Pentagonal orthocupolarotunda
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| Pentagonal orthocupolarotunda | |
|---|---|
 |
|
| Type | Johnson J31 - J32 - J33 |
| Faces | 3.5 triangles 5 squares 2+5 pentagons |
| Edges | 50 |
| Vertices | 25 |
| Vertex configuration | 10(3.4.3.5) 5(3.4.5.4) 2.5(3.5.3.5) |
| Symmetry group | C5v |
| Dual | - |
| Properties | convex |
In geometry, the pentagonal orthocupolarotunda is one of the Johnson solids (J32). As the name suggests, it can be constructed by joining a pentagonal cupola (J5) and a pentagonal rotunda (J6) along their decagonal bases, matching the pentagonal faces. A 36-degree rotation of one of the halves before the joining yields a pentagonal gyrocupolarotunda (J33).
