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

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;[[Triangulated triangular prism]]
;[[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.
: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.
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:<[#embed [hash KANNJNWXZK01GRRZNPD5M6VHMQ]]>
;[[Hexagonal cupolawedge]]
;[[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.
: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.
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:<[#embed [hash MDQEEHDGNAYMWKAPQHDQJMG555]]> <[#embed [hash X0WFTDFDXVZDGTFY8K7JMGSJZ9]]>
;[[Square cupolawedge]]
;[[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.
: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.
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:<[#embed [hash NMPDRSK10VNMEVGNSFETT6QJQ4]]> <[#embed [hash F753M7PD4FTV2H4ZXG88EW229H]]>
;[[Rhombocupolawedge]]
;[[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.
: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.
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:<[#embed [hash DSZETFT3TKTBG6HXKZQGAPEY3M]]> <[#embed [hash MVPMW7ASJP59RS9N114AMZ80QX]]>
;[[Metabigyrotriangulated cube]]
;[[Metabigyrotriangulated cube]]
:First discovered in the dual of the [[CJ4.7]]. Self-dual and chiral.
:First discovered in the dual of the [[CJ4.7]]. Self-dual and chiral.
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:<[#embed [hash NE7GGHKG7YKNYN5GE1CKW92GMM]]>

Revision as of 01:18, 26 February 2014

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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