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Triakis truncated tetrahedron — image 1

Triakis truncated tetrahedron

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A convex polyhedron made from 4 hexagons and 12 isosceles triangles.

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Category
Math
License
Creative Commons — Public Domain

In geometry, the triakis truncated tetrahedron is a convexpolyhedron made from 4 hexagons and 12 isosceles triangles. It can be used to tessellate three-dimensional space, making the triakis truncated tetrahedral honeycomb.[1][2]

The triakis truncated tetrahedron is the shape of the Voronoi cell of the carbon atoms in diamond, which lie on the diamond cubic crystal structure.[3][4] As the Voronoi cell of a symmetric space pattern, it is a plesiohedron.[5]

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