I derived this model from a Trapezoidal Icositretrahedron, which consist of 24 kites and is the dual of a Rhombicubocatahedron. The model belongs to the symmetry group of the Tetrahedron multiplied by the central inversion, indicated by Coxeter as A4 x {I}. I build this one to derive a compound of 12 cubes which consists of four classic compounds of 3 cubes. Later on I found that there exist many of them. Never mind this one has the special relationship with the Trapezoidal Icositretrahedron.