Rotunda (geometry)
From Infogalactic: the planetary knowledge core
| Set of rotundas | |
|---|---|
 (Example: pentagonal rotunda) |
|
| Faces | 1 n-gons 1 2n-gons n pentagons 2n triangles |
| Edges | 7n |
| Vertices | 4n |
| Symmetry group | Cnv, [n], (*nn), order 2n |
| Rotation group | Cn, [n]+, (nn), order n |
| Properties | convex |
In geometry, a rotunda is any member of a family of dihedral-symmetric polyhedra. They are similar to a cupola but instead of alternating squares and triangles, it alternates pentagons and triangles around an axis. The pentagonal rotunda is a Johnson solid.
Other forms can be generated with dihedral symmetry and distorted equilateral pentagons.
See also
References
- Norman W. Johnson, "Convex Solids with Regular Faces", Canadian Journal of Mathematics, 18, 1966, pages 169–200. Contains the original enumeration of the 92 solids and the conjecture that there are no others.
- Lua error in package.lua at line 80: module 'strict' not found. The first proof that there are only 92 Johnson solids.
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