Rotunda (geometry)

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Set of rotundas
Pentagonal rotunda.png
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.

Contents

Other forms can be generated with dihedral symmetry and distorted equilateral pentagons.

Examples

Rotundas
345678
Green triangular rotunda.svg
triangular rotunda
Green square rotunda.svg
square rotunda
Green pentagonal rotunda.svg
pentagonal rotunda
Green hexagonal rotunda.svg
hexagonal rotunda
Green heptagonal rotunda.svg
heptagonal rotunda
Green octagonal rotunda.svg
octagonal rotunda

Star-rotunda

Star-rotundas
57911
Pentagrammic rotunda.svg
Pentagrammic rotunda
Heptagrammic rotunda.svg
Heptagrammic rotunda
Enneagrammic rotunda.svg
Enneagrammic rotunda
Hendecagrammic rotunda.svg
Hendecagrammic rotunda

See also

References