In geometry, a triakis octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated...

The truncated triakis octahedron, or more precisely an order-8 truncated triakis octahedron, is a convex polyhedron with 30 faces: 8 sets of 3 pentagons...

In geometry, the great triakis octahedron is the dual of the stellated truncated hexahedron (U19). It has 24 intersecting isosceles triangle faces. Part...

Centered octahedral number Spinning octahedron Stella octangula Triakis octahedron Hexakis octahedron Truncated octahedron Octahedral molecular geometry Octahedral...

triakis triangular tiling. Five Catalan solids, the triakis tetrahedron, triakis octahedron, tetrakis hexahedron, pentakis dodecahedron, and triakis icosahedron...

regular octahedron, by adding tetrahedral pyramids on each face. In this construction it has the same topology as the convex Catalan solid, the triakis octahedron...

24 vertices. If the truncated cube has unit edge length, its dual triakis octahedron has edges of lengths 2 and δS +1, where δS is the silver ratio, √2...

zonohedron, and plesiohedron. The dual polyhedron of a cube is the regular octahedron. The cube is the three-dimensional hypercube, a family of polytopes also...

symmetry have chiral icosahedral symmetry: Four Catalan solids, convex: Triakis octahedron - isosceles triangles Tetrakis hexahedron - isosceles triangles Deltoidal...

vertices), or triakis tetrahedron. Building a pyramid on each face of a regular octahedron, using twelve Sonobe units, results in a triakis octahedron. Building...

dodecahedron Truncated great icosahedron Catalan solid Triakis tetrahedron Rhombic dodecahedron Triakis octahedron Tetrakis hexahedron Deltoidal icositetrahedron...

edges of their own the shape would effectively become a nonconvex triakis octahedron. There are lower symmetry variations on this compound, based on lower...

antiprism, Dodecagonal antiprism Catalan solid Triakis tetrahedron, Rhombic dodecahedron, Triakis octahedron, Tetrakis hexahedron, Deltoidal icositetrahedron...

with hexagonal pyramids augmented. Truncated triakis tetrahedron Truncated triakis octahedron Truncated triakis icosahedron George Hart's Polyhedron generator...

A regular octahedron has 24 rotational (or orientation-preserving) symmetries, and 48 symmetries altogether. These include transformations that combine...

although the name also applies to other triakis shapes like the triakis icosahedron and triakis octahedron. It is the dual tessellation of the truncated...

Point group triakis tetrahedron 12 isosceles triangles 18 8 129.521° Td rhombic dodecahedron 12 rhombi 24 14 120° Oh triakis octahedron 24 isosceles...

In geometry, the truncated triakis tetrahedron, or more precisely an order-6 truncated triakis tetrahedron, is a convex polyhedron with 16 faces: 4 sets...

enlarging 12 of the 24 faces of a dyakis dodecahedron. The great triakis octahedron is a stellation of the deltoidal icositetrahedron. The deltoidal icositetrahedron...

decagonal pyramids augmented to the faces. Truncated triakis tetrahedron Truncated triakis octahedron Truncated tetrakis cube George Hart's Polyhedron generator...

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

Truncated sphere A truncated sphere with twenty-two landing positions. 24 Triakis octahedron Each face is an isosceles triangle. Tetrakis hexahedron Each face...

, , and respectively. The compound polyhedron known as the stellated octahedron can be represented by a{4,3} (an altered cube), and , . The star polyhedron...

an order-3 truncated triakis tetrahedron. This honeycomb is the dual of the triakis truncated tetrahedral honeycomb, with triakis truncated tetrahedral...

not regular. The chamfered octahedron can also be called a tritruncated rhombic dodecahedron. The dual of the cO is the triakis cuboctahedron. The chamfered...

taking every tile to every other tile, including the gyrobifastigium, the triakis truncated tetrahedron, and the trapezo-rhombic dodecahedron. The cube is...

dodecahedron Oh, [4,3], (*432) Td, [3,3], (*332) 48 24 24 V3.82 Catalan triakis octahedron Oh, [4,3], (*432) 48 24 V4.62 Catalan tetrakis hexahedron Oh, [4,3]...

bI snub dodecahedron sD = sI Catalan Triakis tetrahedron kT Rhombic dodecahedron jC = jO = oT Triakis octahedron kO Tetrakis hexahedron kC = mT Deltoidal...

solids: The triakis tetrahedron is the Kleetope of a tetrahedron, the triakis octahedron is the Kleetope of an octahedron, and the triakis icosahedron...

by type 6 Truncated tetrahedron triakis tetrahedron 2 3|3 3.6.6 Td U02 K07 12 18 8 4{3} + 4{6} 7 Truncated octahedron tetrakis hexahedron 2 4|3 4.6.6...