List of Uniform Polyhedra By Spherical Triangle - Key

Key

Image
Name
Bowers pet name
V Number of vertices,E Number of edges,F Number of faces=Face configuration
?=Euler characteristic, group=Symmetry group
Wythoff symbol - Vertex figure
W - Wenninger number, U - Uniform number, K- Kalido number, C -Coxeter number
alternative name
second alternative name

The vertex figure can be discovered by considering the Wythoff symbol:

  • p|q r - 2p edges, alternating q-gons and r-gons. Vertex figure (q.r)p.
  • p|q 2 - p edges, q-gons (here r=2 so the r-gons are degenerate lines).
  • 2|q r - 4 edges, alternating q-gons and r-gons
  • q r|p - 4 edges, 2p-gons, q-gons, 2p-gons r-gons, Vertex figure 2p.q.2p.r.
  • q 2|p - 3 edges, 2p-gons, q-gons, 2p-gons, Vertex figure 2p.q.2p.
  • p q r|- 3 edges, 2p-gons, 2q-gons, 2r-gons, vertex figure 2p.2q.2r

Read more about this topic:  List Of Uniform Polyhedra By Spherical Triangle

Famous quotes containing the word key:

    “It so happened that, a few weeks later, “Old Ernie” [Ernest Hemingway] himself was using my room in New York as a hide-out from literary columnists and reporters during one of his rare stopover visits between Africa and Key West. On such all-too-rare occasions he lends an air of virility to my dainty apartment which I miss sorely after he has gone and all the furniture has been repaired.”
    —Robert Benchley (1889–1945)

    “Woe unto you, lawyers! for ye have taken away the key of knowledge: ye entered not in yourselves, and them that were entering in ye hindered.”
    —Bible: New Testament Jesus, in Luke 11:52.

    “The word “forbearance” is the key to a happy home.”
    —Chinese proverb.