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constructed from this honeycomb. or rectified heptacross rectified hecatonicosaoctaexon (Acronym: rez) (Jonathan Bowers) - rectified 128-faceted polyexon There
Rectified_7-orthoplexes
as a first rectification of a 5-dimensional cross polytope. Rectified pentacross Rectified triacontaditeron (32-faceted 5-polytope) Acronym: rat (Jonathan
Rectified_5-orthoplexes
9-polytopes with BC9 symmetry. The rectified 9-orthoplex is the vertex figure for the demienneractic honeycomb. or Rectified enneacross (Acronym: riv) (Jonathan
Rectified_9-orthoplexes
simple Lie groups. The rectified 8-orthoplex is the vertex figure for the demiocteractic honeycomb. or Rectified octacross Rectified diacosipentacontahexazetton
Rectified_8-orthoplexes
the 6-orthoplex. The rectified 6-orthoplex is the vertex figure for the demihexeractic honeycomb. or Rectified hexacross Rectified hexacontatetrapeton
Rectified_6-orthoplexes
ten-dimensional geometry, a rectified 10-orthoplex is a 10-polytope, being a rectification of the regular 10-orthoplex. The rectified 10-orthoplex is the vertex
Rectified_10-orthoplexes
Group of irregular uniform polytopes
and all rectified (single-ring) Coxeter–Dynkin diagrams. The family of n-simplices contain Gosset–Elte figures of the form 0ij as all rectified forms of
Gosset–Elte_figures
Polytope in 8-dimensional geometry
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
4_21_polytope
Uniform 7-dimensional polytope
3-sphere tiling, a tetrahedral hosohedron.) Rectified hecatonicosihexa-pentacosiheptacontahexa-exon as a rectified 126-576 facetted polyexon (acronym: ranq)
3_21_polytope
Uniform 6-polytope
facets: 72 rectified 5-simplices, and 27 rectified 5-orthoplexes and 27 5-demicubes . Its vertex figure is a rectified 5-cell prism. Rectified
2_21_polytope
Uniform polychoron
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
Rectified_5-cell
Regular 7- polytope
infinite family of polytopes, called cross-polytopes or orthoplexes. The dual polytope is the 7-hypercube, or hepteract. Heptacross, derived from combining
7-orthoplex
Geometric object
) The family starts uniquely as 6-polytopes. The triangular prism and rectified 5-cell are included at the beginning for completeness. The demipenteract
Uniform_k_21_polytope
Uniform 6-dimensional polytope
order 5040 (7 factorial). The coordinates of uniform 6-polytopes with 6-simplex symmetry can be generated as permutations of simple integers in 7-space, all
Uniform_6-polytope
Regular 5-polytope
regular polytope facets, containing all simplexes and orthoplexes (5-simplices and 5-orthoplexes in the case of the 5-demicube). In Coxeter's notation
5-demicube
facets of these polytopes are regular polytopes, namely simplexes and orthoplexes. The 261 honeycomb is composed of 251 9-honeycomb and 9-simplex facets
E9_honeycomb
Family of regular tessellations in geometry
are rectified orthoplexes. In the four-dimensional case, the demihypercube and the orthoplex are the same (both are the 16-cell), and the rectified orthoplex
Alternated hypercubic honeycomb
Alternated_hypercubic_honeycomb
Prism with a 3-sided base
containing all regular polytope facets, containing all simplexes and orthoplexes (equilateral triangles and squares in the case of the triangular prism)
Triangular_prism
Generalization of a polytope in real space
2160 3{3}3 faces, and 240 3{3}3{3}3 cells Generalized 4-orthoplexes Generalized 4-orthoplexes have a regular construction as and quasiregular form as
Complex_polytope
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