Gyroelongated square bipyramid

From Polytope Wiki
Jump to navigation Jump to search
Gyroelongated square bipyramid
Rank3
TypeCRF
Notation
Bowers style acronymGyesqidpy
Coxeter diagramoxoo4ooxo&#xt
Elements
Faces8+8 triangles
Edges8+8+8
Vertices2+8
Vertex figures2 squares, edge length 1
 8 pentagons, edge length 1
Measures (edge length 1)
Volume
Dihedral angles3–3 join:
 3–3 antiprismatic:
 3–3 pyramidal:
Central density1
Number of external pieces16
Level of complexity6
Related polytopes
ArmyGyesqidpy
RegimentGyesqidpy
DualOrder-4 truncated tetragonal trapezohedron
ConjugateGyroelongated square bipyramid
Abstract & topological properties
Flag count96
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry(I2(8)×A1)/2, order 16
ConvexYes
NatureTame

The gyroelongated square bipyramid is one of the 92 Johnson solids (J17). It consists of 8+8 triangles as faces. It can be constructed by inserting a square antiprism between the two pyramidal halves of the regular octahedron, seen as a square bipyramid.

Vertex coordinates[edit | edit source]

A gyroelongated square bipyramid of edge length 1 has the following vertices:

External links[edit | edit source]