Hepteractic heptacomb

From Polytope Wiki
Jump to navigation Jump to search
Hepteractic heptacomb
Rank8
TypeRegular
SpaceEuclidean
Notation
Bowers style acronymHepth
Coxeter diagramx4o3o3o3o3o3o4o ()
Schläfli symbol{4,3,3,3,3,3,4}
Elements
ZettaN hepteracts
Exa7N hexeracts
Peta21N penteracts
Tera35N tesseracts
Cells35N cubes
Faces21N squares
Edges7N
VerticesN
Vertex figureHecatonicosoctaexon, edge length 2
Related polytopes
ArmyHepth
RegimentHepth
DualHepteractic heptacomb
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
SymmetryR8
ConvexYes
NatureTame

The hepteractic heptacomb or hepth, also called the hepteractic honeycomb or 7-cubic honeycomb, is the only regular heptacomb or tessellation of 7D Euclidean space. 4 hepteracts join at each peton, and 128 join at each vertex of this honeycomb. It is the 7D hypercubic honeycomb.

Vertex coordinates[edit | edit source]

The vertices of a hepteractic heptacomb of edge length 1 are given by (i, j, k, l, m, n, o), where i, j, k, l, m, n, o are integers.

External links[edit | edit source]