Pyrorectichoron (EntityTopic, 11)
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| vlayout=([[Triangle|3]]<sup>[[Tetrahedron|3]]</sup>)<sup>2</sup>⋅([[Triangle|3]]<sup>[[Octahedron|4]]</sup>)<sup>3</sup> | | vlayout=([[Triangle|3]]<sup>[[Tetrahedron|3]]</sup>)<sup>2</sup>⋅([[Triangle|3]]<sup>[[Octahedron|4]]</sup>)<sup>3</sup> | ||
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| + | The '''pyrorectichoron''' is a uniform polychoron in the pyrotope family. Its cells are 5 [[tetrahedra]] and 5 [[octahedra]]. | ||
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| + | Deleting any vertex from the pyrorectichoron forms the [[trigonal biantiprismatic ring]], or K4.6, a [[segmentochoron]] which can be constructed as trigonal prism || gyrated triangle. Deleting another vertex - specifically, one of the three from the gyrated triangle - will form the [[digonal gyrobicupolic ring]], or K4.8. | ||
{{Tetrashapes}} | {{Tetrashapes}} | ||
Revision as of 13:03, 13 March 2016
The pyrorectichoron is a uniform polychoron in the pyrotope family. Its cells are 5 tetrahedra and 5 octahedra.
Deleting any vertex from the pyrorectichoron forms the trigonal biantiprismatic ring, or K4.6, a segmentochoron which can be constructed as trigonal prism || gyrated triangle. Deleting another vertex - specifically, one of the three from the gyrated triangle - will form the digonal gyrobicupolic ring, or K4.8.
| Notable Tetrashapes | |
| Regular: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
| Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
| Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
| Torii: | tiger • torisphere • spheritorus • torinder • ditorus |
