Compound of ten hexagonal prisms

Updated on Dec 10, 2024

Edit

Comment

This uniform polyhedron compound is a symmetric arrangement of 10 hexagonal prisms, aligned with the axes of three-fold rotational symmetry of an icosahedron.

Cartesian coordinates

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

(±√3, ±(τ⁻¹−τ√3), ±(τ+τ⁻¹√3))(±2√3, ±τ⁻¹, ±τ)(±(1+√3), ±(1−τ√3), ±(1+τ⁻¹√3))(±(τ−τ⁻¹√3), ±√3, ±(τ⁻¹+τ√3))(±(1−τ⁻¹√3), ±(1−√3), ±(1+τ√3))

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

(Text) CC BY-SA