WikiDer > Olti dekagrammik prizmaning birikmasi

Compound of six decagrammic prisms
Olti dekagrammik prizmaning birikmasi
UC41-6 dekagrammatik prisms.png
TuriBir xil birikma
IndeksUC41
Polyhedra6 dekagrammatik prizmalar
Yuzlar12 dekagrammalar, 60 kvadratchalar
Qirralar180
Vertices120
Simmetriya guruhiikosahedral (Menh)
Kichik guruh bitta tarkibiy qism bilan cheklangan5 baravar antiprizmatik (D.5d)

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

Dekart koordinatalari

Dekart koordinatalari chunki bu birikmaning tepaliklari ning tsiklik permutatsiyalari

(± √ (τ / -5), ± 2τ−1, ± √ (τ−1/√5))
(± (√ (τ / √5) + τ−2), ± 1, ± (√ (τ)−1/ -5) −τ−1))
(± (√ (τ / √5) −τ)−1), ± τ−2, ± (√ (τ.)−1/√5)+1))
(± (√ (τ / √5) + τ−1), ± τ−2, ± (√ (τ.)−1/√5)−1))
(± (√ (τ / √5) −τ)−2), ± 1, ± (√ (τ)−1/ -5) + τ−1))

bu erda ph = (1 + -5) / 2 bu oltin nisbat (ba'zan yoziladi φ).

Adabiyotlar

  • Skilling, Jon (1976), "Uniform polyhedra ning yagona aralashmalari", Kembrij falsafiy jamiyatining matematik materiallari, 79 (03): 447–457, doi:10.1017 / S0305004100052440, JANOB 0397554.