Regular Polygon - Regular Polygons As Faces of Polyhedra

Regular Polygons As Faces of Polyhedra

A uniform polyhedron has regular polygons as faces, such that for every two vertices there is an isometry mapping one into the other (just as there is for a regular polygon).

A quasiregular polyhedron is a uniform polyhedron which has just two kinds of face alternating around each vertex.

A regular polyhedron is a uniform polyhedron which has just one kind of face.

The remaining (non-uniform) convex polyhedra with regular faces are known as the Johnson solids.

A polyhedron having regular triangles as faces is called a deltahedron.

Read more about this topic:  Regular Polygon

Famous quotes containing the words regular and/or faces:

    The solid and well-defined fir-tops, like sharp and regular spearheads, black against the sky, gave a peculiar, dark, and sombre look to the forest.
    Henry David Thoreau (1817–1862)

    A woman drew her long black hair out tight
    And fiddled whisper music on those strings
    And bats with baby faces in the violet light
    Whistled, and beat their wings
    And crawled head downward down a blackened wall....
    —T.S. (Thomas Stearns)