Rhodomesohedron (EntityTopic, 11)

From Hi.gher. Space

The rhodomesohedron is the mesotruncate of the dodecahedron and icosahedron. It is also called the icosidodecahedron, which is an interesting name as it represents both the number of faces in the polyhedron (icosidodeca = 32) and also the combination of the two regular polytopes that can be rectified to form it (icosahedron + dodecahedron).

Incidence matrix

Dual: rhombic triacontahedron

0 Va = point ;
1 Ea 2 = digon ;
2 3a 33 = triangle ;
3 5a 55 = pentagon ;
4 C1a 30602012 = rhodomesohedron ;

Usage as facets

Notable Trishapes
Regular: tetrahedroncubeoctahedrondodecahedronicosahedron
Direct truncates: tetrahedral truncatecubic truncateoctahedral truncatedodecahedral truncateicosahedral truncate
Mesotruncates: stauromesohedronstauroperihedronstauropantohedronrhodomesohedronrhodoperihedronrhodopantohedron
Snubs: snub staurohedronsnub rhodohedron
Curved: spheretoruscylinderconefrustumcrind