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tetra·he·dron <pl -dra [or -s]> [ˌtetrə'hiːdrən] N math

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A tetrahedron is orthocentric if and only if its circumscribed parallelepiped is a rhombohedron. en.wikipedia.org

The tetrahedron, octahedron, icosahedron, and great icosahedron appear commonly in non-prismatic uniform polychora, but not in their snub constructions. en.wikipedia.org

Although a regular tetrahedron can not tessellate space alone, this dual has identical disphenoid tetrahedron cells with isosceles triangle faces. en.wikipedia.org

The rectification of a tetrahedron produces an octahedron. en.wikipedia.org

For simple geodesic domes, curves follow the surface of a sphere circumscribing a regular polyhedron with triangular faces, (tetrahedron, icosahedron, or octahedron). en.wikipedia.org

Each silica tetrahedron shares 3 of its vertex oxygen atoms with other tetrahedra forming a hexagonal array in two-dimensions. en.wikipedia.org

The number of constraints to hold together such a tetrahedron is 9 (4 distances and 5 angles). en.wikipedia.org

Indeed, in any tetrahedron, a pair of opposite edges is perpendicular if and only if the corresponding faces of the circumscribed parallelepiped are rhombi. en.wikipedia.org

Figure one shows the pyrochlore lattice structure of spin ice and spins on a tetrahedron. phys.org

In simple alkyllithium reagents, these triangles aggregate to form tetrahedron or octahedron structures. en.wikipedia.org

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