tetrakis hexahedron noun1 •A Catalan solid that has 24 congruent triangular faces and 36 edges and can be imagined as a cube with a square pyramid on each face.In the Isometric Tribe can be found the families of the Tetrakis Hexahedrons and Octahedrons, with their various descendants. — 1909 formstetrakis hexahedra · tetrakis hexahedrons