Snub staurohedron (EntityTopic, 11)
From Hi.gher. Space
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| - | {{Shape| | + | <[#ontology [kind topic] [cats 3D Uniform Polytope]]> |
| + | {{STS Shape | ||
| + | | image=<[#embed [hash YDQPGGB8SGC10FSMT8WWJ1V6C3] [width 180]]> | ||
| + | | dim=3 | ||
| + | | elements=38, 60, 24 | ||
| + | | sym=[[Chiral staurohedral symmetry|O, ½BC<sub>3</sub>, [4,3]<sup>+</sup>, (432)]] | ||
| + | | genus=0 | ||
| + | | ssc=<xyz>X7A | ||
| + | | ssc2=Ko0 | ||
| + | | extra={{STS Polytope | ||
| + | | flayout={{FLD|a3|i|ate|i|a4|cr}} | ||
| + | | dual=[[Pentagonal icositetrahedron]] | ||
| + | | bowers=Snic | ||
| + | }}{{STS Uniform polytope | ||
| + | | wythoff=<nowiki>3 | 2 4, 2 4 | 2, or 2 2 2 |</nowiki> | ||
| + | | schlaefli=s{[[Square|4,]][[Cube|3]]} | ||
| + | | conway=s[[Cube|d]][[Octahedron|a]][[Tetrahedron|Y3]] | ||
| + | | vlayout=[[Triangle|3]]<sup>4</sup>⋅[[Square|4]] | ||
| + | | vfigure=Irregular [[pentagon]] | ||
| + | }}}} | ||
| - | + | <[#polytope [id 18]]> | |
| - | + | {{Trishapes}} | |
Latest revision as of 11:16, 2 March 2014
Incidence matrix
Dual: pentagonal icositetrahedron
| # | TXID | Va | Ea | Eb | Ec | 4a | 3a | 3b | Type | Name |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Va | = point | ; | |||||||
| 1 | Ea | 2 | = digon | ; | ||||||
| 2 | Eb | 2 | = digon | ; | ||||||
| 3 | Ec | 2 | = digon | ; | ||||||
| 4 | 4a | 4 | 4 | 0 | 0 | = square | ; | |||
| 5 | 3a | 3 | 1 | 1 | 1 | = triangle | ; | |||
| 6 | 3b | 3 | 0 | 0 | 3 | = triangle | ; | |||
| 7 | C1a | 24 | 24 | 12 | 24 | 6 | 24 | 8 | = snub cube | ; |
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 |
