a tetrahedron. The name "tetrakis" is used for the Kleetopes of polyhedra with square faces. Hence, the tetrakis hexahedron can be considered as a cube...

dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron has unit edge length, its dual tetrakis hexahedron has edge lengths ⁠9/8⁠√2...

A cube or regular hexahedron is a three-dimensional solid object in geometry. It is an example of a polyhedron, having eight vertices, twelve straight...

subtriangles of the tetrakis cuboctahedron Cuboctahedron Tetrakis hexahedron The nonconvex octahemioctahedron looks like a concave tetrakis cuboctahedron with...

triangular faces Tetrakis hexahedron, an Archimedean dual solid or a Catalan solid Tetrakis square tiling, a tiling of the Euclidean plane Tetrakis...

examples are the Kleetope of Platonic solids: triakis tetrahedron, tetrakis hexahedron, triakis octahedron, triakis icosahedron, and pentakis dodecahedron...

crystal system. Seen in stereographic projection the edges of the tetrakis hexahedron form 6 circles (or centrally radial lines) in the plane. Each of...

Five Catalan solids, the triakis tetrahedron, triakis octahedron, tetrakis hexahedron, pentakis dodecahedron, and triakis icosahedron, each have isosceles-triangle...

Non-convex 24-sided tetrakis hexahedron with the same surface geometry as a regular octahedron...

formed by adding a triangular pyramid to each face of them. The tetrakis hexahedron is the Kleetope of the cube, formed by adding a square pyramid to...

facets that belong to a cube, octahedron, rhombicosidodecahedron, tetrakis hexahedron, or disdyakis dodecahedron. The crystals can have rounded-off and...

positions. 24 Triakis octahedron Each face is an isosceles triangle. Tetrakis hexahedron Each face is an isosceles triangle. Deltoidal icositetrahedron Each...

Goldberg sequence: GP(1,1), GP(2,2), GP(4,4), GP(8,8)... A truncated tetrakis hexahedron or pentakis dodecahedron, GP(3,0), creates a Goldberg sequence: GP(3...

Catalan triakis octahedron Oh, [4,3], (*432) 48 24 V4.62 Catalan tetrakis hexahedron Oh, [4,3], (*432) 48 24 V3.43 Catalan deltoidal icositetrahedron...

solid Triakis tetrahedron, Rhombic dodecahedron, Triakis octahedron, Tetrakis hexahedron, Deltoidal icositetrahedron, Disdyakis dodecahedron, Pentagonal icositetrahedron...

compound can be seen as a stellation of the tetrakis hexahedron. A different form of the tetrakis hexahedron, formed by using taller pyramids on each face...

construct new polyhedra, an example of augmentation. For example, a tetrakis hexahedron can be constructed by attaching the base of an equilateral square...

tetrahedron kT Rhombic dodecahedron jC = jO = oT Triakis octahedron kO Tetrakis hexahedron kC = mT Deltoidal icositetrahedron oC = oO Disdyakis dodecahedron...

solid Triakis tetrahedron Rhombic dodecahedron Triakis octahedron Tetrakis hexahedron Deltoidal icositetrahedron Disdyakis dodecahedron Pentagonal icositetrahedron...

figures have (*n32) reflectional symmetry. Deltoidal hexecontahedron Tetrakis hexahedron, another 24-face Catalan solid which looks a bit like an overinflated...

Truncated cube 14 36 24 Triakis octahedron Truncated octahedron 14 36 24 Tetrakis hexahedron Rhombicuboctahedron 26 48 24 Deltoidal icositetrahedron Truncated...

Coxeter diagram: . There are 24 triangles, visible in the faces of the tetrakis hexahedron, and in the alternately colored triangles on a sphere: The octahedral...

as the body-centered cubic lattice. This honeycomb's vertex figure is a tetrakis cube: 24 disphenoids meet at each vertex. The union of these 24 disphenoids...

dipyramid Catalan solids: triakis tetrahedron, triakis octahedron, tetrakis hexahedron, disdyakis dodecahedron, triakis icosahedron, pentakis dodecahedron...

representation as an ideal polyhedron; for instance this is true of the tetrakis hexahedron, another Catalan solid. Truncating a single vertex from a cube produces...

folded from a three-dimensional net in the form of a non-convex tetrakis hexahedron, obtained by gluing square pyramids onto the faces of a cube, and...

Metabiaugmented hexagonal prism Hebesphenomegacorona Bilunabirotunda Tetrakis hexahedron 15 Tetradecagonal pyramid Tridecagonal bipyramid Pentagonal cupola...

4{3} + 4{6} 7 Truncated octahedron tetrakis hexahedron 2 4|3 4.6.6 Oh U08 K13 14 36 24 6{4} + 8{6} 8 Truncated hexahedron triakis octahedron 2 3|4 3.8.8 Oh...

triathlon, Tripolis e.g. Triton/ium e.g. tetrahedron e.g. pentahedron e.g. hexahedron e.g. September e.g. heptathlon e.g. hebdomas e.g. October e.g. octopus...

Catalan solids, convex: Triakis octahedron - isosceles triangles Tetrakis hexahedron - isosceles triangles Deltoidal icositetrahedron - kites Pentagonal...