Set of rotundas | |
---|---|
(Example: pentagonal rotunda) | |
Faces | 1 n-gon 1 2n-gon n pentagons 2n triangles |
Edges | 7n |
Vertices | 4n |
Symmetry group | C_{nv}, [n], (*nn), order 2n |
Rotation group | C_{n}, [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.^{[example needed]}
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 |