In geometry, the truncated tetrahedron is an Archimedean solid. It has 4 regular hexagonal faces, 4 equilateral triangle faces, 12 vertices and 18 edges (of two types). It can be constructed by truncating all 4 vertices of a regular tetrahedron at one third of the original edge length.
A deeper truncation, removing a tetrahedron of half the original edge length from each vertex, is called rectification. The rectification of a tetrahedron produces an octahedron.[1]
A truncated tetrahedron is the Goldberg polyhedron GIII(1,1), containing triangular and hexagonal faces.
A truncated tetrahedron can be called a cantic cube, with Coxeter diagram, , having half of the vertices of the cantellated cube (rhombicuboctahedron), . There are two dual positions of this construction, and combining them creates the uniform compound of two truncated tetrahedra.
creates the uniform compound of two truncated tetrahedra. The area A and the volume V of a truncatedtetrahedron of edge length a are: A = 7 3 a 2 ≈ 12...
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 truncatedtetrahedron. The triakis tetrahedron can be seen as a tetrahedron with a triangular pyramid added...
augmented truncatedtetrahedron is one of the Johnson solids (J65). It is created by attaching a triangular cupola (J3) to one hexagonal face of a truncated tetrahedron...
three-dimensional space, making the triakis truncated tetrahedral honeycomb. The triakis truncatedtetrahedron is the shape of the Voronoi cell of the carbon...
the truncatedtetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...
The truncated octahedron was called the "mecon" by Buckminster Fuller. Its dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron...
In geometry, the rectified truncatedtetrahedron is a polyhedron, constructed as a rectified, truncatedtetrahedron. It has 20 faces: 4 equilateral triangles...
antiprism, D6d symmetry, order 24 Triakis tetrahedron – 12 isosceles triangles, dual of truncatedtetrahedron, Td symmetry, order 24 Other less regular...
Depending on how much is truncated (see table below), different Platonic and Archimedean (and other) solids can be created. If the truncation is exactly deep enough...
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and...
edge length. A regular tetrahedron is formed at each truncated vertex. The Cartesian coordinates of the vertices of a truncated tesseract having edge length 2...
3,3}, has truncated octahedron, hexagonal prism, dodecagonal prism, and truncated trihexagonal tiling cells, with an irregular tetrahedron vertex figure...
all triangular faces to be equilateral. Truncatedtetrahedron: The four faces from the tetrahedron are truncated to become regular hexagons, and there are...
the five truncations of the Platonic solids—truncatedtetrahedron, truncated octahedron, truncated cube, truncated dodecahedron, and truncated icosahedron—and...
solids, J1 and J2, are pyramids. The triangular pyramid is the regular tetrahedron, so it is not a Johnson solid. They represent sections of regular polyhedra...
solid with genuine tetrahedral symmetry is the triakis tetrahedron (dual of the truncatedtetrahedron). The rhombic dodecahedron and tetrakis hexahedron have...
fill space with the truncated cube, truncatedtetrahedron and triangular prism as a truncated runcic cubic honeycomb. Truncated small rhombicuboctahedron...
In geometry, a tetrahedron (pl.: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six...
regular tetrahedron and dodecahedron, and, among the Archimedean solids, the truncatedtetrahedron, truncated cube, truncated octahedron, truncated cuboctahedron...
Global Information
= 
