Pentagonal cupola
In geometry, the pentagonal cupola is one of the Johnson solids (J5). It can be obtained as a slice of the rhombicosidodecahedron. The pentagonal cupola consists of 5 equilateral triangles, 5 squares, 1 pentagon, and 1 decagon.
| Pentagonal cupola | |
|---|---|
| Type | Johnson J4 – J5 – J6 |
| Faces | 5 triangles 5 squares 1 pentagon 1 decagon |
| Edges | 25 |
| Vertices | 15 |
| Vertex configuration | 10(3.4.10) 5(3.4.5.4) |
| Symmetry group | C5v, [5], (*55) |
| Rotation group | C5, [5]+, (55) |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
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.
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