Cubic truncate (EntityTopic, 11)

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The '''cubic truncate''' can be seen as a 3-dimensional analog of the [[octagon]]. This analogy is especially noticeable when studying [[powertope]]s: the octagon produces [[:Category:Octagoltriates|octagoltriates]] and the cubic truncate produces [[:Category:Cubic truncatriates|cubic truncatriates]].
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The '''cubic truncate''' ('''COR''') is a uniform polyhedron which can be seen as a 3-dimensional analog of the [[octagon]]. The other possible analog is the [[cuboctahedral rectate]] (''COR''). While the CT has the octagons on the surface of the shape, the COR has them embedded inside it. Thus when one is concerned with [[powertopes]], the COR comprises three "long and thin" cuboids whereas the CT comprises three "wide and flat" cuboids.
{{Trishapes}}
{{Trishapes}}
[[Category:Uniform polyhedra]]
[[Category:Uniform polyhedra]]

Revision as of 21:30, 4 December 2010


The cubic truncate (COR) is a uniform polyhedron which can be seen as a 3-dimensional analog of the octagon. The other possible analog is the cuboctahedral rectate (COR). While the CT has the octagons on the surface of the shape, the COR has them embedded inside it. Thus when one is concerned with powertopes, the COR comprises three "long and thin" cuboids whereas the CT comprises three "wide and flat" cuboids.


Notable Trishapes
Regular: tetrahedroncubeoctahedrondodecahedronicosahedron
Direct truncates: tetrahedral truncatecubic truncateoctahedral truncatedodecahedral truncateicosahedral truncate
Mesotruncates: stauromesohedronstauroperihedronstauropantohedronrhodomesohedronrhodoperihedronrhodopantohedron
Snubs: snub staurohedronsnub rhodohedron
Curved: spheretoruscylinderconefrustumcrind