Gyroelongated square pyramid

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Gyroelongated square pyramid
Rank3
TypeCRF
Notation
Bowers style acronymGyesp
Coxeter diagramoxo4oox&#xt
Elements
Faces4+4+4 triangles, 1 square
Edges4+4+4+8
Vertices1+4+4
Vertex figures1 square, edge length 1
 4 pentagons, edge length 1
 4 trapezoids, edge lengths 1, 1, 1, 2
Measures (edge length 1)
Volume
Dihedral angles3–3 join:
 3–3 antiprismatic:
 3–3 pyramidal:
 3–4:
Central density1
Number of external pieces13
Level of complexity10
Related polytopes
ArmyGyesp
RegimentGyesp
DualOrder-4 monotruncated tetragonal trapezohedron
ConjugateGyroelongated square pyramid
Abstract & topological properties
Flag count80
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryB2×I, order 8
ConvexYes
NatureTame

The gyroelongated square pyramid is one of the 92 Johnson solids (J10). It consists of 4+4+4 triangles and 1 square. It can be constructed by attaching a square antiprism to the base of the square pyramid.

If a second pyramid is attached to the other base of the square antiprism, the result is the gyroelongated square bipyramid.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]