| Set of rotundas | |
|---|---|
| Example: pentagonal rotunda | |
| Faces | 1 n-gon 1 2n-gon 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 cyclic-symmetric polyhedra. They are similar to a cupola but, instead of alternating squares and triangles, they alternate 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.
| 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|
| triangular rotunda | square rotunda | pentagonal rotunda | hexagonal rotunda | heptagonal rotunda | octagonal rotunda |
| 5 | 7 | 9 | 11 |
|---|---|---|---|
| Pentagrammic rotunda | Heptagrammic rotunda | Enneagrammic rotunda | Hendecagrammic rotunda |