Cannabaceae

Set of rotundas
Faces1 n-gon
1 2n-gon
n pentagons
2n triangles
Edges7n
Vertices4n
Symmetry groupCnv, [n], (*nn), order 2n
Rotation groupCn, [n]+, (nn), order n
Propertiesconvex

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]

Examples[edit]

Rotundas
3 4 5 6 7 8

triangular rotunda

square rotunda

pentagonal rotunda

hexagonal rotunda

heptagonal rotunda

octagonal rotunda

Star-rotunda[edit]

Star-rotundas
5 7 9 11

Pentagrammic rotunda

Heptagrammic rotunda

Enneagrammic rotunda

Hendecagrammic rotunda

See also[edit]

References[edit]

  • 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.
  • Victor A. Zalgaller (1969). Convex Polyhedra with Regular Faces. Consultants Bureau. No ISBN. The first proof that there are only 92 Johnson solids.

One thought on “Cannabaceae

  1. Well, that’s interesting to know that Psilotum nudum are known as whisk ferns. Psilotum nudum is the commoner species of the two. While the P. flaccidum is a rare species and is found in the tropical islands. Both the species are usually epiphytic in habit and grow upon tree ferns. These species may also be terrestrial and grow in humus or in the crevices of the rocks.
    View the detailed Guide of Psilotum nudum: Detailed Study Of Psilotum Nudum (Whisk Fern), Classification, Anatomy, Reproduction

Leave a Reply