Non-CRF facets of CRF duals (ConceptTopic, 3)

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Revision as of 01:18, 26 February 2014 by Hayate (Talk | contribs)

The sequence 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.
(image)
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.
(image) (image)
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.
(image) (image)
Rhombocupolawedge
First discovered in the dual of the CJ4.7. Dual is the rhombopyrawedge which has not yet been seen in any other polytopes. Not chiral.
(image) (image)
Metabigyrotriangulated cube
First discovered in the dual of the CJ4.7. Self-dual and chiral.
(image)

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