Cuboctahedron

A cuboctahedron is a Polyhedron with eight triangular faces and six square faces. A cuboctahedron has 12 identical vertices, with two triangles and two 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 , being Vertex-transitive and Edge-transitive . Its Dual Polyhedron is the Rhombic Dodecahedron . __TOC__ OTHER NAMES ''Heptaparallelohedron'' ( Buckminster Fuller ) {Link without Title} --- Fuller applied the name ". '' Rectified cube'' or ''rectified octahedron'' ( Norman Johnson ) --- Also '' Cantellated tetrahedron'' by a lower symmetry. ''Triangular gyrobicupola'' (analog to Triangular Orthobicupola ) AREA AND VOLUME The area ''A'' and the volume ''V'' of the cuboctahedron of edge length ''a'' are: : $A = (6+2\sqrt{3})a^2 \approx 9.46410162a^2$ : $V = rac{5}{3} \sqrt{2}a^3 \approx 2.3570226a^3$ GEOMETRIC RELATIONS A cuboctahedron can be obtained by taking an appropriate Cross Section of a four-dimensional Cross-polytope . A cuboctahedron has octahedral symmetry. Its first Stellation is the Compound of a Cube and its dual Octahedron , with the vertices of the cuboctahedron located at the midpoints of the edges of either. The cuboctahedron is a Rectified Cube and also a rectified Octahedron .
	{ Class	"prettytable"

	CATEGORIES ABOUT CUBOCTAHEDRON

	archimedean solids

	quasiregular polyhedra

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