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

Octahedral number Centered octahedral number Triakis octahedron Hexakis octahedron Truncated octahedron Octahedral molecular geometry Octahedral sphere...

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...

similar as the Catalan solid of a triakis octahedron with much shorter pyramids, known as the Kleetope of an octahedron. It can be seen as a {4/2} antiprism;...

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

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...

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

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

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

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

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

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

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

a triakis tetrahedron by truncating the order-6 vertices. The truncated vertices become four hexagon faces, and the obtuse triangles of the triakis tetrahedron...

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

zonohedrons, and plesiohedrons. The dual polyhedron of a cube is the regular octahedron. The cube can be represented in many ways, such as the cubical graph,...

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

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

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]...

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...

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

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

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

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

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...

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

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

Similar uniform polytope in 4-dimensions Truncated triakis tetrahedron Triakis truncated tetrahedron Octahedron – a rectified tetrahedron Truncated Triangular...

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