Rhodomesohedron (EntityTopic, 11)
From Hi.gher. Space
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- | {{Shape | + | {{STS Shape |
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| dim=3 | | dim=3 | ||
| elements=32, 60, 30 | | elements=32, 60, 30 | ||
| genus=0 | | genus=0 | ||
- | | | + | | extra={{STS Uniform polytope |
| wythoff=<nowiki>2 | 3 5</nowiki> | | wythoff=<nowiki>2 | 3 5</nowiki> | ||
| schlaefli=r{[[Pentagon|5]],[[Dodecahedron|3]]} or r{[[Triangle|3]],[[Icosahedron|5]]} | | schlaefli=r{[[Pentagon|5]],[[Dodecahedron|3]]} or r{[[Triangle|3]],[[Icosahedron|5]]} | ||
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| kana=イド | | kana=イド | ||
| dual=[[Rhombic triacontahedron]] | | 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 15:16, 14 March 2008
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 |