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Elongated pentagonal rotunda information


Elongated pentagonal rotunda
TypeJohnson
J20 - J21 - J22
Faces2x5 triangles
2x5 squares
1+5 pentagons
1 decagon
Edges55
Vertices30
Vertex configuration10(42.10)
10(3.42.5)
2.5(3.5.3.5)
Symmetry groupC5v
Dual polyhedron-
Propertiesconvex
Net

In geometry, the elongated pentagonal rotunda is one of the Johnson solids (J21). As the name suggests, it can be constructed by elongating a pentagonal rotunda (J6) by attaching a decagonal prism to its base. It can also be seen as an elongated pentagonal orthobirotunda (J42) with one pentagonal rotunda removed.

A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (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]

  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.

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