Triangular hebesphenorotunda (EntityTopic, 14)

From Hi.gher. Space

The triangular hebesphenorotunda is the 92nd Johnson solid, J92.

Coordinates

The following coordinates describe a triangular hebesphenorotunda with edge length 2, with its 3-fold axis of symmetry aligned to the Z axis:

The top triangle:

<0, 2/√3, 2*φ^2/√3>

<±1, -1/√3, 2*φ^2/√3>

The base of the triangles surrounding the top triangle:

<±1, φ^3/√3, 2*φ/√3>

<±φ^2, -1/(φ*√3), 2*φ/√3>

<±φ, -(φ+2)/√3, 2*φ/√3>

The tips of the pentagons:

<±φ^2, φ^2/√3, 2/√3>

<0, -2*φ^2/√3, 2/√3>

The hexagonal base

<±1, ±√3, 0>

<±2, 0, 0>

where φ=(1+√5)/2 is the Golden Ratio.