In geometry, the rectified truncated octahedron is a convex polyhedron, constructed as a rectified, truncated octahedron. It has 38 faces: 24 isosceles triangles, 6 squares, and 8 hexagons.
Topologically, the squares corresponding to the octahedron's vertices are always regular, although the hexagons, while having equal edge lengths, do not have the same edge lengths with the squares, having different but alternating angles, causing the triangles to be isosceles instead.
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In geometry, the rectifiedtruncatedoctahedron is a convex polyhedron, constructed as a rectified, truncatedoctahedron. It has 38 faces: 24 isosceles...
of which meet at each vertex. A regular octahedron is the dual polyhedron of a cube. It is also a rectified tetrahedron, a square bipyramid in any of...
icosahedron, octahedron, and tetrahedron by folding along the diagonals of its square sides. With Oh symmetry, order 48, it is a rectified cube or rectified octahedron...
tetrahedral honeycomb, t0,1,2,3{6,3,3}, has truncatedoctahedron, hexagonal prism, dodecagonal prism, and truncated trihexagonal tiling cells, with an irregular...
has truncated square tiling, truncated cuboctahedron, and truncatedoctahedron facets in a mirrored sphenoid vertex figure. The alternated rectified square...
t1,2{3,5,3}, , also called truncated dodecahedral honeycomb, each of whose cells are truncated dodecahedra. The rectified icosahedral honeycomb, t1{3...
compound. It can also be called an expanded or cantellated cube or octahedron, from truncation operations on either uniform polyhedron. There are distortions...
the symmetry of rings in the Coxeter–Dynkin diagrams: The rectified cubic honeycomb or rectified cubic cellulation is a uniform space-filling tessellation...
truncatedoctahedron, and a rhombic dodecahedron. The excavated truncated rhombicuboctahedron is a toroidal polyhedron, constructed from a truncated rhombicuboctahedron...
faces. The truncated-octahedron-first projection of the bitruncated tesseract into 3D space has a truncated cubical envelope. Two of the truncated octahedral...
also be constructed as a rectified rhombicuboctahedron. Expanded rhombic dodecahedron Rectified rhombicuboctahedron Rectified small rhombicuboctahedron...
regular compounds. The cuboctahedron, on the other hand, is a rectified cube or rectifiedoctahedron, and one of only two convex quasiregular polyhedra. It contains...
opposite corners of a cube are truncated at the depth of the three vertices directly connected to them, an irregular octahedron is obtained. Eight of these...
symmetries, which is demonstrated by the fact that an octahedron can be viewed as a rectified tetrahedron, and an icosahedron can be used as a snub tetrahedron...
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