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tetrahedron

tetrahedron

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

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

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

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

A deeper truncation, removing a tetrahedron of half the original edge length from each vertex, is called rectification. en.wikipedia.org

The cube belongs to the isometric or tessular class, as do an octahedron and tetrahedron. 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

In a regular tetrahedron, not only are all its faces the same size and shape (congruent) but so are all its vertices and edges. 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

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