using truncated tetrahedra and smaller tetrahedra Truncated 5-cell – Similar uniform polytope in 4-dimensions Truncated triakis tetrahedron Triakis truncated...

In geometry, the triakis truncated tetrahedron is a convex polyhedron made from 4 hexagons and 12 isosceles triangles. It can be used to tessellate three-dimensional...

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

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

The triakis truncated tetrahedral honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of triakis truncated tetrahedra...

the truncated cube has unit edge length, its dual triakis octahedron has edges of lengths 2 and 2 + √2. The area A and the volume V of a truncated cube...

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

decagonal pyramids augmented to the faces. Truncated triakis tetrahedron Truncated triakis octahedron Truncated tetrakis cube 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...

versions. The chamfered tetrahedron or alternate truncated cube is a convex polyhedron constructed: by chamfering a regular tetrahedron: replacing its 6 edges...

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

all triangular faces to be equilateral. Truncated tetrahedron: The four faces from the tetrahedron are truncated to become regular hexagons, and there are...

silver rectangles, is a plesiohedron. The triakis truncated tetrahedron, the prototile of the triakis truncated tetrahedral honeycomb and the plesiohedron...

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

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

dodecadodecahedron Truncated great dodecahedron Truncated great icosahedron Catalan solid Triakis tetrahedron Rhombic dodecahedron Triakis octahedron Tetrakis...

bifrustum Triaugmented triangular prism Truncated rhombic dodecahedron Truncated trapezohedron Truncated triakis tetrahedron Tridyakis icosahedron Trigonal trapezohedron...

Archimedean Truncated tetrahedron tT Cuboctahedron aC = aO = eT Truncated cube tC Truncated octahedron tO = bT Rhombicuboctahedron eC = eO truncated cuboctahedron...

(first constructed by Yang Hui). The simplest Catalan solid, the triakis tetrahedron, produces 138 stellations (depending on rules chosen), 44 of which...

regular 24-cell. There are two degrees of truncations, including a bitruncation. The truncated 24-cell or truncated icositetrachoron is a uniform 4-dimensional...

tetrahedra in 3-space. The triakis truncated tetrahedral honeycomb is cell-transitive and based on a regular tetrahedron. Chen, Elizabeth R.; Engel,...

and 5 truncated tetrahedra. Each vertex is surrounded by 3 truncated tetrahedra and one tetrahedron; the vertex figure is an elongated tetrahedron. The...

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

monorectified tetrahedron Elongated octahedron Tetratetrahedron, triangulated tetrahedron Augmented triangular cupola Triangulated truncated triangular bipyramid...

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

pyramid Gyroelongated square bipyramid Augmented dodecahedron Truncated triakis tetrahedron Counting polyhedra Symmetries of Canonical Self-Dual Polyhedra...

octahedron. The symmetries of a regular tetrahedron correspond to those of a cube which map each tetrahedron to itself; the other symmetries of the cube...

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...

solid with genuine tetrahedral symmetry is the triakis tetrahedron (dual of the truncated tetrahedron). The rhombic dodecahedron and tetrakis hexahedron...

extruded into prisms. It is one of 28 convex uniform honeycombs. The truncated hexagonal prismatic honeycomb or tomo-trihexagonal prismatic cellulation...