Cuboctahedron
 |
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 UniformPolyhedron 
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, andCircumradius for 
are
 |  |  | |
 | |  | |
 | |  |
Faceted versions include the Cubohemioctahedron and Octahemioctahedron.
 |
The solid common to both the Cube and Octahedron (left figure) in a Cube-Octahedron Compound is aCuboctahedron (right figure; Ball and Coxeter 1987).
See also Archimedean Solid, Cube, Cube-Octahedron 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.
- Automorphic Function
- Automorphic Number
- Automorphism
- Automorphism Group
- Autonomous
- Autoregressive Model
- Auxiliary Circle
- Auxiliary Latitude
- Auxiliary Triangle
- Average
- Average Absolute Deviation
- Average Function
- Average Seek Time
- Semisecant
- Semisimple
- Semisimple Algebra
- Semisimple Lie Group
- Semisimple Ring
- Semistable
- Sensitivity
- Sentence
- Separating Edge
- Separating Family
- Separation
- Separation of Variables