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:

    My attitude toward punctuation is that it ought to be as conventional as possible. The game of golf would lose a good deal if croquet mallets and billiard cues were allowed on the putting green. You ought to be able to show that you can do it a good deal better than anyone else with the regular tools before you have a license to bring in your own improvements.
    Ernest Hemingway (1899–1961)

    The path was a vague parting in the grass
    That led us to a weathered windowsill.
    We pressed our faces to the pane. “You see,” he said,
    “Everything’s as she left it when she died....”
    Robert Frost (1874–1963)