Cubic truncate (EntityTopic, 11)
From Hi.gher. Space
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| extra={{STS Uniform polytope | | extra={{STS Uniform polytope | ||
| schlaefli=t{[[Square|4,]][[Cube|3]]} | | schlaefli=t{[[Square|4,]][[Cube|3]]} | ||
+ | | conway=t[[Cube|d]][[Octahedron|a]][[Tetrahedron|Y3]] | ||
| vfigure=Isosceles [[triangle]] | | vfigure=Isosceles [[triangle]] | ||
| vlayout=[[Triangle|3]]∙[[Octahedron|8]]<sup>2</sup> | | vlayout=[[Triangle|3]]∙[[Octahedron|8]]<sup>2</sup> |
Revision as of 10:44, 7 November 2008
The cubic truncate can be seen as a 3-dimensional analog of the octagon. This analogy is especially noticeable when studying powertopes: the octagon produces octagoltriates and the cubic truncate produces cubic truncatriates.
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 |