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Truncated tetrahedron - Wikipedia
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. See more
The truncated tetrahedron can be constructed from a regular tetrahedron by cutting all of its vertices off, a process known as See more
Given the edge length $${\displaystyle a}$$. The surface area of a truncated tetrahedron $${\displaystyle A}$$ is the sum of 4 regular hexagons and 4 equilateral triangles' … See more
In the mathematical field of graph theory, a truncated tetrahedral graph is an Archimedean graph, the graph of vertices and edges of … See more
The truncated tetrahedron can be found in the construction of polyhedrons. For example, the augmented truncated tetrahedron is a Johnson solid constructed from a truncated … See more
• Quarter cubic honeycomb – Fills space using truncated tetrahedra and smaller tetrahedra
• Truncated 5-cell – Similar uniform polytope in 4-dimensions
• Truncated triakis tetrahedron See moreWikipedia text under CC-BY-SA license Rectified truncated tetrahedron - Wikipedia
In geometry, the rectified truncated tetrahedron is a polyhedron, constructed as a rectified, truncated tetrahedron. It has 20 faces: 4 equilateral triangles, 12 isosceles triangles, and 4 regular hexagons.
Topologically, the triangles corresponding to the tetrahedron's vertices are always equilateral, although the hexagons, while having equal edge lengths, d…Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 50 secs
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Truncated triakis tetrahedron - Wikipedia
In geometry, the truncated triakis tetrahedron is a convex polyhedron with 16 faces: four sets of three pentagons with a shared vertex, arranged in a tetrahedral arrangement, with four …
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Truncated Tetrahedron -- from Wolfram MathWorld
Mar 5, 2025 · The truncated tetrahedron is the Archimedean solid with faces 4{3}+4{6}. It is also the uniform polyhedron with Maeder index 2 (Maeder 1997), Wenninger index 6 (Wenninger 1989), Coxeter index 16 (Coxeter et al. 1954), …
Truncated tetrahedron - Polytope Wiki
See more on polytope.miraheze.orgA truncated tetrahedron of edge length 1 has vertex coordinates given by all permutations and even sign changes of: 1. ( 3 2 4 , 2 4 , 2 4 ) {\displaystyle {\displaystyle \left({\frac {3{\sqrt {2}}}{4}},\,{\frac {\sqrt {2}}{4}},\,{\frac {\sqrt {2}}{4}}\right)}} . Scaling these coordinates by a factor of 2 2 {\displaystyle {\displa…Archimedean Solid -- from Wolfram MathWorld
Seven of the 13 Archimedean solids (the cuboctahedron, icosidodecahedron, truncated cube, truncated dodecahedron, truncated octahedron, truncated icosahedron, and truncated tetrahedron) can be obtained by truncation of a …
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Truncated tetrahedron - Wikiwand
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 …
Definition:Archimedean Polyhedron - ProofWiki
A truncated cuboctahedron is formed by truncating a cuboctahedron so that the vertices lie $\dfrac 1 3$ of the way along the edges of the cuboctahedron, and then adjusting the shapes of the …
Truncated tetrahedron - Academic Kids
The truncated tetrahedron is an Archimedean solid. Canonical coordinates for the vertices of a truncated tetrahedron centered at the origin are (±3, ±1, ±1), (±1, ±3, ±1), (±1, ±1, ±3), where …
Compound of two truncated tetrahedra - Wikipedia
This uniform polyhedron compound is a composition of two truncated tetrahedra, formed by truncating each of the tetrahedra in the stellated octahedron.It is related to the cantic cube …
truncated tetrahedron - Wolfram|Alpha
regular tetrahedron; false cubic tiling; longest diagonal of LD freight containers
Octahedron atop truncated tetrahedron - Polytope Wiki
Octahedron atop truncated tetrahedron, or octatut, is a CRF segmentochoron (designated K-4.52 on Richard Klitzing's list). As the name suggests, it consists of an octahedron and a truncated …
Article 43: Geometry - Platonic Solids - Part 4 - Cosmic Core
The vertices of the octahedron (shown in red) are truncated to form the truncated octahedron (shown below in green). This is the only Archimedean solid that can fill space with identical …
truncated_tetrahedron_graph — NetworkX 3.4.1 documentation
The truncated tetrahedron is an Archimedean solid with 4 regular hexagonal faces, 4 equilateral triangle faces, 12 nodes and 18 edges. It can be constructed by truncating all 4 vertices of a …
Truncated cyclotruncated tetrahedral-octahedral honeycomb
The truncated cyclotruncated tetrahedral-octahedral honeycomb, also called the truncated bitruncated tetrahedral-octahedral honeycomb or tabtatoh is an isogonal honeycomb that …
Truncated tesseract - Wikipedia
In geometry, a truncated tesseract is a uniform 4-polytope formed as the truncation of the regular tesseract. There are three truncations, including a bitruncation, and a tritruncation, which …
The 13 Archimedean Solids - geom.uiuc.edu
Truncation means cutting off the corners of a solid. We cut off identical lengths along each edge emerging from a vertex. This process adds a new face to the polyhedron. Each of the following …
Truncated {6,3,3} Honeycomb | Visual Insight
Dec 1, 2016 · To obtain the truncated {6,3,3} honeycomb, we replace each vertex of {6,3,3} honeycomb by a tetrahedron. We can think of this process as chopping off the vertices of the …
15 Points A truncated cube is a convex polyhedron with 36 edges …
May 27, 2020 · A truncated tetrahedron is a convex polyhedron with 18 edges and 12 vertices. How do the number of faces of a truncated cube and a truncated tetrahedron compare? A.) …
List of polygons, polyhedra and polytopes - Wikipedia
Truncated triakis tetrahedron; Tridyakis icosahedron; Trigonal trapezohedron; Regular skew polyhedron; Waterman polyhedron; Wedge; Regular and uniform compound polyhedra. …
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