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a rectified 10-orthoplex is a convex uniform 10-polytope, being a rectification of the regular 10-orthoplex. There are 10 rectifications of the 10-orthoplex...

polytope. rectified pentacross rectified triacontiditeron (32-faceted 5-polytope) There are two Coxeter groups associated with the rectified pentacross...

constructed from this honeycomb. or rectified heptacross rectified hecatonicosoctaexon (Acronym rez) (Jonathan Bowers) - rectified 128-faceted polyexon There are...

the 6-orthoplex. The rectified 6-orthoplex is the vertex figure for the demihexeractic honeycomb. or rectified hexacross rectified hexacontitetrapeton...

simple Lie groups. The rectified 8-orthoplex is the vertex figure for the demiocteractic honeycomb. or rectified octacross rectified diacosipentacontahexazetton...

9-polytopes with BC9 symmetry. The rectified 9-orthoplex is the vertex figure for the demienneractic honeycomb. or rectified enneacross (Acronym riv) (Jonathan...

facets: 72 rectified 5-simplices, and 27 rectified 5-orthoplexes and 27 5-demicubes . Its vertex figure is a rectified 5-cell prism. Rectified...

orthoplexes. The rectified 421 can be seen as a rectification of the 421 polytope, creating new vertices on the center of edges of the 421. Rectified...

all simplexes and orthoplexes (tetrahedrons and octahedrons in the case of the rectified 5-cell). The Coxeter symbol for the rectified 5-cell is 021. Conway...

3-sphere tiling, a tetrahedral hosohedron.) Rectified hecatonicosihexa-pentacosiheptacontihexa-exon as a rectified 126-576 facetted polyexon (acronym ranq)...

orthoplex facets. The vertex figure for honeycombs of this family are rectified orthoplexes. These are also named as hδn for an (n-1)-dimensional honeycomb...

) The family starts uniquely as 6-polytopes. The triangular prism and rectified 5-cell are included at the beginning for completeness. The demipenteract...

facets of these polytopes are regular polytopes, namely simplexes and orthoplexes. The 261 honeycomb is composed of 251 9-honeycomb and 9-simplex facets...

a part of an infinite family of polytopes, called cross-polytopes or orthoplexes. The dual polytope is the 7-hypercube, or hepteract. Heptacross, derived...

5-orthoplexes Generalized 5-orthoplexes have a regular construction as and quasiregular form as . All elements are simplexes. Real {3,3,3,4}, , with 10...

regular polytope facets, containing all simplexes and orthoplexes (5-simplices and 5-orthoplexes in the case of the 5-demicube). In Coxeter's notation...