Search results
Results from the WOW.Com Content Network
The truncated cuboctahedron is the convex hull of a rhombicuboctahedron with cubes above its 12 squares on 2-fold symmetry axes. The rest of its space can be dissected into 6 square cupolas below the octagons, and 8 triangular cupolas below the hexagons.
They are the cuboctahedron, truncated octahedron, truncated cube, rhombicuboctahedron, icosidodecahedron, truncated cuboctahedron, truncated icosahedron, truncated dodecahedron, and the truncated tetrahedron. [10] The Catalan solids are the dual polyhedron of Archimedean solids. [1]
In geometry, the great truncated cuboctahedron (or quasitruncated cuboctahedron or stellatruncated cuboctahedron) is a nonconvex uniform polyhedron, indexed as U 20. It has 26 faces (12 squares , 8 hexagons and 6 octagrams ), 72 edges, and 48 vertices. [ 1 ]
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.
Two chiral copies of the snub cube, as alternated (red or green) vertices of the truncated cuboctahedron. A snub cube can be constructed from a rhombicuboctahedron by rotating the 6 blue square faces until the 12 white square faces become pairs of equilateral triangle faces. In geometry, a snub is an operation applied to a polyhedron.
The truncated cuboctahedron is similar, with all regular faces, and 4.6.8 vertex figure. The triangle and squares of the rhombicuboctahedron can be independently rectified or truncated, creating four permutations of polyhedra. The partially truncated forms can be seen as edge contractions of the truncated form.
Truncated cuboctahedron (Great rhombicuboctahedron) disdyakis dodecahedron: 2 3 4| 4.6.8 O h: U11 K16 48 72 26 12{4} + 8{6} + 6{8} 16 Truncated icosidodecahedron
This model shares the name with the convex great rhombicuboctahedron, also called the truncated cuboctahedron. An alternative name for this figure is quasirhombicuboctahedron. From that derives its Bowers acronym: querco.