β  3,3

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β 3
3
 
Rank3
SpaceComplex
Notation
Coxeter diagram
Schläfli symbol2{3}2{4}3
Elements
Faces27 triangles
Edges18
Vertices9
Vertex figureγ 3
2
 
Related polytopes
DualGeneralized cube
Van Oss polygonβ 3
2
 
Abstract & topological properties
Flag count162
SkeletonK 3,3,3 
Properties
Symmetry2[3]2[4]3, order 162

β 3
3
 
is a regular complex polyhedron. It is the simplest generalized octahedron other than the real octahedron.

Bibliography[edit | edit source]

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