Rhodomesohedral rotunda (EntityTopic, 15)
From Hi.gher. Space
The rhodomesohedral rotunda, also known as the icosidodecahedral rotunda, is a CRF polychoron, rhodomesohedron || enlarged dodecahedron || truncated dodecahedron. Its cells are 1 rhodomesohedron, 12 pentagonal rotundae, 40 tetrahedra and one truncated dodecahedron.
History
This polytope was discovered by Mrrl as one of the "offcuts" from diminishing the rectified 120-cell.
Coordinates
<φ+1, 0, 0, ±1> <φ+1, 0, ±1, 0> <φ+1, ±1, 0, 0> <φ+1, ±(φ-1)/2, ±1/2, ±φ/2> <φ+1, ±1/2, ±φ/2, ±(φ-1)/2> <φ+1, ±φ/2, ±(φ-1)/2, ±1/2> <φ+1/2, 0, ±(φ-1)/2, ±(φ+2)/2> <φ+1/2, ±(φ-1)/2, ±(φ+2)/2, 0> <φ+1/2, ±(φ+2)/2, 0, ±(φ-1)/2> <φ+1/2, ±(φ-1)/2, ±φ/2, ±φ> <φ+1/2, ±φ/2, ±φ, ±(φ-1)/2> <φ+1/2, ±φ, ±(φ-1)/2, ±φ/2> <φ+1/2, ±φ/2, ±1, ±(φ+1)/2> <φ+1/2, ±1, ±(φ+1)/2, ±φ/2> <φ+1/2, ±(φ+1)/2, ±φ/2, ±1> <3φ/2, 0, ±1/2, ±(φ+1)/2> <3φ/2, ±1/2, ±(φ+1)/2, 0> <3φ/2, ±(φ+1)/2, 0, ±1/2> <3φ/2, ±φ/2, ±φ/2, ±φ/2>
where φ = 1+√5∕2 is the golden ratio.
