Dodecahedral truncate (EntityTopic, 11)
From Hi.gher. Space
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- | {{Shape| | + | <[#ontology [kind topic] [cats 3D Uniform Polytope]]> |
+ | {{STS Shape | ||
+ | | image=<[#embed [hash 6SYAGTYX8Y54PG89RD7DMZJ1AY] [width 180]]> | ||
+ | | dim=3 | ||
+ | | elements=32, 90, 60 | ||
+ | | sym=[[Rhodohedral symmetry|I<sub>h</sub>, H<sub>3</sub>, [5,3], (*532)]] | ||
+ | | genus=0 | ||
+ | | ssc={G5<sup>3</sup>}X3 | ||
+ | | ssc2=Ki3 | ||
+ | | extra={{STS Polytope | ||
+ | | flayout={{FLD|a3|i|a5|er}} | ||
+ | | dual=[[Triakis icosahedron]] | ||
+ | | bowers=Ti | ||
+ | }}{{STS Uniform polytope | ||
+ | | schlaefli=t{[[Pentagon|5,]]3} | ||
+ | | conway=t[[Dodecahedron|d]][[Icosahedron|s]][[Tetrahedron|Y3]] | ||
+ | | vfigure=Isosceles [[triangle]] | ||
+ | | vlayout=[[Triangle|3]]⋅[[Decagon|10]]<sup>2</sup> | ||
+ | }}}} | ||
- | + | <[#polytope [id 22]]> | |
- | + | {{Trishapes}} |
Latest revision as of 11:29, 2 March 2014
Incidence matrix
Dual: triakis icosahedron
# | TXID | Va | Ea | Eb | 10a | 3a | Type | Name |
---|---|---|---|---|---|---|---|---|
0 | Va | = point | ; | |||||
1 | Ea | 2 | = digon | ; | ||||
2 | Eb | 2 | = digon | ; | ||||
3 | 10a | 10 | 5 | 5 | = decagon | ; | ||
4 | 3a | 3 | 0 | 3 | = triangle | ; | ||
5 | C1a | 60 | 30 | 60 | 12 | 20 | = truncated 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 |