Oltita pentagrammik antiprizmlarning birikmasi - Compound of six pentagrammic antiprisms

Oltita pentagrammik antiprizmlarning birikmasi
UC44-6 pentagrammik antiprizms.png
TuriBir xil birikma
IndeksUC44
Polyhedra6 pentagrammik antiprizmalar
Yuzlar60 uchburchaklar, 12 pentagramlar
Qirralar120
Vertices60
Simmetriya guruhichiral ikosahedral (Men)
Kichik guruh bitta tarkibiy qism bilan cheklangan5 baravar dihedral (D.5)

Bu bir xil polyhedron birikmasi a chiral nosimmetrik tartib pentagrammik antiprizmalar, a ning besh marta aylanish simmetriyasi o'qlari bilan hizalanadi dodekaedr.

Dekart koordinatalari

Dekart koordinatalari chunki bu birikmaning tepaliklari ning tsiklik permutatsiyalari

(± (τ + √τ)−1), ± τ−1, ± (-1 + √τ))
(± √τ−1, ± 2, ± √τ)
(± (−τ + √τ)−1), ± τ−1, ± (1 + √τ))
(± (-1 + √τ)−1), ± (−τ), ± (τ)−1+ √τ))
(± (1 + √τ)−1), ± (−τ), ± (−τ)−1+ √τ))

± = (1 + -5) / 2 bu erda "±" tanlovida minuslarning juft soniga ega oltin nisbat (ba'zan yoziladi φ).

Adabiyotlar

  • Skilling, Jon (1976), "Uniform polyhedra ning yagona aralashmalari", Kembrij falsafiy jamiyatining matematik materiallari, 79 (3): 447–457, doi:10.1017 / S0305004100052440, JANOB  0397554.