Generalized octahedron

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β p
3
 
Rank3
SpaceComplex
Notation
Coxeter diagram
Schläfli symbol2{3}2{4}p
Elements
Facesp 3  triangles
Edges2p 2 
Vertices3p 
Vertex figureγ p
2
 
Related polytopes
DualGeneralized cube
Van Oss polygonβ p
2
 
Abstract & topological properties
Flag count6p 3 
SkeletonK p,p,p 
Properties
Symmetry2[3]2[4]p, order 6p 3 

The generalized octahedra are a family of regular complex polyhedra that generalize the octahedron.

The generalized octahedron β 2
3
 
has real valued coordinates and is the octahedron.

The generalized octahedra all have real triangular faces making them complex polytope complexes.

Bibliography[edit | edit source]

  • Coxeter, Donald (1974). Regular complex polytopes. Cambridge University Press. ISBN 0-521-39490-2.