The Archimedean solids take their name from Archimedes, who discussed them
in a now-lost work. During the Renaissance, artists and mathematicians valued
pure forms and rediscovered all of these forms. This search was completed
around 1620 by Johannes Kepler, who defined prisms, antiprisms, and the non-
convex solids known as the Kepler-Poinsot polyhedra.
There are 13 Archimedean solids (15 if the mirror images of two enantiomorphs,
see below, are counted separately).
Here the vertex configuration refers to the type of regular polygons that meet at
any given vertex. For example, a vertex configuration of means that a square,
hexagon, and octagon meet at a vertex (with the order taken to be clockwise
around the vertex).