Non-CRF facets of CRF duals (ConceptTopic, 3)
From Hi.gher. Space
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;[[Rhombocupolawedge]] | ;[[Rhombocupolawedge]] | ||
- | :First discovered in the dual of the [[ | + | :First discovered in the dual of the [[D4.7]] and appeared again in the dual of the [[D4.11]]. Dual is the [[rhombopyrawedge]] which has not yet been seen in any other polytopes. Not chiral. |
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;[[Metabigyrotriangulated cube]] | ;[[Metabigyrotriangulated cube]] | ||
- | :First discovered in the dual of the [[ | + | :First discovered in the dual of the [[D4.7]]. Self-dual and chiral. |
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Revision as of 18:28, 23 March 2014
The set of non-CRF facets of CRF duals is currently being studied by Keiji. A proper name for the set has not yet been thought up. They are reminiscent of the Catalan solids. This page lists them in order of discovery.
- Triangulated triangular prism
- First discovered in the dual of the BXD and appeared again shortly after in the dual of the (4D analog of J37). Self-dual and chiral.
- Hexagonal cupolawedge
- First discovered in the dual of the bilunabirotunda pseudopyramid. Dual is the hexagonal pyrawedge which has not yet been seen in any other polytopes. Not chiral.
- Square cupolawedge
- First discovered in the dual of the triangular hebesphenorotunda pseudopyramid. Dual is the pentagonal cupolawedge which has not yet been seen in any other polytopes. Not chiral.
- Rhombocupolawedge
- First discovered in the dual of the D4.7 and appeared again in the dual of the D4.11. Dual is the rhombopyrawedge which has not yet been seen in any other polytopes. Not chiral.
- Metabigyrotriangulated cube
- First discovered in the dual of the D4.7. Self-dual and chiral.