Pentagonal orthobicupola
| Pentagonal orthobicupola | |
|---|---|
| Type | Johnson J29 - J30 - J31 |
| Faces | 10 triangles 10 squares 2 pentagons |
| Edges | 40 |
| Vertices | 20 |
| Vertex configuration | 10(32.42) 10(3.4.5.4) |
| Symmetry group | D5h |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
In geometry, the pentagonal orthobicupola is one of the Johnson solids (J30). As the name suggests, it can be constructed by joining two pentagonal cupolae (J5) along their decagonal bases, matching like faces. A 36-degree rotation of one cupola before the joining yields a pentagonal gyrobicupola (J31).
The pentagonal orthobicupola is the third in an infinite set of orthobicupolae.
The 92 Johnson solids were named and described by Norman Johnson in 1966.
Formulae
The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[1]
References
- ^ Stephen Wolfram, "Pentagonal orthobicupola" from Wolfram Alpha. Retrieved July 23, 2010.
External links
- Weisstein, Eric W., "Johnson solid" from MathWorld.
- Weisstein, Eric W., "Pentagonal orthobicupola" from MathWorld.