Deltahedron
Polyhedron made of equilateral triangles / From Wikipedia, the free encyclopedia
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Not to be confused with Deltohedron.
In geometry, a deltahedron (plural deltahedra) is a polyhedron whose faces are all (congruent) equilateral triangles. The name is taken from the Greek upper case delta letter (Δ), which has the shape of an equilateral triangle. There are infinitely many deltahedra. By the handshaking lemma, each deltahedron has an even number of faces. Only eight deltahedra are strictly convex; these have 4, 6, 8, 10, 12, 14, 16, or 20 faces.[1] The eight convex deltahedra, with their respective numbers of faces, edges, and vertices, are listed below.