Rhodoperihedron (EntityTopic, 11)
From Hi.gher. Space
(Redirected from Icosidodecahedral rectate)
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 |