- Formulae
- Dual polyhedron
- References
- External links
|image=pentagonal_rotunda.png
|type=Johnson
J5 - J6 - J7
|faces=10 triangles
1+5 pentagons
1 decagon
|edges=35
|vertices=20
|symmetry=C5v
|rotation_group=C5, [5]+, (55)
|vertex_config=2.5(3.5.3.5)
10(3.5.10)
|dual=-
|properties=convex
|net=Pentagonal Rotunda Net.svg
}}
In geometry, the pentagonal rotunda is one of the Johnson solids (J6). It can be seen as half an icosidodecahedron.
{{Johnson solid}}Formulae
The following formulae for volume, surface area, circumradius and height can be used if all faces are regular, with edge length a:[1]
Dual polyhedron
The dual of the pentagonal rotunda has 20 faces: 10 triangular, 5 rhombic, and 5 kites.
| Dual pentagonal rotunda | Net of dual |
|---|---|
References
1. ^Stephen Wolfram, "Pentagonal Rotunda" from Wolfram Alpha. Retrieved July 21, 2010.
External links
- {{mathworld2 | urlname2 = JohnsonSolid | title2 = Johnson solid| urlname =PentagonalRotunda| title =Pentagonal rotunda}}
1 : Johnson solids
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