Pentagonal orthocupolarotunda
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| Pentagonal orthocupolarotunda | |
|---|---|
 |
|
| Type | Johnson J31 - J32 - J33 |
| Faces | 15 triangles 5 squares 7 pentagons |
| Edges | 50 |
| Vertices | 25 |
| Vertex configuration | 10 of 3.5.3.5 10 of 32.4.5 5 of 3.4.5.4 |
| Symmetry group | C5v |
| Dual polyhedron | - |
| 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 like faces. A 36-degree rotation of one of the halves before the joining yields a pentagonal gyrocupolarotunda (J33).
