Heptadiminished birectified heptapeton

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Heptadiminished birectified heptapeton
Rank6
TypeScaliform
Notation
Bowers style acronymLadbril
Elements
Peta7 tridiminished rectified hexatera, 7 tetradiminished dodecatera, 7 triangular-tetrahedral duoprisms
Tera21 tetrahedral prisms, 28 triangular duoprisms, 21+42 bidiminished rectified pentachora
Cells7+21 tetrahedra, 84 square pyramids, 42+84 triangular prisms
Faces28+28+84 triangles, 21+84 squares
Edges42+84
Vertices28
Measures (edge length 1)
Circumradius
Height
Central density1
Number of external pieces21
Related polytopes
ArmyLadbril
RegimentLadbril
ConjugateNone
Abstract & topological properties
Flag count48384
Euler characteristic0
OrientableYes
Properties
Symmetryorder 168
ConvexYes
NatureTame

The heptadiminished birectified heptapeton, or ladbril, is a convex scaliform 6-polytope. It consists of 7 tridiminished rectified hexatera, 7 tetradiminished dodecatera, and 7 triangular-tetrahedral duoprisms. 3 tridiminished rectified hexatera, 4 tetradiminished dodecatera, and 3 triangular-tetrahedral duoprisms meet at each vertex.

It is also a convex segmentopeton, as a tridiminished rectified hexateron atop tetradiminished dodecateron.

Vertex coordinates[edit | edit source]

The vertices of a heptadiminished birectified heptapeton of edge length 1 can be given in seven dimensions as cyclic permutations of:

  • ,
  • ,
  • ,
  • .

External links[edit | edit source]