Difference between revisions of "Polyhedron"
Jump to navigation
Jump to search
Hojimachong (talk | contribs) m (Reverted edits by VinceValentine (Talk); changed back to last version by SeanTheSheep) |
|||
| Line 1: | Line 1: | ||
| − | ''' | + | A '''polyhedron''' is a three dimensional shape which is bounded by [[polygon]]s. |
| − | + | ||
| − | + | [[Image:PlatonicSolids.jpg|right|600px|thumb|The five regular convex polyhedra, also known as the Platonic Solids]] | |
| − | + | ||
| − | + | 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.<ref>As opposed to four "star polyhedra" in which the "faces" of the polyhedron slice into the polyhedron</ref>. They are: | |
| − | + | ||
| − | + | *The tetrahedron ("tetra-" meaning "four") | |
| − | + | *The cube or hexahedron ("hexa-" meaning "six") | |
| − | + | *The octahedron ("octa-" 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 icosahedra, as well as traditional cubical dice. | |
| − | + | ||
| − | + | 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== | |
| − | + | ||
| − | + | For a full description of polyhedra see: http://mathworld.wolfram.com/Polyhedron.html | |
| − | + | ||
| − | + | <references/> | |
| − | + | ||
| − | + | [[Category:Geometry]] | |
| − | |||
| − | |||
| − | |||
| − | == | ||
| − | |||
| − | |||
| − | |||
Revision as of 03:00, June 23, 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 or hexahedron ("hexa-" meaning "six")
- The octahedron ("octa-" 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 icosahedra, as well as traditional cubical dice.
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
For a full description of polyhedra see: http://mathworld.wolfram.com/Polyhedron.html
- ↑ As opposed to four "star polyhedra" in which the "faces" of the polyhedron slice into the polyhedron
