Puneet Varma (Editor)

Gyroelongated square cupola

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Edges
  
44

Vertex configuration
  
4(3.4)2.4(3.8)8(3.4)

Vertices
  
20

Symmetry group
  
C4v

Gyroelongated square cupola

Type
  
JohnsonJ22 - J23 - J24

Faces
  
3.4+8 triangles1+4 squares1 octagon

In geometry, the gyroelongated square cupola is one of the Johnson solids (J23). As the name suggests, it can be constructed by gyroelongating a square cupola (J4) by attaching an octagonal antiprism to its base. It can also be seen as a gyroelongated square bicupola (J45) with one square bicupola removed.

A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (that is, they are not Platonic solids, Archimedean solids, prisms or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.

Dual polyhedron

The dual of the gyroelongated square cupola has 25 faces: 8 kites, 4 rhombi, and 8 quadrilaterals.

References

Gyroelongated square cupola Wikipedia


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