Cuboctahedron

Cuboctahedron
Type	Archimedean solid
Faces	14
Edges	24
Vertices	12
Schläfli symbol	${\displaystyle {\begin{Bmatrix}4\\3\end{Bmatrix}}}$
Symmetry group	Octahedral symmetry ${\displaystyle \mathrm {O} _{\mathrm {h} }}$ Tetrahedral symmetry ${\displaystyle \mathrm {T} _{\mathrm {d} }}$
Dihedral angle (degrees)	approximately 125°
Dual polyhedron	Rhombic dodecahedron
Properties	convex, vector equilibrium, Rupert property
Vertex figure
Net

A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e., an Archimedean solid that is not only vertex-transitive but also edge-transitive.^[1] It is radially equilateral. Its dual polyhedron is the rhombic dodecahedron.