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)

    In the faces of men and women I see God, and in my own face in the glass,
    I find letters from God dropt in the street, and every one is sign’d by God’s name.
    And I leave them where they are, for I know that wheresoe’er I go,
    Others will punctually come for ever and ever.
    Walt Whitman (1819–1892)