Pyrorectichoron (EntityTopic, 11)
From Hi.gher. Space
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The '''pyrorectichoron''' is a uniform polychoron in the pyrotope family. Its cells are 5 [[tetrahedra]] and 5 [[octahedra]]. | 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, | + | The pyrorectichoron can be constructed as tetrahedron || octahedron, meaning it's also a [[segmentochoron]], K4.5. Deleting any vertex from the pyrorectichoron forms the [[trigonal biantiprismatic ring]], or K4.6, 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 13:06, 13 March 2016
The pyrorectichoron is a uniform polychoron in the pyrotope family. Its cells are 5 tetrahedra and 5 octahedra.
The pyrorectichoron can be constructed as tetrahedron || octahedron, meaning it's also a segmentochoron, K4.5. Deleting any vertex from the pyrorectichoron forms the trigonal biantiprismatic ring, or K4.6, 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 |
