Regular heptapeton (6-simplex)
Orthogonal projection inside Petrie polygon
Type	Regular 6-polytope
Family	simplex
5-faces	7 {3,3,3,3}
4-faces	21 {3,3,3}
Cells	35 {3,3}
Faces	35 {3}
Edges	21
Vertices	7
Vertex figure	{3,3,3,3}
Petrie polygon	heptagon
Schläfli symbol	{3,3,3,3,3}
Coxeter-Dynkin diagram
Coxeter group	A6 [3,3,3,3,3]
Dual	Self-dual
Properties	convex

A heptapeton, or hepta-6-tope is a 6-simplex, a self-dual regular 6-polytope with 7 vertices, 21 edges, 35 triangle faces, 35 tetrahedral cells, 21 5-cell 4-faces, and 7 5-simplex 5-faces.

The name heptapeton is derived from hepta for seven facets in Greek and -peta for having five-dimensional facets, and -on.

See also

• Other regular 6-polytopes:
  • Hexeract - {4,3,3,3,3,3}
  • Hexacross - {3,3,3,3,3,4}
• Others in the simplex family
  • Tetrahedron (3-simplex)- {3,3}
  • Pentachoron or 5-cell (4-simplex) - {3,3,3}
  • 6-simplex - {3,3,3,3,3}
    • Omnitruncated 6-simplex - t_0,1,2,3,4,5{3⁵}
  • 5-simplex - {3,3,3,3}
  • 6-simplex - {3,3,3,3,3}
  • 7-simplex - {3,3,3,3,3,3}
  • 8-simplex - {3,3,3,3,3,3,3}
  • 9-simplex - {3,3,3,3,3,3,3,3}
  • 10-simplex - {3,3,3,3,3,3,3,3,3}

External links

• Polytopes of Various Dimensions
• Multi-dimensional Glossary