Birotunda Explained

Set of cupolae
Faces:2 -gons
pentagons
triangles
Symmetry:Ortho: order 
Gyro: order 
Rotation Group: order 
Properties:convex

In geometry, a birotunda is any member of a family of dihedral-symmetric polyhedra, formed from two rotunda adjoined through the largest face. They are similar to a bicupola but instead of alternating squares and triangles, it alternates pentagons and triangles around an axis. There are two forms, ortho- and gyro-: an orthobirotunda has one of the two rotundas is placed as the mirror reflection of the other, while in a gyrobirotunda one rotunda is twisted relative to the other.

The pentagonal birotundas can be formed with regular faces, one a Johnson solid, the other a semiregular polyhedron:

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

See also

References