Dodecahedral truncate (EntityTopic, 11)
From Hi.gher. Space
(Difference between revisions)
(polytope explorer integration) |
m (move Bowers acronym from Template:STS Uniform polytope as it is now being used for non-uniforms too) |
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| flayout={{FLD|a3|i|a5|er}} | | flayout={{FLD|a3|i|a5|er}} | ||
| dual=[[Triakis icosahedron]] | | dual=[[Triakis icosahedron]] | ||
| + | | bowers=Ti | ||
}}{{STS Uniform polytope | }}{{STS Uniform polytope | ||
| schlaefli=t{[[Pentagon|5,]]3} | | schlaefli=t{[[Pentagon|5,]]3} | ||
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| vfigure=Isosceles [[triangle]] | | vfigure=Isosceles [[triangle]] | ||
| vlayout=[[Triangle|3]]⋅[[Decagon|10]]<sup>2</sup> | | vlayout=[[Triangle|3]]⋅[[Decagon|10]]<sup>2</sup> | ||
| - | |||
}}}} | }}}} | ||
Revision as of 10:29, 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 |
