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, J_{72} to J_{83}, 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
# | TXID | Va | Ea | Eb | 5a | 4a | 3a | Type | Name |
---|---|---|---|---|---|---|---|---|---|
0 | Va | = point | ; | ||||||
1 | Ea | 2 | = digon | ; | |||||
2 | Eb | 2 | = digon | ; | |||||
3 | 5a | 5 | 5 | 0 | = pentagon | ; | |||
4 | 4a | 4 | 2 | 2 | = square | ; | |||
5 | 3a | 3 | 0 | 3 | = triangle | ; | |||
6 | C1a | 60 | 60 | 60 | 12 | 30 | 20 | = rhodoperihedron | ; |
Usage as facets
- 2× 1-facets of a castellated rhodoperihedral prism
Notable Trishapes | |
Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
Snubs: | snub staurohedron • snub rhodohedron |
Curved: | sphere • torus • cylinder • cone • frustum • crind |