
An Archimedean Solid (also called the Dymaxion or Heptaparallelohedron) whose Dual is the Rhombic Dodecahedron. It is one of the two convex Quasiregular Polyhedra and has Schläfli Symbol . It is also Uniform Polyhedron and has Wythoff Symbol . Its faces are . It has the Octahedral Group of symmetries.
The Vertices of a cuboctahedron with Edge length of
are
,
, and
. The Inradius, Midradius, and
Circumradius for are

The solid common to both the Cube and Octahedron (left figure) in a CubeOctahedron Compound is a Cuboctahedron (right figure; Ball and Coxeter 1987).
See also Archimedean Solid, Cube, CubeOctahedron Compound, Cubohemioctahedron, Octahedron, Octahemioctahedron, Quasiregular Polyhedron, Rhombic Dodecahedron, Rhombus
References
Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, p. 137, 1987.
Ghyka, M. The Geometry of Art and Life. New York: Dover, p. 54, 1977.
© 19969 Eric W. Weisstein