Snub rhodohedron (EntityTopic, 11)
From Hi.gher. Space
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| - | {{Shape| | + | <[#ontology [kind topic] [cats 3D Uniform Polytope]]> |
| + | {{STS Shape | ||
| + | | dim=3 | ||
| + | | elements=92, 150, 60 | ||
| + | | sym=[[Chiral rhodohedral symmetry|I, ½H<sub>3</sub>, [5,3]<sup>+</sup>, (532)]] | ||
| + | | genus=0 | ||
| + | | ssc={G5<sup>3</sup>}X7A | ||
| + | | ssc2=Ki0 | ||
| + | | extra={{STS Polytope | ||
| + | | flayout={{FLD|a3|i|ate|i|a5|cr}} | ||
| + | | dual=[[Pentagonal hexecontahedron]] | ||
| + | | bowers=Snid | ||
| + | }}{{STS Uniform polytope | ||
| + | | schlaefli=s{[[Pentagon|5,]][[Dodecahedron|3]]} | ||
| + | | conway=s[[Dodecahedron|d]][[Icosahedron|s]][[Tetrahedron|Y3]] | ||
| + | | vlayout=[[Triangle|3]]<sup>4</sup>⋅[[Pentagon|5]] | ||
| + | | vfigure=Irregular [[pentagon]] | ||
| + | }}}} | ||
| - | + | <[#polytope [id 30]]> | |
| - | + | {{Trishapes}} | |
Latest revision as of 11:30, 2 March 2014
Incidence matrix
Dual: pentagonal hexecontahedron
| # | TXID | Va | Ea | Eb | Ec | 5a | 3a | 3b | Type | Name |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Va | = point | ; | |||||||
| 1 | Ea | 2 | = digon | ; | ||||||
| 2 | Eb | 2 | = digon | ; | ||||||
| 3 | Ec | 2 | = digon | ; | ||||||
| 4 | 5a | 5 | 5 | 0 | 0 | = pentagon | ; | |||
| 5 | 3a | 3 | 1 | 1 | 1 | = triangle | ; | |||
| 6 | 3b | 3 | 0 | 0 | 3 | = triangle | ; | |||
| 7 | C1a | 60 | 60 | 30 | 60 | 12 | 60 | 20 | = snub dodecahedron | ; |
Usage as facets
This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.
| 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 |
