StellationsThis chiral figure is one of thirteen stellations allowed by Miller's rules. See more
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Triakis Tetrahedron -- from Wolfram MathWorld
3 days ago · In general, a triakis tetrahedron is a non-regular dodecahedron that can be constructed as a positive augmentation of a regular tetrahedron. Such a solid is also known as a tristetrahedron, especially to mineralogists (Correns …
Triakis tetrahedron - Polytope Wiki
The triakis tetrahedron is one of the 13 Catalan solids. It has 12 isosceles triangles as faces, with 4 order-6 and 4 order-3 vertices. It is the dual of the uniform truncated tetrahedron.
Article 45: Geometry - Platonic Solids - Part 6 - The Tetrahedron
Truncated triakis tetrahedron - Wikipedia
In geometry, the truncated triakis tetrahedron, or more precisely an order-6 truncated triakis tetrahedron, is a convex polyhedron with 16 faces: 4 sets of 3 pentagons arranged in a …
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Triakis tetrahedron - Wikiwand
In geometry, a triakis tetrahedron (or kistetrahedron [1]) is a Catalan solid with 12 faces. Each Catalan solid is the dual of an Archimedean solid. The dual of the triakis tetrahedron is the …
Tetrahedron - Wikipedia
The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex, and may thus also be called a 3-simplex. The tetrahedron is one kind of pyramid, …
Controlled self-assembly of a giant isohedral triakis tetrahedron
Mar 15, 2023 · Herein, we report the synthesis of a giant triakis tetrahedron through multi-component self-assembly from four umbrella-shaped hexa-armed organic terpyridine ligands …
Triakis Tetrahedron - dmccooey.com
Triakis Tetrahedron Vertices: 8 (4[3] + 4[6]) Faces: 12 (isosceles triangles) Edges: 18 (12 short + 6 long) Symmetry: Full Tetrahedral (Td) Dihedral Angle: acos(−7/11) ≈129.521196359 degrees: …
The Triakis Tetrahedron - qfbox.info
Jul 12, 2023 · The triakis tetrahedron is a 3D Catalan solid bounded by 12 isosceles triangles, 18 edges (6 long edges, 12 short edges), and 8 vertices. It is the dual of the truncated tetrahedron.
Triakis Tetrahedron - Geometry Calculator - Rechneronline
Calculations at a triakis tetrahedron, the dual body of the truncated tetrahedron. A triakis tetrahedron is a regular tetrahedron with matching regular triangular pyramids attached to its …
Triakis Tetrahedron formula and calculator - redcrabmath.com
The triakis tetrahedron is a convex polyhedron made up of 12 isosceles triangles. It has 8 corners and 18 edges. To calculate a triakis tetrahedron, select the property you know from the menu …
Triakis Truncated Tetrahedron -- from Wolfram MathWorld
The triakis truncated tetrahedron is a convex space-filling polyhedron which is the shape of the Voronoi cell of carbon atoms in diamond. It can be constructed from the truncated tetrahedron …
The Catalan Solids - qfbox.info
Jan 16, 2023 · Triakis tetrahedron (dual of the truncated tetrahedron): bounded by 12 isosceles triangles with edge ratios 3 : 3 : 5. (Dual of the omnitruncated tetrahedron: identical to the …
Truncated Tetrahedron-Triakis Tetrahedron Compound -- from …
4 days ago · The compound of a truncated tetrahedron and its dual, the triakis tetrahedron. The compound can be constructed from a truncated octahedron of unit edge length by midpoint …
Controlled self-assembly of a giant isohedral triakis tetrahedron
The triakis tetrahedron is applied in the photo-driven degradation of a sulfur mustard mimic. The principles developed herein enhance the possible topological diversity of supramolecular …
No assembly required: giant 12-faced molecule builds itself - Nature
Feb 16, 2023 · Scientists have synthesized a giant molecular structure that resembles a 12-faced solid called a triakis tetrahedron 1. This structure could be used to confine smaller molecules …
A Polyhedral Journey, Starting With the Truncated Tetrahedron
5 days ago · Here's the truncated tetrahedron. It is the simplest of the Archimedean solids. I decided to "take a walk" with this polyhedron. First, I used Stella 4d (available here) to make …
Herein, we report the synthesis of a giant triakis tetrahedron through multi-component self-assembly from four umbrella-shaped hexa-armed organic ter-pyridine ligands and six pre …
We describe the harmonic functions for certain isohedral triakis solids. They are the first examples for which polyhedral harmonics is strictly larger than group harmonics. Keywords: …
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