Difference between revisions of "Polyhedron"

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*The icosahedron ("icosa-" meaning "twenty")
 
*The icosahedron ("icosa-" meaning "twenty")
  
Role-playing games often use dice in the shape of octohedrons, dodecahedrons, and icosahedrons, as well as traditional cubical dice. Tetrahedrons cannot be used as dice because they do not roll well.
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Role-playing games often use dice in the shape of octohedra, dodecahedra, and icosahedrones, as well as traditional cubical dice. Tetrahedrons cannot be used as dice because they do not roll well.
  
 
Because the dodecahedron has twelve sides, decorative calendars are sometimes made in the shape of a dodecahedron, with one month printed on each face.
 
Because the dodecahedron has twelve sides, decorative calendars are sometimes made in the shape of a dodecahedron, with one month printed on each face.

Revision as of 08:43, 13 April 2007

A polyhedron is a three dimensional shape which is bounded by polygons.

A regular polyhedron is a polyhedron all of whose faces are identical regular polygons, and all of whose vertices have the same number of faces around each vertex. There are only five regular convex polyhedrons—polyhedrons in which the all of the faces are on the outside of the polyhedron.[1]. They are:

  • The tetrahedron ("tetra-" meaning "four")
  • The cube
  • The octohedron ("octo-" meaning "eight")
  • The dodecahedron ("dodeca-" meaning "twelve")
  • The icosahedron ("icosa-" meaning "twenty")

Role-playing games often use dice in the shape of octohedra, dodecahedra, and icosahedrones, as well as traditional cubical dice. Tetrahedrons cannot be used as dice because they do not roll well.

Because the dodecahedron has twelve sides, decorative calendars are sometimes made in the shape of a dodecahedron, with one month printed on each face.

Notes

  1. As opposed to four "star polyhedra" in which the "faces" of the polyhedron slice into the polyhedron