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Create the page "CRF polytopes" on this wiki!

• Polytope
  ... [[element]]s. All elements of a polytope are lower-dimensional polytopes. Polytopes are grouped by their dimension into the ''polygons'', ''polyhedra'', ''poly ...s [[vertex-transitive]] and whose [[facet]]s are lower-dimensional uniform polytopes.
  3 KB (392 words) - 13:09, 15 March 2014
• Main Page
  **Uniform and CRF polytopes: ***[[CRF polychora discovery project]]
  2 KB (214 words) - 13:09, 15 March 2014
• List of convex regular-faced polyhedra
  <[#ontology [kind meta] [cats 3D CRF Polytope]]> {{selfref|See also: [[CRF polychora discovery project]]}}
  34 KB (5,885 words) - 20:54, 2 March 2014
• Dimensional Features Summary
  *There are only five regular polytopes in this dimension. ...ramids as facets, this means that from 5D onwards no n-cube pyramid can be CRF.)
  11 KB (1,862 words) - 20:00, 30 October 2017
• CRF polychora discovery project
  <[#ontology [kind meta] [cats 4D CRF Polytope]]> ... polychora]] as possible, and perhaps as a long-term goal prove that every CRF polychoron has been found.
  9 KB (1,334 words) - 04:05, 9 March 2019
• Segmentotope
  <[#ontology [kind class] [cats CRF Polytope]]> ...ope is denoted by the notation A || B, where A and B are lower-dimensional polytopes. For segmentochora, A and B are usually polyhedra, although one of them can
  31 KB (3,718 words) - 10:04, 15 March 2016
• Ursatope
  ...ing the two. If the resulting edge lengths are equal, the result will be a CRF (convex regular-faced) polytope. In 3D, there is one CRF ursatope: the trigonal ursahedron, which is the same as the [[tridiminished
  9 KB (1,304 words) - 18:21, 17 July 2017
• CRFP4DP/Diminishings
  ...gyrobirotundular ring (see the section on 600-cell bisections below). This CRF is bistratic, as its vertices can be placed on 3 parallel hyperplanes. ...ristics to the [[triangular hebesphenorotunda|J92]] itself, and also has a CRF diminishing.
  15 KB (2,080 words) - 22:36, 27 March 2014
• CRF
  ...imensional polytope is said to be '''c'''onvex, '''r'''egular-'''f'''aced (CRF) if and only if: All regular and uniform polytopes in all dimensions are CRF.
  2 KB (277 words) - 20:54, 4 July 2016
• Non-CRF facets of CRF duals
  The set of '''non-CRF facets of CRF duals''' is currently being studied by [[Keiji]]. A proper name for the set ...al is the [[hexagonal pyrawedge]] which has not yet been seen in any other polytopes. Not chiral.
  4 KB (626 words) - 00:34, 15 March 2016
• Crown jewel
  <[#ontology [kind class] [cats CRF Polytope]]> ...olytope]]s with unique structures that cannot be obtained from the uniform polytopes or other simpler CRFs by simple "cut-and-paste" operations.
  1 KB (185 words) - 14:26, 1 March 2014
• Hopf fibration
  You can spot some of these subsymmetries in various 4D regular polytopes: ...orrespond with the octahedral tiling of the 2-sphere, but there ''is'' a [[CRF polytope]] that does: the [[bixylodiminished hydrochoron]], a curious non-[
  7 KB (1,120 words) - 08:41, 7 March 2014
• D4.9.0
  D4.9.0 can then be further diminished to produce [[CRF polytope]]s containing [[pentagonal orthobicupola]] or [[bilunabirotunda]]
  737 B (99 words) - 14:24, 31 March 2014
• Orbiform
  ==Pyramids of orbiform polytopes== ...tly 1, then a CRF pyramid would be degenerate, having height 0 (though non-CRF pyramids are still possible, but would require edge length > 1).
  1 KB (216 words) - 20:03, 4 July 2016