Compound of six decagrammic prisms

Cartesian coordinates for the vertices of this compound are all the cyclic permutations of

(±√(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))

where τ = (1+√5)/2 is the golden ratio (sometimes written φ).

• Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, Bibcode:1976MPCPS..79..447S, doi:10.1017/S0305004100052440, MR 0397554.

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.

• v
• t
• e