Rhodomesohedron (EntityTopic, 11)
From Hi.gher. Space
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| - | {{Shape| | + | {{Shape |
| + | | image=http://img129.imageshack.us/img129/2226/dodecahedron8do.png | ||
| + | | dim=3 | ||
| + | | elements=32, 60, 30 | ||
| + | | genus=0 | ||
| + | | 20=SSC | ||
| + | | wythoff=<nowiki>2 | 3 5</nowiki> | ||
| + | | schlaefli=r{[[Pentagon|5]],[[Dodecahedron|3]]} or r{[[Triangle|3]],[[Icosahedron|5]]} | ||
| + | | vlayout={[[Triangle|3]]⋅[[Pentagon|5]]}<sup>2</sup> | ||
| + | | vfigure=[[Rectangle]], edges 1 and φ | ||
| + | | bowers=Id | ||
| + | | kana=ｲﾄﾞ | ||
| + | | dual=[[Rhombic triacontahedron]] | ||
| + | }} | ||
The '''icosidodecahedron''' has a convenient name as it represents both the number of faces in the polyhedron ('''icosidodeca''' = 32) and also the combination of the two [[regular polytope]]s that can be [[rectified]] to form it ('''icosa'''hedron + '''dodeca'''hedron). | The '''icosidodecahedron''' has a convenient name as it represents both the number of faces in the polyhedron ('''icosidodeca''' = 32) and also the combination of the two [[regular polytope]]s that can be [[rectified]] to form it ('''icosa'''hedron + '''dodeca'''hedron). | ||
Revision as of 20:05, 18 November 2007
The icosidodecahedron has a convenient 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).
| 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 |
