solid. The dual of the triakis tetrahedron is the truncated tetrahedron. The triakis tetrahedron can be seen as a tetrahedron with a triangular pyramid...

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

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

tessellate three-dimensional space, making the triakis truncated tetrahedral honeycomb. The triakis truncated tetrahedron is the shape of the Voronoi cell of the...

truncation the tetrahedron becomes a truncated tetrahedron. The dual of this solid is the triakis tetrahedron, a regular tetrahedron with four triangular...

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

hexagonal antiprism, D6d symmetry, order 24 Triakis tetrahedron – 12 isosceles triangles, dual of truncated tetrahedron, Td symmetry, order 24 Other less regular...

A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection...

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

Great rhombihexacron Great stellapentakis dodecahedron Great triakis icosahedron Great triakis octahedron Great triambic icosahedron Medial deltoidal hexecontahedron...

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

regular octahedron, regular icosahedron, regular dodecahedron, regular tetrahedron, and cube. The cube can appear in the construction of a polyhedron, and...

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

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

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

(left) has 4 hexagons and tetrahedral symmetry as in a truncated triakis tetrahedron. Hexagonal barrel (middle) has 8 hexagons and D6 symmetry. Soccer...

seen as a triakis tetrahedron, with two pairs of coplanar triangles merged into rhombic faces. The dual is similar to a truncated tetrahedron, except two...

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...

equilateral, but not regular. The dual of the chamfered tetrahedron is the alternate-triakis tetratetrahedron. The cT is the Goldberg polyhedron GPIII(2...

the rhombic dodecahedron and the triakis tetrahedron. Removing certain triples of vertices from the triakis tetrahedron separates the remaining vertices...

The truncated triakis icosahedron, or more precisely an order-10 truncated triakis icosahedron, is a convex polyhedron with 72 faces: 10 sets of 3 pentagons...

bipyramid (or dipyramid) or triakis triangular prism a polyhedron constructed from a triangular prism by attaching two tetrahedrons to its bases. It is an...

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

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

4 stellations of the rhombic dodecahedron 187 stellations of the triakis tetrahedron 358,833,097 stellations of the rhombic triacontahedron 17 stellations...

4 is alternated as 2.3.2.3.2.3 which is reduced to 3.3.3, being the tetrahedron, and all the 6 edges of the tetrahedra can also be seen as the degenerate...

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

Miller's rules, the triakis tetrahedron produces 187 distinct stellations. It is the smallest Catalan solid, dual to the truncated tetrahedron, which only has...

surrounded by alternating faces and edges. The smallest polyhedron is the tetrahedron with 4 triangular faces, 6 edges, and 4 vertices. Named polyhedra primarily...

convex solids, this is the convex hull. The tetrahedron is self-dual, so the dual compound of a tetrahedron with its dual is the regular stellated octahedron...