Disphenoid

In geometry, a disphenoid (also bisphenoid) (from Greek sphenoeides, "wedgelike" ) is a tetrahedron whose four faces are congruent acute-angled triangles. It can also be described as a tetrahedron in which every two edges that are opposite each other have equal lengths. Other names are isosceles tetrahedron and equifacial tetrahedron. They can also be seen as digonal antiprisms as an alternated quadrilateral prism. All the solid angles and vertex figures of a disphenoid are the same, and the sum of the face angles at each vertex is equal to two right angles. However, a disphenoid is not a regular polyhedron, because, in general, its faces are not regular polygons, and it is not edge-transitive .