A tetrahedron.Examples of unacceptable faces.A portion of an infinite lattice of interpenetrating tetrahedra.
A tetrahedron has four triangular faces, four vertices, and six edges.
Consider what happens when a vertex of one tetrahedron pierces the face of a second tetrahedron to form a new, more complicated polyhedron. In the resulting geometric form, one triangular face has a triangular “hole” where the face was pierced.
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