Gyroelongated pentagonal rotunda

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Gyroelongated pentagonal rotunda
Gyroelongated pentagonal rotunda.png
Type Johnson
J24 - J25 - J26
Faces 4x5+10 triangles
1+5 pentagons
1 decagon
Edges 65
Vertices 30
Vertex configuration 2.5(3.5.3.5)
2.5(33.10)
10(34.5)
Symmetry group C5v
Dual polyhedron -
Properties convex
Net
Johnson solid 25 net.png

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.[1]

Dual polyhedron[edit]

The dual of the gyroelongated pentagonal rotunda has 30 faces: 10 pentagons, 10 rhombi, and 10 quadrilaterals.

Dual gyroelongated pentagonal rotunda Net of dual
Dual gyroelongated pentagonal rotunda.png Dual gyroelongated pentagonal rotunda net.png

External links[edit]

  1. ^ Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603 .