Square cubic truncatriate (EntityTopic, 11)
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The '''square cubic truncatriate''' is a [[powertope]] formed by taking the [[cubic truncate]] of the [[square]]. It is therefore the [[convex hull]] of three [[irregular]] [[hexeract]]s, each being the [[trioprism]] of squares of side 1, 1+√2 and 1+√2, oriented with the small squares of each trioprism in unique axes. | The '''square cubic truncatriate''' is a [[powertope]] formed by taking the [[cubic truncate]] of the [[square]]. It is therefore the [[convex hull]] of three [[irregular]] [[hexeract]]s, each being the [[trioprism]] of squares of side 1, 1+√2 and 1+√2, oriented with the small squares of each trioprism in unique axes. | ||
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| + | Compare with [[square cuboctahedral rectatriate]] (''SCOR''), the powertope formed by taking the [[cuboctahedral rectate]] of the [[square]]. The hexeracts that define the SCOR's vertices are trioprisms of squares of side 1, 1 and 1+√2, oriented with the large squares of each trioprism in unique axes. | ||
{{Hexashapes}} | {{Hexashapes}} | ||
[[Category:Uniform cubic truncatriapeta]] | [[Category:Uniform cubic truncatriapeta]] | ||
Revision as of 21:40, 4 December 2010
The square cubic truncatriate is a powertope formed by taking the cubic truncate of the square. It is therefore the convex hull of three irregular hexeracts, each being the trioprism of squares of side 1, 1+√2 and 1+√2, oriented with the small squares of each trioprism in unique axes.
Compare with square cuboctahedral rectatriate (SCOR), the powertope formed by taking the cuboctahedral rectate of the square. The hexeracts that define the SCOR's vertices are trioprisms of squares of side 1, 1 and 1+√2, oriented with the large squares of each trioprism in unique axes.
| Notable Hexashapes | |
| pyropeton • aeropeton • geopeton • square cubic truncatriate | |
