Rhodoperihedron (EntityTopic, 11)

From Hi.gher. Space

The rhodoperihedron, also known as the (small) rhombicosidodecahedron, is the peritruncate of the dodecahedron and icosahedron. There are 12 Johnson solids, J72 to J83, which are named after this shape (hence the push for elemental names so that they aren't so ridiculously long).

Incidence matrix

Dual: deltoidal hexecontahedron

#TXIDVaEaEb5a4a3aTypeName
0 Va = point ;
1 Ea 2 = digon ;
2 Eb 2 = digon ;
3 5a 550 = pentagon ;
4 4a 422 = square ;
5 3a 303 = triangle ;
6 C1a 606060123020 = rhodoperihedron ;

Usage as facets


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