Samiksha Jaiswal (Editor)

Gyroelongated pentagonal rotunda

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Edges
  
65

Symmetry group
  
C5v

Vertices
  
30

Gyroelongated pentagonal rotunda

Type
  
Johnson J24 - J25 - J26

Faces
  
4.5+10 triangles 1+5 pentagons 1 decagon

Vertex configuration
  
2.5(3.5.3.5) 2.5(3.10) 10(3.5)

In geometry, the gyroelongated pentagonal rotunda is one of the Johnson solids (J25). As the name suggests, it can be constructed by gyroelongating a pentagonal rotunda (J6) by attaching a decagonal antiprism to its base. It can also be seen as a gyroelongated pentagonal birotunda (J48) with one pentagonal rotunda 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 pentagonal rotunda has 30 faces: 10 pentagons, 10 rhombi, and 10 quadrilaterals.

References

Gyroelongated pentagonal rotunda Wikipedia