pseudooctahedron

A pseudooctahedron is a type of polyhedron that resembles an octahedron but has faces that are not equilateral triangles. In a regular octahedron, all six vertices are equivalent, and all twelve edges have the same length, resulting in eight equilateral triangular faces. A pseudooctahedron, however, deviates from this strict regularity. While it possesses the general shape and topology of an octahedron, with eight faces meeting at six vertices, the lengths of its edges can vary. This variation in edge lengths means that the faces, though still triangular, are not necessarily equilateral. They can be scalene or isosceles triangles. The term "pseudo" indicates this departure from the perfect, regular form. The concept of a pseudooctahedron is often encountered in geometric studies or when discussing polyhedra that approximate ideal shapes. Despite not being a Platonic solid, a pseudooctahedron maintains the characteristic connectivity and face count of an octahedron.