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Was (wer) ist isosceles tetrahedron - definition
![A space-filling tetrahedral disphenoid inside a cube. Two edges have [[dihedral angle]]s of 90°, and four edges have dihedral angles of 60°.](https://commons.wikimedia.org/wiki/Special:FilePath/Oblate tetrahedrille cell.png?width=200 "A space-filling tetrahedral disphenoid inside a cube. Two edges have [[dihedral angle]]s of 90°, and four edges have dihedral angles of 60°.")
![cyclic pentagon]] into isosceles triangles by radii of its circumcircle](https://commons.wikimedia.org/wiki/Special:FilePath/Cyclic pentagon isosceles partition.svg?width=200 "cyclic pentagon]] into isosceles triangles by radii of its circumcircle")
Wikipedia
In geometry, a disphenoid (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 for the same shape are isotetrahedron,sphenoid, bisphenoid, isosceles tetrahedron, equifacial tetrahedron, almost regular tetrahedron, and tetramonohedron.
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 its edges have three different lengths.
