoriroq ballar, IMP skorlarini bir xil juftlik natijalari uchun ko'proq IMP-ga aylantiradi. Ushbu usullardan birida gol urishda barcha juftliklar teng miqdordagi bitimlarda himoyasiz bo'lishlari kerak - bu shart har bir turda to'rtta stol o'ynash orqali osonlikcha bajariladi, chunki to'rtta kengashning barcha doimiy guruhlari (1-4, 5-8 va boshqalar). ) har bir sheriklikning ikkita bitim bo'yicha himoyasiz bo'lishini va qolgan ikkita bitimda zaif bo'lmasligini ta'minlab, har bir zaiflik kombinatsiyasi bilan bitta taxtaga ega bo'ling (faqat Shimoliy-Janubiy, faqat Sharq-G'arb va ikkalasi ham). Ushbu mezonlarga javob bermaydigan ba'zi harakatlar zaiflikning juda yomon nomutanosibliklariga ega.[4] Ushbu masala standart Matchpoint skoriga taalluqli emas, chunki barcha kengashlar zaiflikdan qat'i nazar, har bir yo'nalishda teng miqdordagi o'yin nuqtalarini taqdim etadi.

Bir nechta mashg'ulotlarni bitta hodisa sifatida baholashda ushbu mezonlar yakka tartibdagi mashg'ulotlarga emas, balki tadbirning barcha sessiyalarining yig'indisiga tegishli bo'lib, ular ishtirokchilarning har qanday chiqarib yuborilishidan oldingi va keyingi turlarga alohida qo'llanilishini hisobga olish kerak.

Barometr o'yinlari

"Barometr o'yini" atamasi har bir turda bir vaqtning o'zida barcha jadvallar bir xil bitimlar guruhini o'ynaydigan har bir mashg'ulotni anglatadi va har bir tur tugagandan so'ng mazmunli jadvallarni nashr etishga imkon beradi. Bu atama har bir tur tugagandan so'ng, ba'zan har bir taxtani tugatgandan so'ng, raqiblar barometr singari yuqoriga va pastga qarab harakatlanadigan holatni namoyish qilish amaliyotidan kelib chiqadi. Ba'zida odamlar barometr o'yinida ishlatiladigan har qanday harakatga nisbatan "Barometr harakati" deyishsa ham, haqiqatan ham bu nom bilan aniq bir harakat yo'q. Aksincha, barometr o'yini har qanday harakatni quyida tavsiflangan individual yoki juftlik o'yinlari uchun ishlatishi mumkin, lekin har bir stolda jadvallarda ko'rsatilgandek emas, oxirigacha taxtalar guruhlari o'ynaydi.

Barometr o'yini ko'rsatma beradigan vaziyatlar uchun eng amaliy hisoblanadi, unda takliflarni muhokama qilish va ishtirokchilar har bir kelishuvni amalga oshirgandan so'ng darhol yoki har bir raund oxirida o'ynashlari kerak. Barometr o'yinini boshqarayotganda, har bir stol uchun alohida taxtalar to'plamini taqdim etgan ma'qul - ayniqsa, o'yin har turda atigi ikkita taxtani o'ynashga etarlicha katta bo'lsa. Agar barometr o'yini har turda uch yoki undan ko'p taxtada o'ynash uchun etarlicha kichik bo'lsa, unda bir-birlari bilan o'rtoqlashish mumkin bo'ladi - ammo buning uchun tegishli raund oxirigacha bitimlar muhokamasini keyinga qoldirish kerak.

Juft o'yinlar uchun harakatlar

Juft o'yinda o'yinchilar sherik bo'lib o'ynaydigan va birlik sifatida gol uradigan juft bo'lib qatnashadilar. Ko'prikda eng ko'p tarqalgan juftlik harakatlari - bu Mitchell harakatlari va Xovul harakatlari,[5] Howell Movements aslida bitta G'olib Harakatlarning ma'lum bir to'plamidir. Oddiy Mitchell harakatlari shimoliy-janubiy va sharqiy-g'arbiy juftliklarning alohida maydonlariga ega, shuning uchun ular odatda har bir yo'nalishda alohida reyting va g'oliblarga ega, holbuki bitta g'olib harakatida odatda har bir yo'nalishda bir nechta juftlik o'ynaydi va barcha juftliklardan bitta g'olibni ishlab chiqaradigan bitta maydonda ball - shuning uchun nom. Bitta G'olib odatda bir nechta jadvalli o'yinlar uchun ishlatiladi, chunki ular Oddiy Mitchell Harakatlariga qaraganda ko'proq tur o'ynashga imkon beradi, bu esa turlar sonini jadvallar soniga cheklab qo'yadi.

Mitchell harakati (yoki "Ikki g'olib" harakati)

Mitchell harakati, birinchi tomonidan ishlab chiqilgan Jon Templeton Mitchell va "Ikki g'olib" harakati deb nomlangan, ikkita ishtirokchi maydoniga ega. Bitta yo'nalishdagi abituriyentlar har doim Shimoliy-Janubga, boshqa yo'nalishdagi abituriyentlar har doim bitta bo'limda Sharqiy-G'arbiy tomonga o'tirishadi, shuning uchun har bir yo'nalishdagi abituriyentlar faqat boshqa sohadagi abituriyentlarga qarshi o'ynashadi. Har bir yo'nalishdagi abituriyentlar alohida-alohida to'plashadi va har bir sohada g'olib aniqlanadi. Juftliklar ular boshlagan stol raqami va o'yin yo'nalishi bo'yicha aniqlanadi (masalan, Shimoliy-Janubiy juftlik 3 yoki Sharqiy-G'arbiy juftlik 5). Shimoliy-Janubda o'tirgan juftliklar odatda har bir o'yin turida bitta stolda qolishadi, taxtalar guruhlari va Sharqiy-G'arbiy juftliklar har bir tur oxirida har xil stollarga borishadi.

To'liq Mitchell Harakatida davra soni jadvallar soniga ham, seans davomida o'ynagan taxtalar guruhlari soniga ham teng bo'ladi, shuning uchun har bir yo'nalishda o'tirgan juftliklar o'tirgan juftlarning har biriga qarshi bitta tur o'ynaydilar. boshqa yo'nalish va barcha juftliklar o'yinda bo'lgan barcha taxtalarni o'ynaydilar va bu ularni Bridgedagi eng adolatli harakatlardan biriga aylantirdilar. Shimoliy-Janubiy va Sharqiy-G'arbiy juftliklar uchun qarshilikning umumiy og'irligi nol (0) har bir to'liq Mitchell harakati uchun, chunki ular to'g'ridan-to'g'ri qarama-qarshilikda o'ynagan har bir kelishuv uchun taqqoslashlar soni ular turli jadvallarda qarama-qarshi yo'nalishda o'ynagan turlar soniga to'liq teng keladi va bir xil maydondagi barcha juftliklar oppozitsiyaning bir xil og'irligi, chunki ular har qanday bitimni bir yo'nalishda o'ynashadi.

Tugallanmagan Mitchell harakatlari (ya'ni, davra soni jadvallar sonidan kam) juda mashhur, chunki ular juda ko'p jadvallar bo'lgan voqealar uchun eng oson harakat, ammo qarama-qarshilikning og'irligi juda katta messier va odatda juda muvozanatsiz - (1) bitta yo'nalishda o'tirgan o'yinchilar ko'plab Mitchell Harakatlarida bir xil kelishuvlarni amalga oshirmaydilar va shu tariqa qarama-qarshilikning og'irligi har xil, (2) to'g'ridan-to'g'ri qarama-qarshilikda o'ynaydigan juftliklar odatda ko'proq o'ynashadi yoki bir xil taxtali guruhlarning ozi, natijada qarama-qarshilikning og'irligi har xil bo'ladi va (3) bir-biriga qarama-qarshi bo'lmagan qarama-qarshi yo'nalishlarda o'tirgan juftliklar jamoadosh bo'lishadi. Quyida tavsiflangan veb-harakat va ikkilamchi veb-harakat ushbu muammolarning dastlabki ikkitasini yo'q qiladi, ammo uchinchisini kuchaytiradi.

Kattaroq tadbirlarda rejissyorlar ko'pincha ishtirokchilarni alohida o'ynaydigan ikki yoki undan ortiq bo'limlarga ajratadilar. Bir nechta bo'lim mavjud bo'lganda, har bir bo'lim o'zining shimoliy-janubi va sharqiy-g'arbiy skor maydonlariga ega bo'lishi mumkin yoki agar barcha bo'limlar bir xil bitimlarni bajaradigan bo'lsa, direktorlar barcha bo'limlarda shimoliy-janubiy va sharqiy-g'arbiy maydonlarni birlashtirishi mumkin. . So'nggi amaliyot to'liq bo'lmagan harakatning qarama-qarshiligi vaznidagi nomutanosiblikni kuchaytiradi, chunki bu to'g'ridan-to'g'ri qarama-qarshilikning og'irligini kuchaytiradi, shu bilan birga turli sohalarning qarama-qarshi yo'nalishlarida o'ynaydigan juftlarni butun mashg'ulot davomida konstruktiv jamoadoshlar sifatida ko'rsatish. Har bir bo'lim alohida maydonlarga ega bo'lganligi sababli, turli bo'limlardagi abituriyentlar bir-birlarining natijalariga hech qanday qarshilik ko'rsatmaydilar.

Haqiqiy Mitchell Harakatlaridan olingan bir nechta harakatlarning ikkala yo'nalishda ham bitimlarni bajaradigan bitta yoki bir nechta ishtirokchilari bor. Bunday harakatlar haqiqatan ham Mitchell Harakatlari emas, garchi ular o'z nomlarida "Mitchell" so'zini saqlab qolishgan bo'lsa ham, ular quyidagi "Bitta G'olib" harakatlari bo'limida tasvirlangan.

Asosiy Mitchell harakati harakati (yoki standart Mitchell harakati yoki to'g'ri Mitchell harakati)

Asosiy Mitchell harakati, shuningdek, standart Mitchell harakati yoki to'g'ri Mitchell harakati deb nomlanadi, bu eng oddiy Mitchell harakati. Har bir raund oxirida Sharq-G'arbda o'tirgan juftliklar bitta stolni yuqoriga ko'tarishadi, oxirgi stolni qo'yib yuborgan juftlik birinchi stolga, taxtalar (bitimlar) bitta stolga pastga siljiydi, taxtalar birinchi stoldan chiqib ketadi. oxirgi jadvalga. Birinchi guruh taxtalari odatda №1 jadvaldan, ikkinchi guruh №2 jadvaldan va hokazolardan boshlanadi, shuning uchun shimoliy-janubiy juftliklar ketma-ket taxtalar guruhlarini o'sish tartibida va ketma-ket sharq-g'arbiy juftlarni kamayish tartibida o'ynaydilar, sharqiy- G'arbiy o'yinchilar harakatning o'sishi bilan har ikkala ko'tarilish tartibida taxtalarning muqobil guruhlarini va ketma-ket Sharq-G'arb juftlarini o'ynaydilar. Quyidagi jadvalda Sharqiy-G'arbiy juftlik (EW) va taxta guruhi (BG) har bir stolda asosiy Mitchell Harakatidagi beshta stol uchun beshta stol uchun beshta stol uchun ko'rsatilgan.

Jadval1-tur2-tur3-tur4-tur5-tur
1EW 1 BG AEW 5 BG BEW 4 BG CEW 3 BG D.EW 2 BG E
2EW 2 BG BEW 1 BG CEW 5 BG D.EW 4 BG EEW 3 BG A
3EW 3 BG CEW 2 BG D.EW 1 BG EEW 5 BG AEW 4 BG B
4EW 4 BG D.EW 3 BG EEW 2 BG AEW 1 BG BEW 5 BG C
5EW 5 BG EEW 4 BG AEW 3 BG BEW 2 BG CEW 1 BG D.

Ushbu maqoladagi harakatlar jadvallari har bir stolda o'ynashdagi taxtalar guruhlarini belgilash uchun harflardan foydalanadi, chunki har bir guruhdagi aniq taxtalar quyidagi jadvalda ko'rsatilganidek, har bir turda bitimlar soniga bog'liq. Ochiq tadbirning odatiy seansida ushbu harakat bilan 25 ta doska o'ynaladi, kam tajribali o'yinchilar uchun o'tkaziladigan tadbirlar odatda kamroq doskalarni o'ynaydi va mutaxassislar uchun chempionat tadbirlari ko'proq o'ynashi mumkin edi, ammo agar harakat kerak bo'lsa, ko'proq yoki kamroq taxtalar bilan harakatlanishi mumkin. boshqa sabablarga ko'ra qisqa yoki uzoqroq o'yin o'tkazish.

Umumiy bitimlar1015202530
O'yinning normal darajasiBoshlovchiAdv. BoshlovchiO'rtaOchiqChempionat
Kengash guruhi A1-2-jadval1-3-jadvallar1-4-jadvallar1-5-jadvallar1-6-jadvallar
Kengash guruhi B3-4-jadval4-6-jadvallar5-8-jadval6-10 taxtalar7-12-jadvallar
Kengash guruhi C5-6-jadval7-9-jadvallar9-12-jadvallar11-15-jadvallar13-18 taxtalar
Kengash guruhi D7-8-jadval10-12-jadvallar13-16 taxtalar16-20 taxtalar19-24-jadvallar
Kengash guruhi E9-10 taxtalar13-15-jadvallar17-20 taxtalar21-25-jadvallarPlitalar 25-30

Yuqorida tasvirlangan odatdagi shaklda To'g'ri Mitchell harakati g'alati sonli jadvallarni talab qiladi, shunda Sharq-G'arbiy juftliklar harakatning o'rta nuqtasiga etib borganlarida allaqachon o'ynagan taxtalar bilan o'zaro bog'lanishadi. Juft jadvallar bilan Sharq-G'arb juftliklari birinchi turda o'ynagan taxtalarni to'liq harakatlanishning o'rta nuqtasida kutib olishadi va bu harakatning bir variantini talab qiladi. Ikkala quyida muhokama qilingan jadvallarning juft sonining eng keng tarqalgan variantlari - bu Mitchell harakatini o'tkazib yuborish, jadvallar soni to'liq harakatlanishiga imkon bermagan hollarda ishlatiladi va Relay va Bye Stand Mitchell harakati, shuningdek Relay va Share Mitchell harakati deb nomlanadi. to'liq harakat uchun Buyuk Britaniyada. Biroq, ushbu cheklash quyidagi jadvalda ko'rsatilgandek, har bir turda barcha jadvallar bir xil bitimlarni bajaradigan harakatning "Barometr" shakliga taalluqli emas.

Jadval1-tur2-tur3-tur4-tur5-tur6-tur
1EW 1 BG AEW 6 BG BEW 5 BG CEW 4 BG D.EW 3 BG EEW 2 BG F
2EW 2 BG AEW 1 BG BEW 6 BG CEW 5 BG D.EW 4 BG EEW 3 BG F
3EW 3 BG AEW 2 BG BEW 1 BG CEW 6 BG D.EW 5 BG EEW 4 BG F
4EW 4 BG AEW 3 BG BEW 2 BG CEW 1 BG D.EW 6 BG EEW 5 BG F
5EW 5 BG AEW 4 BG BEW 3 BG CEW 2 BG D.EW 1 BG EEW 6 BG F
6EW 6 BG AEW 5 BG BEW 4 BG CEW 3 BG D.EW 2 BG EEW 1 BG F

G'alati juftliklar mavjud bo'lganda, eng keng tarqalgan amaliyot - yakuniy jadvalni to'ldirish uchun fantom juftligini qo'shish. Shunday qilib, o'n etti juftlikdagi o'yin bitta pozitsiyani bo'sh bo'lgan to'qqizta stol uchun harakatni ishlatadi. Ikkala yo'nalishda ham bo'lishi mumkin bo'lgan hayoliy juftlik, etishmayotgan haqiqiy juftlik singari rivojlanadi. Qarama-qarshi yo'nalishda o'ynaydigan juftliklar fantom juftligini o'ynashni rejalashtirganda "o'tirishadi", shuning uchun ular tegishli bitimlarni (taxtalarni) o'ynashmaydi. Quyida tavsiflangan Rover Mitchell harakati va Ikki tomonlama Rover Mitchell harakati, bu erda g'alati juftlik har turda ko'chirilgan juft tashqarida o'tirgan holda har xil juftlikni almashtiradi, bu vaziyatda muqobil variantlardir.

Mitchell harakatini o'tkazib yuboring

Mitchellni o'tkazib yuborish - bu juft jadvallar uchun eng oddiy Mitchell harakati. Oddiy shaklda Sharq-G'arb juftlari yuqoriga ko'tariladi ikkitasi birinchi davrada o'ynagan bitimlarga (taxtalarga) duch kelganda (to'liq) harakatning o'rta nuqtasidagi jadvallar. Skipdan keyin o'ynaydigan taxtalar, to'g'ri Mitchell harakati singari, skipdan oldin o'ynagan taxtalar bilan o'zaro bog'lanish uchun. Biroq, skip davra sonini jadvallar sonidan bittaga kamroq cheklaydi, shuning uchun harakat to'liq bo'lmasligi mumkin. Shunday qilib, odatda jadvallar soni to'liq harakatni imkonsiz holga keltirganda o'tkazib yuborish Mitchellga afzallik beriladi. Quyidagi jadvalda to'qqiz tur o'ynagan o'nta jadval uchun "Skip Mitchell" harakati ko'rsatilgan. E'tibor bering, yana bitta rotatsiya Sharq-G'arb juftliklarini dastlabki jadvalga va birinchi davradagi raqiblariga qaytaradi.

Jadval1-tur2-tur3-tur4-tur5-tur6-tur7-tur8-tur9-tur
1EW 1 BG AEW 10 BG BEW 9 BG CEW 8 BG D.EW 7 BG EEW 5 BG FEW 4 BG GEW 3 BG HEW 2 BG I
2EW 2 BG BEW 1 BG CEW 10 BG D.EW 9 BG EEW 8 BG FEW 6 BG GEW 5 BG HEW 4 BG IEW 3 BG J
3EW 3 BG CEW 2 BG D.EW 1 BG EEW 10 BG FEW 9 BG GEW 7 BG HEW 6 BG IEW 5 BG JEW 4 BG A
4EW 4 BG D.EW 3 BG EEW 2 BG FEW 1 BG GEW 10 BG HEW 8 BG IEW 7 BG JEW 6 BG AEW 5 BG B
5EW 5 BG EEW 4 BG FEW 3 BG GEW 2 BG HEW 1 BG IEW 9 BG JEW 8 BG AEW 7 BG BEW 6 BG C
6EW 6 BG FEW 5 BG GEW 4 BG HEW 3 BG IEW 2 BG JEW 10 BG AEW 9 BG BEW 8 BG CEW 7 BG D.
7EW 7 BG GEW 6 BG HEW 5 BG IEW 4 BG JEW 3 BG AEW 1 BG BEW 10 BG CEW 9 BG D.EW 8 BG E
8EW 8 BG HEW 7 BG IEW 6 BG JEW 5 BG AEW 4 BG BEW 2 BG CEW 1 BG D.EW 10 BG EEW 9 BG F
9EW 9 BG IEW 8 BG JEW 7 BG AEW 6 BG BEW 5 BG CEW 3 BG D.EW 2 BG EEW 1 BG FEW 10 BG G
10EW 10 BG JEW 9 BG AEW 8 BG BEW 7 BG CEW 6 BG D.EW 4 BG EEW 3 BG FEW 2 BG GEW 1 BG H

Skip Mitchell harakati standart Mitchell harakati yoki Skip Mitchell harakati o'rnatilgandan so'ng keladigan o'yinchilarni joylashtirish uchun oddiy transport vositasini taqdim etadi. Rejissyor jadvallar sonining juft yoki toq bo'lishiga qarab, qo'shimcha jadvallarga qo'shimcha taxtali guruhlarni joylashtirishi va skipni qo'shishi yoki olib tashlashi kerak.

Relay va xayrlashing Mitchell (yoki Share va Relay Mitchell)

Relay and Bye Stand Mitchell, shuningdek Buyuk Britaniyada Share and Relay Mitchell deb nomlangan bo'lib, har bir Sharq-G'arbiy juftlik harakatning bir tomonida va g'alati taxtada juft guruh taxtalarini o'ynashi uchun standart Mitchell harakatining taxtali ketma-ketligini o'zgartiradi. harakatlarning boshqa tomonidagi guruhlar, jadvallarning juft sonlari bilan to'liq harakatlanishiga imkon beradi. Buni amalga oshirish uchun ketma-ket ikkita jadval har bir tur davomida bir xil taxtalar guruhini o'ynaydilar, qarama-qarshi guruhlar stolda o'ynashdan tashqarida o'tirishadi yoki bir xil bitimlarni o'ynayotgan stollar bilan to'g'ridan-to'g'ri qarama-qarshi stollar o'rtasida turishadi - va bu erda terminologiyaning mintaqaviy farqlari chalkashliklarni keltirib chiqarishi mumkin.

  • Amerika Kontrakt ko'prigi ligasida (ACBL) ikkita stolni taqsimlovchi taxtalar "o'rni" deb nomlanadi va ishlamaydigan taxtalarni ushlab turadigan stend "xayrlashuv stendi" deb nomlanadi.
  • Ammo English Bridge Union (EBU) da ikkita stolni taqsimlovchi taxtalar "ulush" deb nomlanadi va ishlamay qolgan taxtalarni ushlab turuvchi stend "o'rni" deb nomlanadi.

Quyidagi jadvalda 2-jadval va 3-jadval joylashgan bitta jadval taxtasi va 6-jadval va 7-jadval orasidagi xayrlashish stendlari joylashgan sakkizta jadvallar uchun Relay and Bye Stand Mitchell ko'rsatilgan (ular sakkizta jadval bilan to'g'ridan-to'g'ri 2-jadval va 3-jadvalga qarama-qarshi joylashgan, navbati bilan).

Jadval1-tur2-tur3-tur4-tur5-tur6-tur7-tur8-tur
1EW 1 BG AEW 8 BG BEW 7 BG CEW 6 BG D.EW 5 BG EEW 4 BG FEW 3 BG GEW 2 BG H
2EW 2 BG BEW 1 BG CEW 8 BG D.EW 7 BG EEW 6 BG FEW 5 BG GEW 4 BG HEW 3 BG A
3EW 3 BG BEW 2 BG CEW 1 BG D.EW 8 BG EEW 7 BG FEW 6 BG GEW 5 BG HEW 4 BG A
4EW 4 BG CEW 3 BG D.EW 2 BG EEW 1 BG FEW 8 BG GEW 7 BG HEW 6 BG AEW 5 BG B
5EW 5 BG D.EW 4 BG EEW 3 BG FEW 2 BG GEW 1 BG HEW 8 BG AEW 7 BG BEW 6 BG C
6EW 6 BG EEW 5 BG FEW 4 BG GEW 3 BG HEW 2 BG AEW 1 BG BEW 8 BG CEW 7 BG D.
XayrBG FBG GBG HBG ABG BBG CBG D.BG E
7EW 7 BG GEW 6 BG HEW 5 BG AEW 4 BG BEW 3 BG CEW 2 BG D.EW 1 BG EEW 8 BG F
8EW 8 BG HEW 7 BG AEW 6 BG BEW 5 BG CEW 4 BG D.EW 3 BG EEW 2 BG FEW 1 BG G

Jadvallarning jismoniy almashinuvi o'yinning rivojlanishini sekinlashtirishi mumkin, ayniqsa har turda atigi ikkita yoki uchta taxtada o'ynaganda va ko'plab o'yinchilar taxtalarning jismoniy almashinuvini noqulaylik deb bilishadi. Elektron ball bilan, shuningdek, o'yinchilar ballar tizimi tomonidan taqdim etilgan standart taxta raqamlarini bekor qilishni unutishi va shu bilan har bir guruhdagi taxtalar natijalarini kesib o'tishlari xavfini oshiradi. Buning uchta vositasi mavjud.

  • G'alati juftlik bilan rejissyor shimoliy-janubiy xayoliy juftlikni taxtalarni almashadigan jadvallardan biriga joylashtirishi va shu stolda Sharq-G'arbiy juftliklar uchun o'tirish imkoniyatini yaratishi mumkin. Taxtalar harakat tsiklida shunchaki xayoliy stolni o'tkazib yuboradi.
  • Ikkita bir xil bo'limga ega bo'lgan taqdirda, rejissyor jadvallarni taqsimlovchi juft jadvallarni harakatlarning qarama-qarshi nuqtalarida joylashtirishi mumkin, shunday qilib har bir bo'limdagi taxtalarni mantiqiy ravishda taqsimlaydigan jadvallardan biri, aks holda boshqa bo'limning yonida bo'ladigan taxtalardan foydalanishi mumkin. turish.
  • Agar zamonaviy taxtani nusxalash mashinasi mavjud bo'lsa, direktor bir xil bitimlarni o'ynayotgan ikkita jadvaldan biri uchun qo'shimcha taxtalar to'plamini nusxalashi mumkin. Bir nechta bo'limlarda joylashgan ikkita stol almashish taxtasi bilan direktor stollarni taqsimlash taxtalarini tegishli harakatlarning turli joylariga joylashtirishi mumkin, shunda ular bitta qo'shimcha to'plamdagi taxtalardan foydalanishlari mumkin.

Ushbu variantlarning har biri o'yinchilar uchun yanada yoqimli tajriba yaratib, to'p kiritish xatolarini kamaytiradi.

Ikkita taxtadan foydalanganda, ba'zi rejissyorlar har bir taxtalarni ulush tarkibiga kirmaydigan jadvallarning taxminan yarmida o'ynashni afzal ko'rishadi, shunda har qanday taxtada noto'g'ri ishlanganligi aniqlangan taqqoslashlar mavjud.

  • Variantlardan biri - harakatning har ikki tomonida taxtalarning alohida to'plamidan foydalanish, bu o'rni va bay stendida belgilanadi (yoki ulashish va o'rni). Yuqoridagi misol harakatida 1, 2, 7 va 8 jadvallarda bitta taxtalar to'plami ishlatilgan, taxtalar 2-jadvalga kirib 7-jadvalda, 3, 4, 5 va 6-jadvallarda boshqalari ishlatilgan. 6-jadvalga kiradigan va 3-jadvaldan chiqadigan taxtalar, har bir to'plamning qolgan taxtalari odatda ular kiradigan stol yonidagi stendlarga joylashtiriladi. Harakatning o'rta nuqtasidan oldingi turda (misolda 4-tur), rejissyor har ikki tomondan chiqqan taxtalarni stolning yonidagi stendga olib keladi, ular mashg'ulotda keyinroq kirishadi.
  • Yana bir variant - har bir turda bir xil bitimni o'ynaydigan ikkita jadvalning eng past soni bilan stolga bitta taxtani kiritish (yoki agar u 1-jadval bilan bir xil bitimni o'ynasa, eng yuqori raqam bilan) va pensiyaga chiqish. har bir turda bir xil bitimlarni o'ynaydigan ikkita jadvalning soni yuqoriroq bo'lgan stolda o'ynaganidan keyin boshqa taxtalar to'plami (yoki 1-jadval, agar u eng ko'p sonli jadval bilan bir xil savdoni o'ynasa). Yuqoridagi misolda taxtalarning bir to'plami 2-jadvalga kiradi va boshqa taxtalar to'plami 3-jadval o'ynaganidan keyin ishdan bo'shatiladi.

Ushbu variantlardan birinchisi odatda seans boshlanishida ikkala taxtali to'plamlari mavjud bo'lganda afzalroqdir, chunki u har qanday noto'g'ri taxtaning har bir versiyasida teng miqdordagi o'yinlarni taqdim etadi. Biroq, so'nggi variant rejissyorga o'yin boshlangandan so'ng taxtalarning ikkinchi to'plamining nusxasini to'ldirishga imkon beradi.

Kriskros Mitchell harakati (yoki ikki marta to'qish Mitchell harakati)

Crisscross Mitchell harakati standart Mitchell Harakatidagi o'yinchilar va taxtalarning harakatini o'zgartiradi, agar jadvallar soni to'rtdan ko'p bo'lsa (4), o'rni va xayrlashish stendisiz to'liq harakatga ruxsat berish (yoki almashish va o'rni). Ushbu harakat eng ko'p sakkiz yoki o'n ikki jadvalda qo'llaniladi, lekin to'rt yoki o'n oltita jadvalda ham foydalanish mumkin.

  • Sharqiy-G'arbiy juftlik va g'alati-g'arbiy juftliklar qarama-qarshi yo'nalishda harakat qilishadi, shuning uchun har bir tur oxirida savdo stantsiyalari bo'ylab yuqoriga ko'tarilgan juftliklar ("kriskros").
  • The boards move in the opposite direction from the East-West pairs leaving each table, thus crisscrossing on the other sides of the tables, except at the midpoint of the movement when the boards go to the opposite table in the movement (also a crisscross) and reverse direction.

Thus, the odd East-West pairs play the odd board groups in the first half of the movement and the even board groups in the second half of the movement while the even East-West pairs do the reverse.

The following table shows a Crisscross Mitchell Movement for eight tables. In this example, the odd East-West pairs move down while the even East-West pairs move up.

Jadval1-tur2-tur3-tur4-tur5-tur6-tur7-tur8-tur
1EW 1 BG AEW 8 BG BEW 3 BG GEW 6 BG DEW 5 BG HEW 4 BG CEW 7 BG FEW 2 BG E
2EW 2 BG BEW 3 BG AEW 8 BG DEW 5 BG GEW 6 BG CEW 7 BG HEW 4 BG EEW 1 BG F
3EW 3 BG CEW 2 BG DEW 5 BG AEW 8 BG FEW 7 BG BEW 6 BG EEW 1 BG HEW 4 BG G
4EW 4 BG DEW 5 BG CEW 2 BG FEW 7 BG AEW 8 BG EEW 1 BG BEW 6 BG GEW 3 BG H
5EW 5 BG EEW 4 BG FEW 7 BG CEW 2 BG HEW 1 BG DEW 8 BG GEW 3 BG BEW 6 BG A
6EW 6 BG FEW 7 BG EEW 4 BG HEW 1 BG CEW 2 BG GEW 3 BG DEW 8 BG AEW 5 BG B
7EW 7 BG GEW 6 BG HEW 1 BG EEW 4 BG BEW 3 BG FEW 2 BG AEW 5 BG DEW 8 BG C
8EW 8 BG HEW 1 BG GEW 6 BG BEW 3 BG EEW 4 BG AEW 5 BG FEW 2 BG CEW 7 BG D

Note that the Crisscross Mitchell Movement has the same set-up as a Straight Mitchell Movement with one additional table. Thus, the director can add a table to accommodate players who arrive after the movement has been set or, conversely, can retreat to this movement after setting a Straight Mitchell Movement for one additional table if players who are running late fail to show or if a pair scheduled to have the first sit-out decides to withdraw.

American Whist League (AWL) Movement

The American Whist League (AWL) Movement is a variation of the Standard Mitchell Movement in which the East-West pairs move down two tables rather than up one table. This movement talab qiladi that the number of tables be odd. The following table shows the AWL Movement for five tables.

Jadval1-tur2-tur3-tur4-tur5-tur
1EW 1 BG AEW 3 BG BEW 5 BG CEW 2 BG DEW 4 BG E
2EW 2 BG BEW 4 BG CEW 1 BG DEW 3 BG EEW 5 BG A
3EW 3 BG CEW 5 BG DEW 2 BG EEW 4 BG AEW 1 BG B
4EW 4 BG DEW 1 BG EEW 3 BG AEW 5 BG BEW 2 BG C
5EW 5 BG EEW 2 BG AEW 4 BG BEW 1 BG CEW 3 BG D

Although legal, the American Whist League Movement is seldom used in pair games because it offers no advantage whatsoever over a Standard Mitchell Movement, which runs more smoothly because players are accustomed to it. Rather, stripped of the first round, the AWL Movement finds its niche in "Board-a-Match" (BAM) team competition, as discussed below. Note that the numbers of the North-South pair (table) and the East-West pair playing each group of boards in Round 2 and Round 5 are reversed, and the same is true of the numbers of the North-South pair (table) and the East-West pair playing each group of boards in Round 3 and Round 4. In BAM competition, the North-South and East-West pairs with the same number are the two partnerships of the respective team.

Two Stanza Mitchell Movement

A Two Stanza Mitchell Movement is a movement configured for a break, which could be for lunch, for a presentation of some award or recognition, for election of club officers or transaction of club business requiring discussion and vote of the membership, or for some other purpose, at the midpoint of the session. In this situation, it's best to have all entrants play approximately the first half of the deals before the break, constituting the first stanza, and the remaining deals after the break, constituting the second stanza, so that there's no potential for discussion of deals during the break to compromise the play of any deals in the remaining rounds. The following table shows a Two Stanza Mitchell Movement for six tables with a break after the third round. The players and boards move in the normal manner for a Mitchell movement, except that all boards played in the first stanza go out of play and new boards come into play at the break. Note that this movement works best with enough copies of the boards so to eliminate physical sharing.

Jadval1-tur2-tur3-tur4-tur5-tur6-tur
1EW 1 BG AEW 6 BG BEW 5 BG CEW 4 BG DEW 3 BG EEW 2 BG F
2EW 2 BG BEW 1 BG CEW 6 BG AEW 5 BG EEW 4 BG FEW 3 BG D
3EW 3 BG CEW 2 BG AEW 1 BG BEW 6 BG FEW 5 BG DEW 4 BG E
4EW 4 BG AEW 3 BG BEW 2 BG CEW 1 BG DEW 6 BG EEW 5 BG F
5EW 5 BG BEW 4 BG CEW 3 BG AEW 2 BG EEW 1 BG FEW 6 BG D
6EW 6 BG CEW 5 BG AEW 4 BG BEW 3 BG FEW 2 BG DEW 3 BG E

The pattern of movement shown in this example will work for any even number of tables that is not a multiple of four, provided that the number of rounds is equal to the number of tables. Another option, for any even number of tables, is to use the American Whist League (AWL) movement, described above, within each stanza with East-West pairs moving just one table, either up or down, at the break. Alternatively, there are specific movement patterns for eight tables and twelve tables.

>> With eight tables, all East-West pairs move up ikkitasi tables after each round bundan mustasno at the midpoint, when they move up just one table. Thus, the odd-numbered East-West pairs visit the odd-numbered tables in the first stanza and the even-numbered tables in the second stanza while the even-numbered East-West pairs do the reverse.

>> With twelve tables, all East-West pairs move normally (that is, up one table after each round) except after Round 3 and Round 9, when they move up four (4) tables. For the East-West pairs, the tables skipped after Round 3 are the tables played in the last three rounds and the tables skipped after Round 9 are the tables played in the first three rounds.

It's also possible to use the Double Web Movement, described below, to accommodate any number of tables. However, the Double Web Movement requires that the break be either one round before or one round after the exact midpoint of the movement (that is, after either Round 3 or Round 5 if the movement is eight rounds or after either Round 5 or Round 7 if the movement is twelve rounds).

It's also possible to configure a Mitchell Movement with more than two stanzas to accommodate more than one break during a session, if circumstances require this.

Scissors Mitchell Movement

The Scissors Mitchell Movement is an interesting creature. The movement begins like a Standard Mitchell Movement, but it has two scissors rounds where each board group is split in half. In the first scissors round, which must be in the first half of the movement, each table plays one half of the boards in the board group that it receives, then passes those boards to the next lower table, which also plays them, while retaining but not playing the other half of the boards in the board group that it received initially. At the end of the first scissors round, the boards played twice get passed again and join the boards not played in the previous round at that table to form a new board group. The new board group remains intact until the second scissors round, which is half of the total number of rounds after the first. In the second scissors round, the boards played twice in the first scissors round are set aside and the boards not played in the second scissors round are played twice in the same manner. After the second scissors round, the boards played twice are passed again to reconstitute the original board group. The following table shows a Scissors Mitchell Movement of six tables playing six full rounds, with the halves of the initial board groups designated numerically (that is, the initial board group A consists of halves A1 and A2).

Jadval1-tur2-tur3-tur4-tur5-tur6-tur
1EW 1 BG A1,A2EW 6 BG B1,C1EW 5 BG D1,B2EW 4 BG E1,C2EW 3 BG D2,E2EW 2 BG F1,F2
2EW 2 BG B1,B2EW 1 BG C1,D1EW 6 BG E1,C2EW 5 BG F1,D2EW 4 BG E2,F2EW 3 BG A1,A2
3EW 3 BG C1,C2EW 2 BG D1,E1EW 1 BG F1,D2EW 6 BG A1,E2EW 5 BG F2,A2EW 4 BG B1,B2
4EW 4 BG D1,D2EW 3 BG E1,F1EW 2 BG A1,E2EW 1 BG B1,F2EW 6 BG A2,B2EW 5 BG C1,C2
5EW 5 BG E1,E2EW 4 BG F1,A1EW 3 BG B1,F2EW 2 BG C1,A2EW 1 BG B2,C2EW 6 BG D1,D2
6EW 6 BG F1,F2EW 5 BG A1,B1EW 4 BG C1,A2EW 3 BG D1,B2EW 2 BG C2,D2EW 1 BG E1,E2

Most Bridge scoring programs expect board groups to be invariant throughout the entire movement, so it may take a bit of creativity to get a program to score this type of movement. The external movement M0612 supplied with the ACBLscore® program distributed by the American Contract Bridge League, for example, implements a Scissors Mitchell Movement for six tables as twelve (half) rounds with both pairs remaining at each table for two consecutive (half) rounds and half of each initial board group assigned to each (half) round so that the halves of each initial board group can move separately.

Rover Mitchell Movement (or Bump Mitchell Movement)

A Rover Mitchell Movement, also called a Bump Mitchell Movement, is a modification of a Mitchell movement to accommodate an odd number of pairs without a phantom. This movement is most commonly employed to accommodate a pair who arrives after a movement is set, since it does not require addition of another table, or in situations in which there is not space for another table. In its standard form, the roving pair displaces only North-South or East-West pairs and scores in the respective field. The roving pair usually sits out in the first round, and other pairs sit out in subsequent rounds when the roving pair displaces them. The following table illustrates an East-West Rover Mitchell Movement for five tables playing five rounds; the roving pair is East-West Pair 6. Note that East-West Pair 5 is not "bumped" and thus plays all of the boards in the session.

Jadval1-tur2-tur3-tur4-tur5-tur
1EW 1 BG AEW 5 BG BEW 4 BG CEW 6 BG DEW 2 BG E
2EW 2 BG BEW 6 BG CEW 5 BG DEW 4 BG EEW 3 BG A
3EW 3 BG CEW 2 BG DEW 1 BG EEW 5 BG AEW 6 BG B
4EW 4 BG DEW 3 BG EEW 6 BG AEW 1 BG BEW 5 BG C
5EW 5 BG EEW 4 BG AEW 3 BG BEW 2 BG CEW 1 BG D
(Sit-Out)EW 6EW 1EW 2EW 3EW 4

The generation of a Rover Mitchell Movement involves some fairly complex sonlar nazariyasi. If the number of full tables is a asosiy raqam greater than four, the roving pair can start anywhere and move either up or down two tables in each round, thus displacing and encountering a different North-South pair, a different East-West pair, and a different group of boards in each round. The generation of Rover Mitchell Movement is considerably more difficult if the number of tables is not prime because the roving pair typically must move in an irregular manner to avoid both the deals and the pairs that it has encountered or displaced in the preceding rounds.

If another pair arrives after a Rover Mitchell Movement has been set, it's possible to add a "party table" to the Rover Mitchell Movement. The pair that arrives late becomes a stationary pair at the party table, playing the boards that the roving pair otherwise would not play against the roving pair in the first round and the boards that the roving pair is playing against the pair displaced by the roving pair in each subsequent round. The following table shows the Rover Mitchell Movement above with the addition of a party table (in this example, Table 6, with the added pair becoming North-South Pair 6). It's best to duplicate a separate set of boards for the "party table" because the "party table" plays the same deals as each of the other tables in one round, creating an awkward situation with actual sharing of boards.

Jadval1-tur2-tur3-tur4-tur5-tur
1EW 1 BG AEW 5 BG BEW 4 BG CEW 6 BG DEW 2 BG E
2EW 2 BG BEW 6 BG CEW 5 BG DEW 4 BG EEW 3 BG A
3EW 3 BG CEW 2 BG DEW 1 BG EEW 5 BG AEW 6 BG B
4EW 4 BG DEW 3 BG EEW 6 BG AEW 1 BG BEW 5 BG C
5EW 5 BG EEW 4 BG AEW 3 BG BEW 2 BG CEW 1 BG D
6EW 6 BG EEW 1 BG CEW 2 BG AEW 3 BG DEW 4 BG B

Web Movement

The Web Movement is a variation of the standard Mitchell movement in which there are more tables than rounds, but all pairs play all of the boards (deals) that are in play. There is one mathematical constraint – a Web movement with an odd number of tables kerak have an odd number of rounds. A Web movement with an even number of rounds requires that East-West pairs skip a table at the midpoint of the movement, so East–West pairs would skip a table after the sixth round in a twelve-round Web movement.

The actual web in a web movement always consists of an even number of tables not exceeding twice the number of rounds, split into two subsections of equal size. The first subsection plays the groups of boards in normal (ascending) order while the second subsection plays the groups of board in reverse (descending) order, sequenced so the boards move normally within each subsection, with additional groups of boards on a bye stand next to the highest table of each subsection. The East-West pairs move normally (up one table each round except in the case of a skip) within or through the web. The Web Movement in which six tables play five rounds, shown in the following table, illustrates how this works.

Jadval1-tur2-tur3-tur4-tur5-tur
1EW 1 BG AEW 6 BG BEW 5 BG CEW 4 BG DEW 3 BG E
2EW 2 BG BEW 1 BG CEW 6 BG DEW 5 BG EEW 4 BG A
3EW 3 BG CEW 2 BG DEW 1 BG EEW 6 BG AEW 5 BG B
Bye StandBG D, BG EBG E, BG ABG A, BG BBG B, BG CBG C, BG D
4EW 4 BG BEW 3 BG AEW 2 BG EEW 1 BG DEW 6 BG C
5EW 5 BG AEW 4 BG EEW 3 BG DEW 2 BG CEW 1 BG B
6EW 6 BG EEW 5 BG DEW 4 BG CEW 3 BG BEW 2 BG A
Bye StandBG D, BG CBG C, BG BBG B, BG ABG A, BG EBG E, BG D

One can prepend any number of additional subsections in which the number of tables is equal to the number of rounds onto any web, but each additional subsection requires an additional copy of the boards for the movement to run smoothly. Since the number of tables in the actual web must be even, this capability is what allows use of a Web Movement to play an odd number of rounds when the number of tables is odd. The following table shows the Web movement for eleven tables playing five rounds, obtained by prepending one subsection of five tables to the web in the preceding example (now at tables 6-11). The groups of boards move normally between the prepended subsection(s) and the lower half of the web, with boards from Table 1 going to the bye stand at the highest table in the lower subsection of the actual web (Table 8 in this example).

Jadval1-tur2-tur3-tur4-tur5-tur
1EW 1 BG AEW 11 BG BEW 10 BG CEW 9 BG DEW 8 BG E
2EW 2 BG BEW 1 BG CEW 11 BG DEW 10 BG EEW 9 BG A
3EW 3 BG CEW 2 BG DEW 1 BG EEW 11 BG AEW 10 BG B
4EW 4 BG DEW 3 BG EEW 2 BG AEW 1 BG BEW 11 BG C
5EW 5 BG EEW 4 BG AEW 3 BG BEW 2 BG CEW 1 BG D
6EW 6 BG AEW 5 BG BEW 4 BG CEW 3 BG DEW 2 BG E
7EW 7 BG BEW 6 BG CEW 5 BG DEW 4 BG EEW 3 BG A
8EW 8 BG CEW 7 BG DEW 6 BG EEW 5 BG AEW 4 BG B
Bye StandBG D, BG EBG E, BG ABG A, BG BBG B, BG CBG C, BG D
9EW 9 BG BEW 8 BG AEW 7 BG EEW 6 BG DEW 5 BG C
10EW 10 BG AEW 9 BG EEW 8 BG DEW 7 BG CEW 6 BG B
11EW 11 BG EEW 10 BG DEW 9 BG CEW 8 BG BEW 7 BG A
Bye StandBG D, BG CBG C, BG BBG B, BG ABG A, BG EBG E, BG D

In the special case in which prepended subsections reduce the actual web to just two tables as in the following example of a web of seven tables playing five rounds, it's possible to use just one set of the boards for both sides of the web. In this situation, the two tables in the web play the same group of boards only in the middle round if the number of rounds is odd, as illustrated by the following table showing a web of ten tables playing five rounds (with asterisks indicating the shared group of boards in the middle round). The simplest board movement is that boards played at the highest table go to a bye stand at the next lower table and boards played at Table 1 going to the bye stand next to the highest table, as this movement remains constant throughout.

Jadval1-tur2-tur3-tur4-tur5-tur
1EW 1 BG AEW 12 BG BEW 11 BG CEW 10 BG DEW 9 BG E
2EW 2 BG BEW 1 BG CEW 12 BG DEW 11 BG EEW 10 BG A
3EW 3 BG CEW 2 BG DEW 1 BG EEW 12 BG AEW 11 BG B
4EW 4 BG DEW 3 BG EEW 2 BG AEW 1 BG BEW 12 BG C
5EW 5 BG EEW 4 BG AEW 3 BG BEW 2 BG CEW 1 BG D
6EW 6 BG AEW 5 BG BEW 4 BG CEW 3 BG DEW 2 BG E
7EW 7 BG BEW 6 BG CEW 5 BG DEW 4 BG EEW 3 BG A
8EW 8 BG CEW 7 BG DEW 6 BG EEW 5 BG AEW 4 BG B
9EW 9 BG DEW 8 BG EEW 7 BG AEW 6 BG BEW 5 BG C
10EW 10 BG EEW 9 BG AEW 8 BG BEW 7 BG CEW 6 BG D
11EW 11 BG AEW 10 BG BEW 9 BG C*EW 8 BG DEW 7 BG E
Bye StandBG B, BG CBG C, BG EBG D, BG EBG EBG A, BG B
12EW 12 BG EEW 11 BG DEW 10 BG C*EW 9 BG BEW 8 BG A
Bye StandBG DBG ABG B, BG ABG A, BG CBG C, BG D

The number of tables in a web can be twice the number of rounds, but it's better to reduce the web to zero tables with two prepended subsections since this arrangement allows all boards to move in the normal manner of a Standard Mitchell Movement. To illustrate this point, the following tables show a web for ten tables playing five rounds (top) and the non-web alternative (bottom). The only difference is the boards in play the last plays the board groups in their natural order rather than in reverse order.

Jadval1-tur2-tur3-tur4-tur5-tur
1EW 1 BG AEW 10 BG BEW 9 BG CEW 8 BG DEW 7 BG E
2EW 2 BG BEW 1 BG CEW 10 BG DEW 9 BG EEW 8 BG A
3EW 3 BG CEW 2 BG DEW 1 BG EEW 10 BG AEW 9 BG B
4EW 4 BG DEW 3 BG EEW 2 BG AEW 1 BG BEW 10 BG C
5EW 5 BG EEW 4 BG AEW 3 BG BEW 2 BG CEW 1 BG D
6EW 6 BG DEW 5 BG CEW 4 BG BEW 3 BG AEW 2 BG E
7EW 7 BG CEW 6 BG BEW 5 BG AEW 4 BG EEW 3 BG D
8EW 8 BG BEW 7 BG AEW 6 BG EEW 5 BG DEW 4 BG C
9EW 9 BG AEW 8 BG EEW 7 BG DEW 6 BG CEW 5 BG B
10EW 10 BG EEW 9 BG DEW 8 BG CEW 7 BG BEW 6 BG A
Jadval1-tur2-tur3-tur4-tur5-tur
1EW 1 BG AEW 10 BG BEW 9 BG CEW 8 BG DEW 7 BG E
2EW 2 BG BEW 1 BG CEW 10 BG DEW 9 BG EEW 8 BG A
3EW 3 BG CEW 2 BG DEW 1 BG EEW 10 BG AEW 9 BG B
4EW 4 BG DEW 3 BG EEW 2 BG AEW 1 BG BEW 10 BG C
5EW 5 BG EEW 4 BG AEW 3 BG BEW 2 BG CEW 1 BG D
6EW 6 BG AEW 5 BG BEW 4 BG CEW 3 BG DEW 2 BG E
7EW 7 BG BEW 6 BG CEW 5 BG DEW 4 BG EEW 3 BG A
8EW 8 BG CEW 7 BG DEW 6 BG EEW 5 BG AEW 4 BG B
9EW 9 BG DEW 8 BG EEW 7 BG AEW 6 BG BEW 5 BG C
10EW 10 BG EEW 9 BG AEW 8 BG BEW 7 BG CEW 6 BG D

Bowman Movement

The Bowman Movement is the specific case of the Web Movement described above in which the actual web consists of two tables and there is exactly one (1) add-on block. In this movement, the next to last table plays the same group of boards as Table #1 in each round, and the last table plays the board groups in reverse order beginning with the last board group. It's theoretically possible to run this movement with only one set of boards as described in the linked article, but players will not like it, especially if there's no sit-out, because the last table shares boards with a different table in each round, creating complicated intra-round board exchanges, and there's a three-way share between Table 1 and the last two tables in the middle round if the number of rounds is odd. It would be considerably less intolerable to run this movement with just one set of boards if there's a phantom pair seated North-South at the last table, leaving the share between Table 1 and the penultimate table as the only active share. Still, it is better to use two copies of the boards so that the only active share is between the last two tables in the middle round.

Double Web Movement

Web movements are normally used in larger games in which a complete Mitchell movement is impracticable. However, they are also useful in situations in which it is desirable to have a break (for lunch, for presentation of awards or transaction of club business, or for any other reason) in the middle of a session. The use of a movement consisting of two stanzas, each of which is the basic Web Movement described above, ensures that any discussion of deals that might occur during the break won't compromise the play of those deals after the break. The following table shows a Double Web Movement for eight tables in which the first five rounds are the first Web Movement and the last three rounds are the second Web Movement. This particular movement will run smoothly with two copies of the boards in Board Groups A-E and three copies of the boards in Board Groups F-H, with Table 7 and Table 8 sharing one copy of Board Group G in Round 7, but it's best to duplicate four copies of the boards in advance if one intends to run a Double Web Movement.

Jadval1-tur2-tur3-tur4-tur5-tur6-tur7-tur8-tur
1EW 1 BG AEW 8 BG BEW 7 BG CEW 6 BG DEW 5 BG EEW 4 BG FEW 3 BG GEW 2 BG H
2EW 2 BG BEW 1 BG CEW 8 BG DEW 7 BG EEW 6 BG AEW 5 BG GEW 4 BG HEW 3 BG F
3EW 3 BG CEW 2 BG DEW 1 BG EEW 8 BG AEW 7 BG BEW 6 BG HEW 5 BG FEW 4 BG G
4EW 4 BG DEW E BG EEW 2 BG AEW 1 BG BEW 8 BG CEW 7 BG FEW 6 BG GEW 5 BG H
Bye StandBG EBG ABG BBG CBG D
5EW 5 BG CEW 4 BG BEW 3 BG AEW 2 BG EEW 1 BG DEW 8 BG GEW 7 BG HEW 6 BG F
6EW 6 BG BEW 5 BG AEW 4 BG EEW 3 BG DEW 2 BG CEW 1 BG HEW 8 BG FEW 7 BG G
7EW 7 BG AEW 6 BG EEW 5 BG DEW 4 BG CEW 3 BG BEW 2 BG FEW 1 BG G*EW 8 BG H
8EW 8 BG EEW 7 BG DEW 6 BG CEW 5 BG BEW 4 BG AEW 3 BG HEW 2 BG G*EW 1 BG F
Bye StandBG DBG CBG BBG ABG EBG GBG F, BG HBG G

A Double Web Movement inherits two constraints from the properties of the Web Movement described above.

  • The constraint that the number of rounds in a web movement must be odd if the number of tables is odd applies separately to each stanza of a double web movement, with the consequence that the number of rounds in a double web movement must be hatto when the number of tables is odd.
  • The requirement for East-West pairs to skip a table at the midpoint of a web with an even number of rounds also applies separately to each stanza of a Double Web Movement. If both stanzas have an even number of rounds, this results in ikkitasi skips -- and the number of tables must be at least two greater than the number of rounds to avoid "revenge" rounds in which pairs play against their opponents in a preceding round. However, one can avoid this situation by making the webs of unequal duration (for example, one web of five rounds and one web of three rounds rather than two webs of four rounds, as in the example above, for a total of eight rounds).

"One Winner" Movements

A "One Winner" Movement is a movement in which all entrants are part of the same scoring field, thus producing only one winner -- hence the name. Howell Movements, described below, are by far the most prevalent "One Winner" movements, but they are far from the only "One Winner" movements. There are many situations in which other "One Winner" Movements are better options.

"One Winner" Variants of Mitchell Movements"

Any Mitchell Movements described above mumkin become a "One Winner" Movement simply by scoring both directions in one field (one can have a "One Winner" Relay and Bye Stand Michell Movement or a "One Winner" Web Movement, for example). When this is done, every pair must have a separate number. The usual practice is for the stationary (North-South) pairs to retain their pair numbers while the moving (East-West) pairs add the number of tables to their starting table to get their pair number. Thus, in a "One Winner" Mitchell movement with seven tables, pairs 1-7, starting North-South at the respective tables, would be stationary and pairs 8-14, starting East-West at tables 1-7 respectively, would move. However, this movement is not ideal because the weight of opposition is far from balanced.

Scrambled Mitchell Movement

The Scrambled Mitchell Movement changes the direction of play for one or more rounds at most or all of the tables in a "One Winner" variant of a Mitchell Movmenet, customarily achieved by rotating the orientation of the table by one seat position and thus dubbed an "o'q tugmasi " so the stationary pairs do not physically change seats, to diminish this disparity. The pairs that start North-South remain at the same table for the entire session and the pairs who start East-West continue to move after each round, even when they play in the opposite direction. With the introduction of arrow switches, the movement becomes a Scrambled Mitchell Movement. More specifically, one can prepend the word "Scrambled" to that of the specific Mitchell Movement that gets scrambled (for example, a "Scrambled Relay and Bye Stand Mitchell Movement" or a "Scrambled Crisscross Mitchell Movement").

The selection of rounds with arrow switches affects the fairness of the result. The objective is for competitors who play against each other to have the same weighting as those who do not. Agar r is the number of rounds and s is the number of rounds in which all tables arrow switch, the pairs who play as opponents in the rounds that are not arrow switched have a relative influence of (r-1) for the board group played head to head, -(r-1-2s) for board groups played in opposite direction at different tables, and 2s for rounds played in the same direction for a total influence of (4s), while pairs that start in the same direction have a relative influence of (r-2s) for boards played in the same direction and -2s for boards played in opposite directions, for a total influence of (r-4s) in the absence of arrow switches on the same boards. Equating 4s=r-4s to equalize the influence yields the optimal solution s=r/8, which means that arrow switches on one eighth (1/8) of the rounds provides the best achievable balance. Thus, the English Bridge Union (EBU) formally recommends this practice. This roughly translates into arrow switches at all tables of the last round when playing six to nine rounds and in the last two rounds when playing twelve or thirteen rounds, provided that two tables are not playing the same group of boards -- the arrow switches should occur on a different group of boards, or a different pair of groups of boards, at each table, in any case. Of course, the balance is not perfect —- entrants who have arrow switches on the same group(s) of boards, including those in direct opposition on the affected rounds, will be outliers.

The principle of using arrow switches to diminish unfairness extends to all of "One Winner" Movements derived from Mitchell Movements, described below.

Two-Way Rover Mitchell Movement (or Two-Way Bump Mitchell Movement)

The Two-Way Rover Mitchell Movement, also called a Two-Way Bump Mitchell Movement, is conceptually the same as the Rover Mitchell Movement described above, but the roving pair plays in both directions, bumping the North-South pair for half of the boards and the East-West pair at the same table for the other half of the boards in each round with the first bump occurring in the second half of the first round, thus cutting the duration of the sit-out in half. These movements, which require "One Winner" scoring because the roving pair has comparisons in both directions, are most commonly used for games with either thirteen or fifteen pairs, the respective underlying movements being the "one winner" variants of a Relay and Bye Stand Mitchell Movement for six full tables and a Straight Mitchell Movement for seven full tables. In this movement, the pairs that start East-West add the number of to'liq tables to the number of their starting tables to obtain their pair number, and the roving pair receives the highest pair number. The original versions of these movements did not use arrow switches, but a common variation incorporates arrow switches in the last round to obtain a fairer balance of comparisons. The following table shows a Two-Way Rover Mitchell Movement for 4 1/2 tables with the underlying movement being the Crisscross Mitchell Movement. Movement tables for One Winner Movements use the notation of jvk to mean that pair j plays North-South and pair k plays East-West.

Jadval1-tur2-tur3-tur4-tur
11v5 BG A1,A21v8 BG B1,B29v7 BG D11v8 BG C1,C2
1v9 BG D2
22v6 BG B12v7 BG A1,A22v8 BG C1,C22v5 BG D1,D2
9v6 BG B2
33v7 BG C1,C23v6 BG D1,D23v5 BG B1,B29v8 BG A1
3v9 BG A2
44v8 BG D1,D29v5 BG C14v6 BG A1,A24v7 BG B1,B2
4v9 BG C2
O'tirish9/24/51/73/8

If a pair arrives after either of these movements is set, it's possible to add a "party table" in the same manner as with the normal Rover Mitchell Movement described above. The pair that remains at the "party table" receives the new highest pair number and the other pairs retain the numbers already assigned. Note that each displaced pair should sit opposite its normal direction while playing at the "party table" to obtain a better balance of comparisons. Thus, both the pair that remains at the party table and the roving pair play half of boards of each round in each direction. The following table shows the addition of a "party table" to the above movement.

Jadval1-tur2-tur3-tur4-tur
11v5 BG A1,A21v8 BG B1,B29v7 BG D11v8 BG C1,C2
1v9 BG D2
22v6 BG B12v7 BG A1,A22v8 BG C1,C22v5 BG D1,D2
9v6 BG B2
33v7 BG C1,C23v6 BG D1,D23v5 BG B1,B29v8 BG A1
3v9 BG A2
44v8 BG D1,D29v5 BG C14v6 BG A1,A24v7 BG B1,B2
4v9 BG C2
510v9 BG B110v4 BG C110v1BG D110v3 BG A1
9v2 BG B25v10 BG C27v10 BG D28v10 BG A2
Hesitation Mitchell Movement

The Hesitation Mitchell Movement is derived from the Relay and Bye Stand Mitchell Movement described above -- eliminate the stationary pairs at the two tables that would share boards and compress those to tables into one, where the two moving pairs play against each other. This produces a movement in which the number of rounds is one greater than the number of tables -- most commonly, five tables play six rounds, seven tables play eight rounds, or eleven tables play twelve rounds. It is also a specific Partial Howell Movement, but it's more readily described here because the numbering of pairs follows that of a "One Winner" Mitchell Movement rather than the normal convention of the Howell Movement described below.

In the Hesitation Mitchell Movement, the pairs seated North-South at every table but one are stationary for the entire movement. The hesitation table, which is usually the table with the highest number, does not have a stationary pair. The moving pairs move up one table at the end of each round, as in a Mitchell movement, except they play a round in each direction at the hesitation table before continuing on to the next table. Thus, each moving pair plays the pair that precedes it and the pair that follows it the rotation in addition to playing against each of the stationary pairs. The boards move down, passing through a bye stand directly opposite the hesitation table. The following table shows a Hesitation Mitchell Movement for five tables with arrow switches on the last round except at the hesitation table.

Jadval1-tur2-tur3-tur4-tur5-tur6-tur
11v6 BG A1v5 BG B1v10 BG C1v9 BG D1v8 BG E7vs1 BG F
22v7 BG B2v6 BG C2v5 BG D2v10 BG E2v9 BG F8v2 BG A
Bye StandBG CBG DBG EBG FBG ABG B
33v8 BG D3v7 BG E3v6 BG F3v5 BG A3v10 BG B9v3 BG C
44v9 BG E4v8 BG F4v7 BG A4v6 BG B4v9 BG C10v4 BG D
55v10 BG F10v9 BG A9v8 BG B8v7 BG C7v6 BG D6v5 BG E
Double Hesitation Mitchell Movement

A Double Hesitation Mitchell Movement has two points where moving pairs play North-South, though not normally at directly rotating tables, so that the number of rounds is two more than the number of tables. Thus, six tables can play eight rounds of three boards rather than six rounds of four boards. It also requires two bye stand tables, with the position of the rotations and bye stand tables chosen precisely to prevent a conflict.

Howell Movements

The Howell Movement, first developed by Edwin Cull Howell, has most pairs progress from table to table in a cycle that causes each pair to play against most or all of the other pairs for one round and each pair to play all of the boards (deals) in play during the session. All moving pairs follow the same progression, so each pair goes to the position occupied by the pair with the next lower number in the preceding round with Pair #1 going to the place occupied by the pair with the number equal to the number of rounds. The pair with the highest number sits North-South (at Table 1 in most, but not all, Howell movements)[6] and does not move from that position, and the number of each moving pair is the round in which it sits East-West at that table. If the number of rounds is less than the number of pairs by more than one, the additional pairs are quasi-stationary -- they remain at one table for the entire session, but play some rounds in each direction. The director may place a card at each table or issue a slip of paper called a guide card to each pair with the instructions for the movement.

The choice of a Howell Movement does limit options to accommodate various situations.

  • The only practical way to accommodate an odd number of pairs in a Howell movement is with the addition of a phantom pair because the complexity of Howell movements make it impracticable to configure a Howell movement for a rover.
  • Except in the case of replacement of a phantom pair with a real pair, it's often impracticable to accommodate a pair that arrives after the movement is set because tables sharing boards and bye stands are likely to be mispositioned.
  • Howell movements also have a limited number of stationary or quasi-stationary positions to accommodate players who have difficulty moving due to physical disabilities and other mobility impairments. The number of such positions in any Howell movement is the difference between the number of pairs and the number of rounds.
  • There's also no consistency to the location of quasi-stationary pairs among the various Howell movements, so addition or removal of a table to adjust for actual attendance may change the locations of quasi-stationary places, thus requiring relocation of players with disabilities or mobility impairments right at game time.

Howell movements for four or more tables typically sequence the tables in the reverse of the order in which they play each group of boards, with stands for the intervening boards where consecutive tables don't play consecutive board groups, so that boards move down in the same manner as in a Mitchell movement, with the caveat that a few Howell movements require the table with the highest number to share boards with Table 1.

Complete Howell Movement

In a Complete Howell Movement, the number of rounds is one less than the number of pairs. The pair with the highest number is stationary, playing each of the other pairs in numerical order. The following table shows a complete Howell movement for four tables, which consists of seven rounds. The pair numbers are indicated in the same manner as for other "One Winner" Movements for games of various levels.

Jadval1-tur2-tur3-tur4-tur5-tur6-tur7-tur
18v1 BG A8v2 BG B8v3 BG C8v4 BG D8v5 BG E8v6 BG F8v7 BG G
Bye StandBG B, CBG C, DBG D, EBG E, FBG F, GBG G, ABG A, B
26v3 BG D7v4 BG E1v5 BG F2v6 BG G3v7 BG A4v1 BG B5v2 BG C
Bye StandBG EBG FBG GBG ABG BBG CBG D
37v2 BG F1v3 BG G2v4 BG A3v5 BG B4v6 BG C5v7 BG D6v1 BG E
44v5 BG G5v6 BG A6v7 BG B7v1 BG C1v2 BG D2v3 BG E3v4 BG F

A Complete Howell Movement normally is practicable only for smaller games with a few tables, as the number of rounds becomes prohibitive for normal games with eight or more tables, but it is sometimes used in tournament situations. The following tables show the practicable Complete Howell Movements.

Normal Open Games (24-28 Deals)

Number of TablesNumber of RoundsBoards per RoundTotal Boards
35525
47428
59327
713226

Intermediate Games (18-22 Deals)

Number of TablesNumber of RoundsBoards per RoundTotal Boards
35420
47321
59218
611222

Advanced Beginner Games (14-18 Deals)

Number of TablesNumber of RoundsBoards per RoundTotal Boards
35315
47214
59218

Beginner Games (8-12 Deals)

Number of TablesNumber of RoundsBoards per RoundTotal Boards
35210

The fact that a Complete Howell Movement has only one stationary pair also limits its utility in games that must accommodate players with physical disabilities and impaired mobility.

In a Complete Howell Movement with n tables, each pair plays 2n-1 rounds —- one round against each of the other pairs and 2n-2 rounds at a different table from each of the other pairs. Ideally, each pair should play n-1 rounds in the same direction and n-1 rounds in opposite directions at other tables with respect to each of the other pairs to achieve the proper balance of comparisons, and thus equal weight of opposition, for a fair movement. Complete Howell Movements that achieve this exist for reasonable even numbers of tables, but are not known to exist for any odd number of tables. When the number of tables is odd, the Complete Howell Movements that come closest to meeting this goal have one pair with n-1 comparisons with each of the other pairs and 2n-1 pairs that have n-2 comparisons with n-1 of the other pairs, n-1 comparisons with 1 of the other pair, and n comparisons with the remaining n-1 of the other pairs.[7] The consistency of this pattern clearly suggests a fundamental mathematical limitation, but the present author has not yet found mathematical proof thereof. However, this relationship strongly suggests that a pair that is an extreme outlier in terms of playing ability or ranking compared to the rest of the field —- either particularly strong or particularly weak -— should be seated in the position that has the perfectly balanced comparisons to avoid skewing the results of the rest of the field.

The Complete Howell Movement for three tables, like the example shown in the following table, has irregular movement of the boards and a "free for all" round in which all tables share the last group of boards after all pairs play the first four groups of boards in the first four rounds because this situation does not have enough degrees of freedom to do otherwise. The director normally will need to move the boards when running this movement, as most players don't know the non-standard movement of the boards. Quyida tavsiflangan kengaytirilgan ikkilanuvchi Mitchell harakati, odatda uchta stolli o'yinlar uchun yaxshiroq tanlovdir - u silliqroq ishlaydi, chunki dastlabki to'rt turda taxtalar odatdagidek harakat qiladi va bu nogiron yoki harakatlanish qobiliyati cheklangan o'yinchilar uchun yaxshi yashash joyini taklif etadi. .

Jadval1-tur2-tur3-tur4-tur5-tur
16v1 BG A6v2 BG B6v3 BG C6v4 BG D.6v5 BG E
24v3 BG B5v4 BG C1v5 BG B2v1 BG C3v2 BG E
32v5 BG D.3v1 BG D.4v2 BG A5v3 BG A1v4 BG E
(Xayr stend)BG CBG ABG D.BG B-
Davradan keyinTaxtani aylantirish
1Uchburchak: 1-jadval -> Bye stendi -> 2-jadval -> 1-jadval; BG D 3-jadvalda qoladi
2Almashish: 1-jadval <-> 2-jadval; Almashish: Bye Stand <-> 3-jadval
3Uchburchak: 1-jadval -> 2-jadval -> Bye stendi -> 1-jadval; BG A 3-jadvalda qoladi
4Barcha kengashlar o'yindan chiqadi; Barcha jadvallarda E guruhi tomonidan almashtirildi

Ushbu harakatdagi "hamma davr uchun bepul" deb nomlanadi, chunki bu ko'pincha bitta taxta to'plami bo'lganida, ular hali o'ynamagan taxtani olishga intilayotgan o'yinchilarning g'azablanishiga olib keladi. Ushbu tur ta'sirlangan taxtalar guruhining ikki nusxasi bilan ancha yumshoqroq ishlaydi (har bir stolga taxtalarning taxminan uchdan ikki qismini joylashtiring, agar kerak bo'lsa birinchi taxtani yoki ikkitasini tugatgandan so'ng keyingi pastki jadvalga o'tkazing). muammosiz uchta nusxada (shuning uchun har bir jadvalning o'zi bor). Agar ushbu taxtalarning bitta nusxasi bo'lsa, rejissyor har bir stolda o'ynash tartibini boshqarishi kerak, chunki taxtani to'ldirgan har bir stol eng kam tugallangan spektakl bilan mavjud taxtaga o'tishini ta'minlashi kerak. Aks holda, ikkita stol muqarrar ravishda so'nggi o'yinlari uchun bir xil taxtaga muhtoj bo'lib, bir stol kutishga majbur qiladi, ikkinchisi esa o'ynaydi.

"Har qanday tur uchun bepul" va taxtaning tartibsiz harakatlaridan tashqari, har bir raundning o'yinlar taxtasi sonining beshdan bir qismidan iborat bo'lishi g'alati raqam bilan barcha to'liq Howell harakatlari uchun odatiy bo'lgan taqqoslash nomutanosibligini ancha kuchaytiradi. jadvallar.

Qanday qilib qisman Xauell harakati (yoki "Uch choraklik" Xovul harakati)

Qisman Xauell harakati, ba'zida "Uch choraklik Xovul harakati" deb ham ataladi, garchi aylanalar soni to'liq Xovul harakatlaridagi aylanalar sonining 3/4 qismiga to'g'ri kelmasa ham, Xovulning to'liq harakatiga qaraganda davra kamroq va stol guruhi kamroq. , lekin bir xil jadvallar uchun to'liq Mitchell Harakatiga qaraganda ko'proq tur. To'liq Howell Harakatining etishmasligi, aylanma sonidan kattaroq, ammo juftlik sonidan kam bo'lgan juftliklar uchun "aylanma jadvallar" da teng miqdordagi kvazi statsionar pozitsiyalar sonini hosil qiladi. Har bir yarim statsionar juftlik seans davomida bir stolda qoladi, ammo ba'zi turlarda Shimoliy-Janubni, boshqa turlarda esa Sharq-G'arbni o'ynaydi, odatda yarim statsionar o'yinchilarning jismoniy o'zgarishi bilan emas, balki tegishli jadvallarda strelka almashinuvi bilan erishiladi. o'rindiqlar. Barcha statsionar va kvazi statsionar juftliklar harakatlanayotgan juftlarning har biriga qarshi o'ynaydilar, ammo statsionar va kvazi statsionar juftliklar bir-biriga qarshi o'ynamaydilar va harakatlanayotgan juftliklar boshqa harakatlanayotgan juftlarning teng soniga qarshi o'ynashmaydi. Quyidagi jadvalda Amerika Shartnomali ko'prik ligasi tomonidan nashr etilgan ACBLscore® reyting dasturi tomonidan taqdim etilgan sakkiz turdan iborat oltita jadval uchun Qisman Xauell harakati ko'rsatilgan. 12-juftlik haqiqatan ham harakatsiz bo'lib, butun Shimoliy-Janub bo'ylab 1-jadvalda o'ynaydi. Kvazi statsionar juftliklar 2-jadvalda 11-juftlik, 3-jadvalda 10-juftlik va 4-jadvalda 9-juftlikdir. Ushbu alohida harakatda, abituriyentlarning uchta kichik guruhlari o'zlarining pastki qismlarining boshqa a'zolariga qarshi o'ynashmaydi. Ushbu kichik to'plamlar statsionar va yarim statsionar juftliklardan (9-juftlik, 10-juftlik, 11-juftlik va 12-juftlik), toq harakatlanuvchi juftliklardan (1-juftlik, 3-juftlik, 5-va 7-juftliklar) va juft harakatlanuvchi juftliklardan iborat. (2-juftlik, 4-juftlik, 6-juftlik va 8-juftlik).

Jadval1-tur2-tur3-tur4-tur5-tur6-tur7-tur8-tur
112v1 BG A12v2 BG B12v3 BG C12v4 BG G12v5 BG E12v6 BG F12v7 BG G12v8 BG H
211v8 BG B11v1 BG C11v2 BG D.11v3 BG E4v11 BG F5v11 BG G6v11 BG H7v11 BG A
310v6 BG C10v7 BG D.8v10 BG E1v10 BG F2v10 BG G3v10 BG H10v4 BG A10v5 BG B
45v9 BG D.6v9 BG E9v7 BG F9v8 BG G1v9 BG H2v9 BG A9v3 BG B9v4 BG C
57v4 BG E8v5 BG F1v6 BG G2v7 BG H3v8 BG A4v1 BG B5v2 BG C6v3 BG D.
63v2 BG F4v3 BG G5v4 BG H6v5 BG A7v6 BG B8v7 BG C1v8 BG D.2v1 BG E
(Xayr stend)BG G, HBG H, ABG A, BBG B, CBG C, D.BG D, E.BG E, FBG F, G

Eng ko'p nashr etilgan Qisman Xauell harakatlarining rivojlanishi yuqorida tavsiflangan matematik tahlil qarama-qarshi tomonlarning to'liq hisobini olib, qarama-qarshiliklarning to'liq og'irligini belgilashdan ancha oldin sodir bo'lgan. Shunday qilib, ishlab chiquvchilar statsionar va kvazi statsionar juftliklar jadvallarning qariyb yarmida to'g'ridan-to'g'ri taqqoslashlarga ega bo'lishlari uchun jadvallarni statsionar statsionar juftliklar bilan o'rnatdilar - bu matematik tahlil keyinchalik noto'g'ri ekanligini isbotladi. Natijada, harakatning adolatliligidagi jirkanch muvozanat. Ushbu nashr nashr etilgan to'liq Howell harakatlariga ta'sir qilmaydi, faqat abituriyentlarning barcha juftliklari to'liq Howell harakatida bir-biriga qarshi o'ynagani uchun, shuning uchun tuzatish barcha abituriyent juftlarining qarama-qarshi og'irligiga bir xil ta'sir qiladi. Keyingi jadvalda ushbu harakat uchun ACBLscore® skoring dasturi tomonidan bildirilgan taqqoslashlar sonining chastotalari ko'rsatilgan va keyingi jadvalda ACBLscore® skorlash dasturi tomonidan bildirilgan eng yuqori chegaralarni aks ettiruvchi juftliklar ko'rsatilgan, yulduzcha (*) bilan juftliklar ko'rsatilgan bir stolda to'g'ridan-to'g'ri qarama-qarshilikda o'ynamang. Dastlabki uchta qatorda yulduzcha bilan bog'lanish va oxirgi ikki qatorda yulduzcha bo'lmagan juftlik bu harakatdagi eng g'alati muvozanatdir.

Davralar taqqoslandiChastotaniDavralar taqqoslandiChastotani
01425
14510
2563
31771
Davralar taqqoslandiJuftliklar
06&9
1*1&7, 3&11, *4&6, *5&7
21&10, 1&11, 2&9, 2&10, 2&11
6*1&5, 1&6, *10&11
74&9
Qaychi Howell harakati

Qaychi Xauell harakati yuqorida aytib o'tilgan qaychi Mitchell harakati singari har bir taxta guruhini ikkiga ajratadi, har bir yarim mustaqil ravishda harakat qiladi. Ushbu harakat uchta jadval bilan eng foydalidir, bunda taxtalar to'liq Xovul harakati bilan taqqoslashda nomutanosiblikni bartaraf etadigan tarzda harakatlanishi mumkin, bu yuqorida ko'rib chiqilgan toq sonli jadvallar bilan har bir turda taxtalarning 20 foizini o'ynashi bilan kuchaytirilgan. . Quyidagi jadvalda uchta stol uchun qaychi Howell harakati ko'rsatilgan bo'lib, unda yarim taxta guruhlari bir-birini to'ldiruvchi tarzda harakat qilishadi, shunda yuqori yarmining nomutanosibligi pastki yarmining muvozanatiga qarshi turadi va muvozanatli harakatni hosil qiladi.

Jadval1-tur2-tur3-tur4-tur5-tur
16v1 BG A1, A26v2 BG B1, B26v3 BG C1, C26v4 BG D1, D26v5 BG E1, E2
25v2 BG C2, D21v3 BG D2, E22v4 BG E2, A23v5 BG A2, B24v1 BG B2, C2
33v4 BG B1, E14v5 BG C1, A15v1 BG D1, B11v2 BG E1, C12v3 BG A1, D1

Oddiy qaychi harakati uchun har bir to'liq taxta guruhi teng sonli taxtadan iborat bo'lishi kerak, shunda u aynan ikkiga bo'linishi mumkin - natijada beshta dumaloq qaychi harakati yigirma (20) yoki o'ttiz (30) taxtada o'ynashi kerak bo'ladi. . Ammo quyidagi jadvalda ko'rsatilgandek taxta kichik guruhlarining o'lchamlarini o'zgartirib, yuqoridagi harakat bilan 24 yoki 26 ta taxtalarni o'ynash mumkin - har bir jadval dastlabki to'rtta turning har birida beshta va to'rttadan oltitadan stol o'ynaydi. oxirgi tur.

Jami ijro etilgan kengashlar20242630
Kengashning A1 kichik guruhi1-2-jadval1-2-jadval1-3-jadvallar1-3-jadvallar
Kengashning A2 kichik guruhi3-4-jadval3-5-jadval4-5-jadval4-6-jadvallar
B1 kichik guruhi5-6-jadval6-8-jadvallar6-7-jadval7-9-jadvallar
B2 kichik guruhi7-8-jadval9-10 taxtalarPlitalar 8-1010-12-jadvallar
Kengashning C1 kichik guruhi9-10 taxtalar11-13 taxtalar11-12-jadvallar13-15-jadvallar
Kengashning C2 kichik guruhi11-12-jadvallar14-15-jadvallar13-15-jadvallar16-18 taxtalar
Kengashning D1 kichik guruhi13-14-jadvallar16-17-jadvallar16-18 taxtalar19-21-taxtalar
D2 kichik guruhi15-16 taxtalar18-20 taxtalar19-20 taxtalarKengashlar 22-24
E1 kichik guruhi17-18 taxtalar21-22-jadvallar21-23 taxtalar25-27-jadvallar
E2 kichik guruhi19-20 taxtalar23-24-jadvallar24-26-jadvallarKengashlar 28-30

Uchta jadval uchun qaychi Howell harakatini sozlash nazariy jihatdan mumkin, ammo buning amaliy sababi yo'q. To'g'ri muvozanatlashgan to'rtta jadval uchun to'liq Xauell harakatlari mavjud va besh yoki undan ortiq jadval uchun qaychi Xauell harakati har qanday oddiy vaziyatda amaliy foydalanish uchun juda ko'p taxtalarni o'ynashni talab qiladi.

Gibrid harakati

Ikki mashg'ulotdan iborat bo'lgan voqea bitta bo'limni tashkil qilish uchun faqat etarli miqdordagi ishtirokchilarni jalb qilganda, odatdagi amaliyot - birinchi mashg'ulotda Mitchell harakatini o'ynash, so'ngra alohida Howell yoki birinchi mashg'ulot qatnashchilari uchun unga tenglashtirilgan harakatlar Shimoliy-Janubiy va Sharqiy-G'arbiy. ikkinchi sessiyadagi maydonlar. Shunday qilib, o'n oltita juftlikdan iborat bo'lgan tadbir birinchi sessiyada "Relay and Bye Stand Mitchell" harakati (sakkiz tur), so'ngra ikkinchi mashg'ulotning asl maydonlarining har biri uchun alohida "Xauell harakatlari" (etti tur) bo'lib o'tadi, shunda har bir ishtirokchi u yoki bu sessiyada boshqa ishtirokchilarning har biriga qarshi o'ynash. Gibrid Harakat bitta mashg'ulot davomida ikkita misrani shakllantirish uchun bir xil yondashuvni qo'llaydi. To'liq Gibrid Harakat funktsional jihatdan To'liq Xauell Harakatiga tengdir, lekin u har bir turdan keyin jadvalni o'zgartirmaydigan bir nechta juftlikka ega, bu esa nogiron va harakatsiz o'yinchilar uchun yaxshi yashash joyini yaratadi.

Quyidagi jadvalda etti turdan iborat to'rtta jadval uchun to'liq Gibrid harakati ko'rsatilgan. Dastlabki to'rtta tur - bu Sharm-G'arbni boshlagan juftlarning har biri to'rtta jadvalning har biriga o'tib, Shimoliy-Janubni boshlagan juftlarning har birini o'ynaydigan to'rtburchaklardagi Mitchell harakati, to'rtta jadvalning uchtasida. So'nggi uch turda Shimoliy-Janubni boshlagan juftliklar 1-jadvalda va 2-jadvalda to'liq Xauell harakatini, Sharq-G'arbda boshlangan juftliklar 3-jadvalda va 4-jadvalda yana bir to'liq Xovul harakatini o'ynaydilar. dastlabki to'rt turda va juftlarning so'nggi uch turda joylashishi harakatni mukammal darajada muvozanatlashish uchun fitna uyushtiradi - har bir abituriyent bir stolni bir stolda bir-biriga qarshi o'ynaydi, har xil stollarda bitta yo'nalishda uchta guruh va turli xil stollarda qarama-qarshi yo'nalishdagi uchta guruh taxtasi. Ushbu maxsus harakat taxtalarning ikki nusxasi bilan eng yaxshi ishlaydi, lekin agar kerak bo'lsa, u 1-jadvalni almashish taxtalari bilan 2-jadval va 3-jadvalni taqsimlash jadvallari bilan 4-jadval bilan ishlashi mumkin.

Jadval1-tur2-tur3-tur4-tur5-tur6-tur7-tur
11v5 BG A1v6 BG B1v7 BG C1v8 BG D.1v4 BG E1v3 BG F1v2 BG G
22v6 BG A2v5 BG B8v2 BG C7v2 BG D.3v2 BG E2v4 BG F4v3 BG G
33v7 BG B8v3 BG A6v3 BG D.3v5 BG C5v7 BG F5v6 BG G5v8 BG E
44v8 BG B7v4 BG A4v5 BG D.4v6 BG C6v8 BG F8v7 BG G7v6 BG E

E'tibor bering, gibrid harakatlar ko'pincha jismoniy nogironligi va harakatchanligi buzilgan o'yinchilarga teng bo'lgan to'liq Xovell harakatiga qaraganda ancha yaxshi turar joy beradi. Ushbu misolda, 1-juftlik to'liq harakatsiz, 2-juftlik jadvallarni faqat bir marta o'zgartiradi, 4-juftlik jadvallarni ikki marta o'zgartiradi va 3-juftlik va 5-juftlik ikkitasi jadvallarni faqat uch marta o'zgartiradi. Ekvivalenti to'liq Howell harakati bitta turg'un juftlikka ega bo'lib, har bir turdan so'ng jadvallarni almashtirish uchun boshqa barcha juftlarni talab qiladi.

Jadvalning g'alati soni bo'lsa, Gibrid Harakatning birinchi qismi Scrambled ikkilanish Mitchell harakati sifatida ishlagani ma'qul, chunki bu statsionar juftliklar sonini statsionar va aylanuvchi uchun alohida Howell harakatlariga ruxsat beruvchi juft songa kamaytiradi. juftliklar. Harakatning ikkinchi qismida harakatsiz juftliklar to'liq Xauell harakatini, harakatlanayotgan juftliklar esa ikkilanish stolida o'ynagan juftliklarni "sog'inish" bilan qisman Xauell harakatini ijro etishadi. Uchta jadval bilan ushbu harakat quyida tavsiflangan kengaytirilgan ikkilanish Mitchell harakatiga aylanadi.

Kengaytirilgan ikkilanish Mitchell harakati

Uchta jadvaldan iborat o'yinda Gibrid Harakatning birinchi qismini tashkil etadigan ikkilanish Mitchell harakati har bir juftlikni dastlabki to'rt turda qolgan beshta juftlikning to'rttasiga qarshi o'tkazadi. Bu ikkinchi bosqichni bir raundgacha qisqartiradi, unda har bir juft harakatning dastlabki beshta raundida o'ynamagan juftlikka qarshi taxtalarning beshinchi guruhini o'ynaydi. Beshinchi tur, odatda, gibrid harakatning ikkinchi qismini tashkil etuvchi parallel Xauell harakatlaridan ko'ra, ikkilanish Mitchell harakatining kengayishi; shuning uchun ismdagi farq. Quyidagi jadvalda bu kengaytirilgan ikkilanish Mitchell harakati ko'rsatilgan.

Jadval1-tur2-tur3-tur4-tur5-tur
11v4 BG A1v3 BG B1v6 BG C1v5 BG D.1v2 BG E
(Xayr stend)BG BBG CBG D.BG A-
22v5 BG C2v4 BG D.3v2 BG A6v2 BG B4v6 BG E
33v6 BG D.6v5 BG A5v4 BG B4v3 BG C5v3 BG E

Kengaytirilgan ikkilanish Mitchell harakati yuqorida ko'rsatilgan uchta jadval uchun to'liq Howell Harakatiga tengdir, lekin u aylanuvchi juftliklar va taxtalar dastlabki to'rt tur davomida muntazam ravishda harakat qilganligi sababli umuman yumshoqroq ishlaydi. Qo'shimcha afzalliklarga ko'ra, 1-juftlik to'liq harakatsiz, 2-juftlik jadvallarni faqat bir marta o'zgartiradi va 6-juftlik jadvallarni faqat ikki marta o'zgartiradi - umuman olganda, harakatlanish qobiliyati ma'lum darajada buzilgan o'yinchilar uchun qabul qilinadigan yoki hech bo'lmaganda toqat qilinadigan turar joylar - ammo To'liq Howell harakati uchun har turdan keyin jadvallarni o'zgartirish uchun oltita juftlikdan beshtasi kerak. Taqqoslash balansi va "hamma davr uchun bepul" ning mavjudligi uchta jadval uchun har qanday to'liq Howell Harakatidagi kabi, shuning uchun bu harakatni Complete Howell harakati o'rniga ishlatishning hech qanday "past tomoni" yo'q. Uchta jadval uchun "Xovlning to'liq harakati" da "hamma uchun bepul" ga tegishli avvalgi munozaralar ham shu erda qo'llaniladi - eng yaxshisi E guruhidagi uchta taxtani taqdim etish kerak, shunda har bir jadval o'z nusxasiga ega bo'lishi mumkin.

Harakatlarni tanlash

Jadvallar va mashg'ulotlar davomiyligini har qanday kombinatsiyasini tanlash uchun ikkita yoki undan ortiq harakatlar mavjud. Tanlov tashkilotchilarning afzalliklariga bog'liq.

  • To'liq Howell Harakatlari har bir ishtirokchining boshqa barcha ishtirokchilarga qarshi o'ynashini ta'minlaydi, ammo davra va doskalarning soni turlicha bo'ladi va qulay bo'lmasligi mumkin. Bittadan tashqari barcha juftliklar har turdan keyin harakat qilishadi, bu harakatni sekinlashtiradi, ayniqsa bitta stol sekin bo'lsa va bitta statsionar stol bo'lsa, bu ba'zi o'yinchilarning harakatchanligi cheklangan bo'lsa muammoli. Har bir turda harakatlanish murakkab va stol kartalari yoki yo'riqnomalar muhim ahamiyatga ega. Bundan tashqari, xayoliy pozitsiyani to'ldirishdan tashqari, ular harakat o'rnatilgandan so'ng keladigan abituriyentlarni qo'shish uchun hech qanday moslashuvchanlikni taklif qilmaydi.
  • Oddiy Mitchell Harakatlari har bir stolda turg'un juftlikka ega va ular Xauell harakatlariga qaraganda ancha sodda va shuning uchun ularni boshqarish osonroq bo'ladi, shuning uchun maxsus stol tagliklari yoki yo'riqnomalarga ehtiyoj qolmaydi. Agar Mitchell harakatlariga jadval qo'shish juda oson, agar abituriyentlar harakat o'rnatilgandan keyin kelishsa.
  • Mitchellning ikkilanishi va qisman Howell harakatlari yuqoridagi holatlar orasida oraliqdir. Agar dumaloqlar soni jadvallar sonidan bittaga ko'p bo'lsa, ikkilanish Mitchell harakati juda sodda va shuning uchun ishlash juda oson.

To'liq Howell harakatlari kichik sonli jadvallar uchun eng qulaydir va Mitchell harakatlari ko'p sonli jadvallar uchun eng mosdir. Taxminan 3 soat davom etadigan odatiy klub mashg'ulotlarida Xauelldan etti va undan kam jadvallar uchun, Mitchelldan to'rt va undan ortiq jadvallar uchun foydalanish mumkin. 11 tagacha jadvallar uchun foydali alternativalar qisman Howell harakatlari, ikkilanish Mitchell harakatlari (jadvallarning g'alati sonlari) va er-xotin ikkilanish Mitchell harakatlari (jadvallarning juft sonlari) tomonidan berilgan. Shu bilan birga, rejissyor so'nggi tanlovni o'tkazishda nogiron futbolchilarni joylashtirish uchun statsionar joylarga ehtiyoj kabi holatlarni ko'rib chiqishi kerak.

Hozirgi mualliflar 2½ dan 8 jadvalgacha bo'lgan oddiy o'yinlar uchun yuqorida tavsiflangan quyidagi harakatlarni afzal ko'rishadi.

2 yoki 3 jadvallar

  • 20 ta kengash: kengaytirilgan ikkilanish Mitchell harakati (eng sodda), to'liq Howell harakati yoki qaychi Howell harakati (eng yaxshi muvozanatli); 4 ta taxtadan 5 ta tur
  • 24 ta taxta yoki 26 ta taxta: o'zgartirilgan taxta kichik guruhlari bilan qaychi Howell harakati; 5 ta taxtadan 4 ta tur + 4 ta yoki 6 ta taxtadan 1 ta tur
  • 25 ta kengash: kengaytirilgan ikkilanish Mitchell harakati (eng oddiy) yoki to'liq Xauell harakati; 5 ta taxtadan 5 ta tur

3 yoki 4 jadvallar

  • 20 ta taxta: Crisscross Mitchell harakati, 5 ta taxtadan 4 ta tur
  • 21 ta taxta: Gibrid harakati yoki to'liq Howell harakati, 3 ta taxtadan 7 ta tur
  • 24 ta taxta: Crisscross Mitchell harakati, 6 ta taxtadan 4 ta tur
  • 28 ta taxta: Gibrid harakati yoki to'liq Howell harakati, 4 ta taxtadan 7 ta tur

4½ jadvallar

  • 18 ta kengash: To'liq Xauell harakati, 2 ta taxtadan 9 ta tur
  • 24 ta kengash: Ikki tomonlama rover Mitchell harakati, 6 ta taxtadan 4 ta tur (3 ta o'tirish)
  • 27 ta kengash: To'liq Howell harakati, 3 ta taxtadan 9 ta tur

5 jadvallar

  • 18 ta kengash: To'liq Xauell harakati, 2 ta taxtadan 9 ta tur
  • 24 ta kengash: Ikkilanish Mitchell harakati, 4 ta taxtadan 6 ta tur
  • 25 ta kengash: To'liq Mitchell harakati, 5 ta taxtadan 5 ta tur
  • 27 ta kengash: To'liq Howell harakati, 3 ta taxtadan 9 ta tur

5½ yoki 6 jadvallar

  • 22 ta kengash: To'liq Howell harakati, 2 ta taxtadan 11 ta tur
  • 24 ta taxta: Relay va xayrlashuv Mitchell harakati, 6 ta tur 4 ta taxta yoki Mitchellning ikkilangan ikkilanishi, 3 ta taxtadan 8 ta tur.
  • 27 ta kengash: Qisman Howell harakati, 3 ta taxtadan 9 ta tur

6½ jadvallar

  • 21 ta kengash: To'liq Howell harakati, 3 ta taxtadan 7 ta tur
  • 24 ta kengash: Ikki tomonlama Rover Mitchell harakati, 4 ta doskaning 6 ta davri (2 ta taxtaga o'tirish) yoki ikkilanadigan Mitchel harakati, 3 ta taxtadan 8 ta tur
  • 26 ta kengash: To'liq Howell harakati, 2 ta taxtadan 13 ta tur

7 jadvallar

  • 21 ta kengash: To'liq Mitchell harakati, 3 ta taxtadan 7 ta tur
  • 24 ta kengash: Ikkilanish Mitchell harakati, 3 ta taxtadan 8 ta tur
  • 26 ta taxta: Xauellning to'liq harakati, 2 ta taxtadan 13 ta tur
  • 28 ta kengash: To'liq Mitchell harakati, 4 ta taxtadan 7 ta tur

7½ jadvallar

  • 24 ta kengash: Virtual ulush bilan Mitchell harakati estafetasi va xayrlashuvi, 3 ta taxtadan 8 ta tur
  • 28 ta kengash: Ikki tomonlama rover Mitchell harakati, 7 ta tur 4 ta taxta (2 ta taxtada o'tirish)

8 jadvallar

  • 24 ta kengash: Relay va xayrlashuv Mitchell harakati yoki ikki kishilik veb-harakat, 3 ta taxtadan 8 ta tur

Shaxsiy o'yinlar uchun harakatlar

"Bridge" ning raqobatbardosh o'yinchilari orasida individual o'yinlar azaldan pasayishni boshlagan va bu ularning turnirlarda asta-sekin yo'q bo'lib ketishiga olib kelgan. Amerika Kontrakt ko'prigi ligasida (ACBL) New England Bridge konferentsiyasi (ACBL 25-sonli tuman) kam ishtirok etganligi sababli yakka tartibdagi musobaqalar o'tkazilgan so'nggi mintaqaviy musobaqani to'xtatdi [8] uni tiriltirish niyatida emas. Shunga qaramay, individual o'yinlar hali ham qonuniydir.

Kamalak harakati

Shaxsiy o'yinlar uchun Rainbow harakati juftlik o'yinlari uchun Mitchell harakati analogidir. Kamalak harakatida har bir o'yinchi har doim bir xil yo'nalishda o'tirib, Shimoliy, Janubiy, Sharqiy va G'arbiy alohida maydonlarni va to'rtta g'olibni ishlab chiqaradi. To'liq Kamalak harakatida jadvallar soni aylanalar soniga teng. Shimolda o'tirgan o'yinchilar harakatsiz, Janubiy, Sharqiy va G'arbda joylashgan o'yinchilar bir-biridan farq qiladigan va har bir turdan keyin taxtalar harakatidan farq qiladigan tarzda harakat qilishadi.

Muntazam ravishda kamalak harakati

Muntazam kamalak harakati jadvallar sonini asosiy son - ya'ni bitta musbat butun bo'luvchisi o'zi va bitta bo'lgan sonni talab qiladi. Muntazam kamalak harakatida har bir yo'nalishdagi o'yinchilar har bir turdan so'ng xuddi shu tarzda harakat qilishadi. Quyidagi harakat bir misoldir.

  • Sharqiy o'yinchilar ikkita jadvalni yuqoriga ko'tarishadi.
  • Janubiy futbolchilar bitta jadvalni yuqoriga ko'tarishadi.
  • G'arbiy futbolchilar ikkita jadvalni tushiradilar.
  • Kengashlar DOWN ONE jadvalini harakatga keltiradi.

Ushbu harakatlarning har qanday joylashuvi ishlaydi.

Quyidagi jadvalda beshta jadval uchun muntazam ravishda kamalak harakati ko'rsatilgan. O'yinchilar uchun yozuv va v va .

Jadval1-tur2-tur3-tur4-tur5-tur
11N & 1Sv1E & 1W BG A1N & 5Sv4E & 3W BG B1N & 4Sv2E & 5W BG C1N & 3Sv5E & 2W BG D1N & 2Sv3E & 5W BG E
22N & 2Sv2E & 2W BG B2N & 1Sv5E & 4W BG C2N & 5Sv3E & 1W BG D2N & 4Sv1E & 3W BG E2N & 3Sv4E & 1W BG A
33N & 3Sv3E & 3W BG C3N & 2Sv1E & 5W BG D3N & 1Sv4E & 2W BG E3N & 5Sv2E & 4W BG A3N & 4Sv5E & 2W BG B
44N & 4Sv4E & 4W BG D4N & 3Sv2E & 1W BG E4N & 2Sv5E & 3W BG A4N & 1Sv3E & 5W BG B4N & 5Sv1E & 3W BG C
55N & 5Sv5E & 5W BG E5N & 4Sv3E & 2W BG A5N & 3Sv1E & 4W BG B5N & 2Sv4E & 1W BG C5N & 1Sv2E & 4W BG D

Noqonuniy kamalak harakati

Noqonuniy kamalak harakatida Janubiy, Sharqiy va G'arb futbolchilarining harakati har turda o'zgarib turadi. Ushbu harakatlar sezilarli muhandislikni talab qiladi va shimollik futbolchilar statsionar bo'lib qolishlari shart emas. Quyidagi jadvalda sakkizta jadval uchun Kamalak harakati ko'rsatilgan.

Jadval1-tur2-tur3-tur4-tur5-tur6-tur7-tur8-tur
11N & 1Sv1E & 1W BG A1N & 3Sv5E & 8W BG B1N & 5Sv6E & 4W BG C1N & 7Sv2E & 5W BG D1N & 6Sv8E & 7W BG E1N & 8Sv4E & 2W BG F1N & 2Sv3E & 6W BG G1N & 4Sv7E & 3W BG H
22N & 2Sv2E & 2W BG B4N & 2Sv8E & 5W BG C2N & 6Sv5E & 3W BG D8N & 2Sv7E & 4W BG E2N & 5Sv7E & 8W BG F4N & 5Sv1E & 3W BG G2N & 1Sv4E & 5W BG H8N & 5Sv2E & 6W BG A
33N & 3Sv3E & 3W BG C3N & 1Sv7E & 6W BG D7N & 3Sv4E & 6W BG E7N & 1Sv8E & 3W BG F3N & 8Sv6E & 5W BG G3N & 6Sv2E & 4W BG B7N & 8Sv5E & 4W BG A7N & 6Sv1E & 5W BG B
44N & 4Sv4E & 4W BG D6N & 8Sv2E & 3W BG E8N & 4Sv3E & 5W BG F6N & 4Sv5E & 2W BG G4N & 7Sv5E & 6W BG H6N & 3Sv7E & 5W BG A8N & 7Sv6E & 3W BG B6N & 7Sv4E & 8W BG C
55N & 5Sv5E & 5W BG E5N & 7Sv1E & 4W BG F5N & 1Sv2E & 8W BG G5N & 3Sv6E & 1W BG H5N & 2Sv4E & 3W BG A5N & 4Sv8E & 6A BG B5N & 6Sv7E & 2W BG C5N & 8Sv3E & 7W BG D
66N & 6Sv6E & 6W BG F8N & 6Sv4E & 1W BG G6N & 2Sv1E & 7W BG H4N & 6Sv3E & 8W BG A6N & 1Sv3E & 4W BG B8N & 1Sv5E & 7W BG C6N & 5Sv8E17W BG D.4N & 1Sv6E & 2W BG E
77N & 7Sv7E & 7W BG G7N & 5Sv3E & 2W BG H3N & 7Sv8E & 2W BG A3N & 5Sv4E & 7W BG B7N & 4Sv2E & 1W BG C7N & 2Sv6E & 8W BG D3N & 4Sv1E & 8W BG E3N & 2Sv5E & 1W BG F
88N & 8Sv8E & 8W BG H2N & 4Sv6E & 7W BG A4N & 8Sv7E & 1W BG B2N & 8Sv1E & 6W BG C8N & 3Sv1E & 2W BG D2N & 7Sv3E17W BG E4N & 3Sv2E & 7W BG F2N & 3Sv8E & 4W BG G

Shomate harakati

Shomate harakati juft o'yinlar uchun Howell harakati bilan o'xshashdir - harakatlanuvchi o'yinchilar yo'nalishini o'zgartiradilar. To'liq Shomate Harakatida turlar soni o'yinchilar sonidan bitta kam bo'ladi va faqat bitta o'yinchi harakatsiz, odatda 1-jadvalda Shimoliy tomonda joylashgan. Statsionar o'yinchi odatda eng ko'p sonli o'yinchiga ega bo'lib, ularning soni raqami bilan mos keladigan o'yinchi bilan hamkorlik qiladi. tur raqami. Harakatlanayotgan o'yinchilar bir xil tsiklda harakat qilishadi, ularning har biri keyingi pastki raqamga ega bo'lgan o'yinchini kuzatib boradi.

Quyidagi jadvalda etti turdan iborat ikkita jadval uchun to'liq Shomate harakati ko'rsatilgan. Ushbu harakat barometr o'yini sifatida ishlashi kerak, chunki bu har ikkala bitimni faqat ikkita jadval bilan taqqoslashning yagona usuli, ammo ikkitadan ortiq jadval uchun Shomate harakatlari bunday emas.

Jadval1-tur2-tur3-tur4-tur5-tur6-tur7-tur
18 va 1v6 va 2 BG A8 va 2v7 va 3 BG B8 & 3v1 va 4 BG C8 & 4v2 & 5 BG D.8 & 5v3 va 6 BG E8 & 6v4 & 7 BG F8 & 7v5 va 1 BG G
25 & ​​7v3 va 4 BG A6 va 1v4 va 5 BG B7 & 2v5 & 6 BG C1 va 3v6 va 7 BG D.2 va 4v7 va 1 BG E3 & 5v1 & 2 BG F4 va 6v2 va 3 BG G

Shomate harakatlari uchta yoki to'rttadan ortiq stolli o'yinlar uchun amalda bo'lmasligi kerak, chunki ular juda ko'p turlarni talab qiladi.

Jamoa o'yinlari uchun harakatlar

Jamoa o'yini uchun tanlangan harakat musobaqa turiga va ishtirokchilar soniga bog'liq.

Shveytsariyaning standart jamoaviy musobaqasi

Shveytsariya jamoasining standart musobaqasi uchun harakat ishtirokchilar soniga bog'liq. Agar ishtirokchilar soni etarlicha kam bo'lsa, har bir ishtirokchi boshqa ishtirokchilarning har birini o'ynashi kerak - bu "Dumaloq Robin" formati deb nomlangan. Agar bitta davra Robin tanlovi uchun ishtirokchilar soni juda ko'p bo'lsa, ishtirokchilar qobiliyatiga yoki reytingiga qarab qavslarga bo'linib, boshqa ishtirokchilarni o'zlarining qavslarida "Dumaloq Robin" formatida o'ynashlari yoki birinchi o'yin tayinlanishi mumkin. tasodifiy va keyingi o'yinlar butun maydon bo'ylab oldingi o'yinlar natijalariga qarab dinamik ravishda tayinlanadi.

Toq ishtirokchilar soni bo'lgan voqea yoki qavs, abituriyentlarning kamida uchtasi har bir turda o'zaro o'yinlarni o'tkazishini talab qiladi. Interfaa qilingan o'yinlarning har bir to'plami ikki tur o'yinini talab qiladi. Har bir jamoaning Shimoliy-Janubiy juftligi bitta uchrashuvning bir tomonini o'ynaydi, Sharqiy-G'arbiy juftligi esa ikkinchi bosqichning ikkinchi davrasida boshqa o'yinning bir tomonini o'ynaydi. Ikkinchi raundda har bir juftlik boshqa raund birinchi davrada o'ynagan o'yinning boshqa tomonini juftlashtiradi. Keyin jamoa ikkala uchrashuvni ham gol bilan yakunlaydi.

Quyidagi jadvalda uchta jamoaning o'zaro o'yinlari ko'rsatilgan. Jamoalar raqamlar o'rniga ushbu jadvaldagi kichik harflar bilan belgilanadi, chunki ularning soni jadvallar raqamlariga to'g'ri kelmasligi kerak, ammo harakat haqiqatan ham ikkinchi jadval va uchinchi turdan iborat bo'lib, uchta jadval uchun standart Mitchell harakati. O'yinchilar aralashgan va har bir uchrashuv uchun kartalarni taqsimlaydigan musobaqalarda kartalar birinchi raund uchun aralashtiriladi, ammo bu formatda ikkinchi davra uchun emas.

JadvalBirinchi davraIkkinchi davra
1xvz BG Axvy BG B
2yvx BG Byvz BG C
3zvy BG Czvx BG A

Dumaloq Robin harakatlari

Dumaloq Robin Harakatida uchrashuvlar soni ishtirokchilar sonidan bitta kam, shuning uchun har bir jamoa boshqa jamoalarning har biriga qarshi o'ynaydi. Haqiqatan ham, "Round Robin" harakati bitta seansda oltidan ortiq jamoada va ikkita seansda o'ndan ortiq jamoada amalga oshirilmaydi, chunki uchrashuvlar juda kam bitimlar o'ynaydi.

Hatto jamoalar soni

Dumaloq Robin tadbirida yoki qavsida juft sonli jamoalar bo'lsa, barcha jamoalar bir-birlari bilan bosh uchrashuvlarda o'ynashlari mumkin. Quyidagi jadvalda to'rtta jamoa uchun uchrashuvlarning eng oddiy tartiblari keltirilgan.

DumaloqUchrashuv AUchrashuv B
11v23v4
21v32v4
31v42v3

G'alati jamoalar

G'alati miqdordagi ishtirokchilar bir-birlarini bir-birlari bilan o'yinlarda ringlarda o'ynashlari yoki birinchi turni olib tashlagan holda (yuqoridagi) "Juft harakatlar" bo'limida tasvirlangan "Amerika Whist League" harakati yordamida o'ynashlari kerak.

  • Odatda uchta jadval yuqorida ko'rsatilgan uchta intervalgacha o'yinlarning formatidan foydalanadi.
  • Amerika kontrakt ko'prigi ligasi (ACBL) tomonidan tavsiya etilgan format[9] beshta jamoalar uchun quyidagi jadvalda ko'rsatilgan ikkala intervalli o'yinlarning halqalaridan iborat, chunki bu o'yinchilarga ikkinchi davradan keyin dastlabki ikkita o'yinda gol urishlariga imkon beradi. Agar taxtalar guruhlari jadvalda ko'rsatilgandek harakat qilsalar, so'nggi ikki turda dastlabki ikki raund bilan bir xil bitimlardan foydalanish mumkin. ACBL har bir jamoaning shimoliy-janubiy va sharqiy-g'arbiy juftliklari qo'shni maydonda o'ynamasliklari uchun jadvalda ko'rsatilgandek, to'rtta jamoaning uy jadvallarini (jadvalda ko'rsatilganidek) birinchi rishtadan keyin almashtirishni tavsiya qiladi. jadvallar.
Jadval1-tur2-tur3-tur4-tur
11v4 BG A1v3 BG C1v5 BG D.1v2 BG E
22v5 BG B2v4 BG D.4v3 BG B4v5 BG C
33v1 BG C3v5 BG E2v1 BG E2v3 BG A
44v2 BG D.4v1 BG A5v4 BG C5v1 BG D.
55v3 BG E5v2 BG B3v2 BG A3v4 BG B
  • Etti yoki to'qqizta jamoaning davra davri mos ravishda uchta yoki to'rtta halqalar qatorida o'tkazilishi mumkin edi, ammo amaliyot ko'proq tarqalgan bo'lib, uchta jamoa o'zaro o'yinlarni, qolgan jamoalar esa har bir turda boshma-yuz uchrashuvlarni o'tkazishadi. . To'qqizta jamoa bilan, quyidagi jadvalda ko'rsatilgandek to'rtta uch tomonlama o'yinlarni o'tkazish imkoniyati mavjud.
Sarlavha matni1 va 2-turlar3 va 4-turlar5 va 6-turlar7 va 8-turlar
Birinchi uzuk1, 2, 3 jamoalar1, 4, 7 jamoalar1, 5, 9 jamoalar1, 6, 8 jamoalar
Ikkinchi halqa4, 5, 6 jamoalar2, 5, 8 jamoalar2, 6, 7 jamoalar2, 4, 9 jamoalar
Uchinchi uzuk7, 8, 9 jamoalar3, 6, 9 jamoalar3, 4, 8 jamoalar3, 5, 7 jamoalar

Yuqorida juftlik harakati sifatida tavsiflangan American Whist League (AWL) Harakati, birinchi turni olib tashlash yo'li bilan besh, etti yoki to'qqizta jadvallardan iborat bo'lishi mumkin. Shu bilan bir qatorda, ushbu harakatning birinchi bosqichida taxtalarni takrorlash uchun foydalanish mumkin, chunki har bir stol ustidagi taxtalar aynan tegishli jamoa musobaqada o'ynamaydigan taxtalardir.

Kattaroq o'yinlar uchun harakatlar

Agar biron bir voqea davra Robin harakati uchun juda ko'p ishtirokchilarni jalb qilsa va maydonni qavslarga ajratish istalmagan bo'lsa, odatdagi amaliyot shundan iboratki, keyingi bosqichlar uchun o'yinlarni g'alaba yoki mag'lubiyat marjasi asosida berilgan G'alaba ballari yig'indisi bo'yicha dinamik ravishda belgilash. oldingi turlarda, hech bir jamoa boshqa jamoaga qarshi bitta turdan ko'proq o'ynay olmaydi degan cheklovni hisobga olgan holda. Bu kuchliroq jamoalarning yuqori darajadagi kurashda yaxshi natijalarga erishayotgan boshqa kuchliroq jamoalar bilan raqobatlashishiga, kuchsizroq jamoalarning pastgacha bo'lgan kurashda boshqa kuchsiz jamoalar bilan raqobatlashishiga va o'rtacha jamoalarning o'rtasiga qarab tortishlariga sabab bo'ladi. doimiy (chunki kuchsizroq jamoani katta farq bilan mag'lub etgan o'rtacha jamoa kuchli jamoaga qarshi o'ynashi kerak va aksincha). Ko'pgina kompyuter skorlash dasturlari endi keyingi o'yinlarni avtomatik ravishda ishlab chiqaradi va algoritmlar keyingi bosqichlarda nomaqbul topshiriqlar paydo bo'lishini ta'minlash uchun etarlicha takomillashtirilgan.

Nokaut musobaqasi

Nokaut musobaqasida, ishtirokchilar odatda to'qqizdan o'n oltita jamoadan iborat qavslarga bo'linib, har bir qavs ichidagi dastlabki pozitsiyalarni qavslar jadvalidagi boshlang'ich pozitsiyalar uchun tasodifiy durang bilan tayinlashadi. Uchrashuvlarning har bir raundi boshdan boshgacha yoki uch tomonlama o'yinlardan yoki ularning har qanday kombinatsiyasidan iborat bo'lishi mumkin, ularning har biri muddati bir raundni tashkil qiladi (shuning uchun uch tomonli o'yinning har bir tomoni boshning kelishuvlari sonining yarmini o'ynaydi o'sha turda bosh uchrashuvi). Har bir boshdan boshgacha g'olib keyingi bosqichda davom etadi va mag'lubiyat yo'q qilinadi. Uch tomonlama o'yinda ikkita jamoa bitta jamoani chiqarib yuborish bilan davom etishi mumkin aksincha. Qavslar odatda musobaqaning yarim final bosqichida to'rtta jamoaga tushadigan qilib tuzilgan.

Standart nokaut musobaqalari odatda to'rt raunddan iborat.

  • To'liq nokaut musobaqasida har bir raund har bir boshdan boshgacha uchrashuv bo'lib, yigirma to'rtta bitimdan iborat bo'lib, odatda ikki kun davomida har kuni ikkita seans o'tkaziladi. Uchinchi turda juftliklar uchinchi va to'rtinchi o'rinlar uchun kurash olib borishdi. Oxirgi tur g'olibga birinchi o'rinni, yutqazganga ikkinchi o'rinni beradi.
  • Yilni nokaut musobaqasida har bir seansda har bir boshdan boshga qadar ikki tur bo'lib, odatda bir kunda o'tkaziladigan o'n ikkita bitimdan iborat. Birinchi davrada mag'lub bo'lgan jamoalar ikkinchi davrada taskin beruvchi o'yinlarni o'tkazishadi, lekin umumiy hisobda joylasha olmaydilar. Uchinchi turda mag'lub bo'lgan jamoalar to'rtinchi turda bosh bilan o'ynashadi, g'olib uchinchi, yutqazgan esa to'rtinchi o'rinni egallaydi.

Chempionatning turli tadbirlari ko'proq seanslardan va bitta maydon uchun kattaroq uchrashuvlardan iborat bo'lishi mumkin.

Soloway (gibrid) jamoaviy musobaqasi

Soloway jamoaviy musobaqasi - bu ikki bosqichli gibrid tadbir bo'lib, unda birinchi bosqich Shveytsariya jamoasining standart musobaqasi bo'lib, undan yuqori jamoalar ikkinchi bosqichda umumiy g'olibni aniqlaydigan Knock-Out musobaqasiga kirishadilar. Ushbu format bitta musobaqa sifatida, nokaut bosqichida bir necha bosqichda chiqarib yuborish bilan yoki har bir qavsning o'z saralash va so'nggi bosqichlariga ega bo'lgan qavsli voqea sifatida davom etishi mumkin. Agar tadbirda qavs yozilgan bo'lsa, saralash bosqichi odatda "Dumaloq Robin" formatidir, shuning uchun har bir jamoa o'z qavsidagi boshqa jamoalarga qarshi o'ynaydi.

Match-Batch (BAM) harakatlari

Board-a-Match (BAM) tadbiri - bu Shveytsariya jamoasining musobaqasi bo'lib, unda har bir kengash g'olib va ​​mag'lubiyatga uchragan holda alohida o'yin deb hisoblanadi. Ushbu voqealar odatda har bir jamoaning boshqa jamoalarning har biriga qarshi bir nechta taxtalarni o'ynashidan iborat bo'lib, juftlik o'yinlari uchun shunga o'xshash harakatdan foydalanadi, ammo har qanday ikkita jamoa ikkala yo'nalishda ham bir xil taxtalarni o'ynaydi. Eng keng tarqalgan jamoaviy harakat - bu yuqorida tavsiflangan Amerika Whist League (AWL) harakati, birinchi davra olib tashlangan (shuning uchun jamoaning Shimoliy-Janubiy juftligi o'zining Sharq-G'arb juftligiga qarshi o'ynamaydi). Biroq, jamoalar haqiqiy raqobatning birinchi bosqichiga o'tishdan oldin, ular o'ynamaydigan taxtalar bo'lgan AWL Harakatining 1-raundidagi stollarida turgan taxtalarni aralashtirib, muomala qilishlari mumkin.

Bir nechta jadvallar uchun narsalar qiyinlashadi. Oddiy echim - Amerikalik Whist harakatidan juft sonli raundlar bilan, lekin bir yoki bir nechta jamoalar o'zaro o'ynamaslik, bu ideal emas. Davralar orasidagi bir yoki ikkitasi boshqacha bo'ladi, bunda taxta / jamoaviy nizolarga yo'l qo'ymaslik kerak. Yaxshi muvozanatli, ammo murakkabroq alternativ harakatlar mavjud, EBU harakatlari qo'llanmasiga qarang.

Jamoa musobaqasining boshqa shakllari

AWL harakati aylanma harakat (har bir jamoa boshqa barcha jamoalarga qarshi o'yin o'tkazadi) bo'lganligi sababli, jamoalar soni ko'p bo'lganida, har bir uchrashuvga taxtalar soni kam bo'lishi kerak. Agar bu istalmagan bo'lsa, raqobatchilarni o'ynashni tashkil qilishning boshqa shakllaridan foydalanish kerak. Eng keng tarqalgan nokautlar va shveytsariyaliklar. Bu ikkalasida ham jamoalar har bir turda qulay sonli kengashlarning o'zaro uchrashuvlarini o'tkazishadi. Nokautlarda o'yin g'oliblari keyingi bosqichga yo'l olishadi; yutqazganlar voqeadan chetlashtiriladi. In Swiss, after each round, the tournament director examines the record of each team and assigns pairs of teams with similar records, but that have not played against each other, to oppose each other in the next round. In either form, if there is an odd number of teams, one or more round-robins involving 3 teams must be used. In knockouts, if a round robin is used, the number of boards in each match must be half the number used in the head-to-head matches (a "half-match"), to allow all competitors to finish a round in approximately the same amount of time. In Swiss, it is possible to use either the half-match technique (in which case the subsequent pairings need to give less weight to the half-match results), or, to have the teams involved play the full number of boards, in which case the results will not be known until the other competitors have completed two matches. This means that the number of rounds must be even. Also, because the teams involved will not have results to compare for future pairings for two rounds, in the later rounds it is desirable to avoid assigning the leading teams to the round robin.

Tashqi havolalar

Adabiyotlar

  1. ^ Movement Chart, English Bridge Union
  2. ^ [1] ACBL Codification, Chapter VIB, Section 1.5
  3. ^ "Balanced Movements in Bridge " published by the Brisbane Water Bridge Club
  4. ^ Tim Delaney, "How Fair Are Howell Movements?" on "bridgewinners.com" web site, 12 June 2013.
  5. ^ The ACBL Club Director's Handbook, American Contract Bridge League, Horn Lake, MS
  6. ^ Examination of Howell movements supplied by the ACBLscore® scoring program published by the American Contract Bridge League shows this to be the case. Both complete Howell movements for five tables playing nine rounds from this source put the stationary Pair #10 at Table 3, and thus are among the exceptions.
  7. ^ Analysis of Comparisons for Howell Movements in the ACBLscore® Bridge Scoring Program published by the American Contract Bridge League (ACBL).
  8. ^ Explanatory e-mail correspondence to members from New England Bridge Conference Executive Committee to members of the conference.
  9. ^ Course Notes from the American Contract Bridge League's course for club directors.
  • EBU Movements Manual