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:
“It was inspiriting to hear the regular dip of the paddles, as if they were our fins or flippers, and to realize that we were at length fairly embarked. We who had felt strangely as stage-passengers and tavern-lodgers were suddenly naturalized there and presented with the freedom of the lakes and woods.”
—Henry David Thoreau (1817–1862)
“You must not count much upon what I can do or learn in New York.... Everything there disappoints me but the crowd; rather, I was disappointed with the rest before I came. I have no eyes for their churches, and what else they find to brag of. Though I know but little about Boston, yet what attracts me, in a quiet way, seems much meaner and more pretending than there,—libraries, pictures, and faces in the street. You don’t know where any respectability inhabits.”
—Henry David Thoreau (1817–1862)