Wikipedia:Today's featured article/November 18, 2004

In mathematics, a regular polytope is a geometric figure with a high degree of symmetry. Examples in two dimensions include the square, the regular pentagon and hexagon, and so on. In three dimensions the regular polytopes include the cube, the dodecahedron, and all Platonic solids. There exist examples in higher dimensions also. Circles and spheres, although highly symmetric, are not considered regular polytopes because they do not have flat faces. The strong symmetry of the regular polytopes gives them an aesthetic quality that interests of non-mathematicians and mathematicians alike. (more...)

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