Cubic truncate (EntityTopic, 11)
From Hi.gher. Space
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| ssc=[xyz]X3 | | ssc=[xyz]X3 | ||
| ssc2=Ko3 | | ssc2=Ko3 | ||
| - | | extra={{STS Uniform polytope | + | | extra={{STS Polytope |
| + | | flayout={{FLD|a3|line|a4|end}} | ||
| + | | dual=[[Triakis octahedron]] | ||
| + | }}{{STS Uniform polytope | ||
| schlaefli=t{[[Square|4,]][[Cube|3]]} | | schlaefli=t{[[Square|4,]][[Cube|3]]} | ||
| conway=t[[Cube|d]][[Octahedron|a]][[Tetrahedron|Y3]] | | conway=t[[Cube|d]][[Octahedron|a]][[Tetrahedron|Y3]] | ||
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| kana=ｷｭﾄ | | kana=ｷｭﾄ | ||
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Revision as of 11:07, 1 November 2009
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 |
