High Quality Content by WIKIPEDIA articles! A disphenoid is a polyhedron whose four faces are identical triangles. The faces of a tetragonal disphenoid are isosceles; the faces of a rhombic disphenoid are scalene. If the faces are equilateral triangles, one obtains a regular tetrahedron, which is not normally considered a disphenoid. All the solid angles and vertex figures of a disphenoid are the same. However, a disphenoid is not a regular polyhedron, because its faces are not regular polygons.

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