Icosahedral symetry group has 60 elements - rotations about axes of 2, 3 and 5 order.

It has subgroup of index 5 - groups of rotational symmetries of tetrahedron with 12 elements - rotations about axes of 2 and 3 order.

The sculpture represents relations between such group, its subgroup and its cosets as a combination of 5 identical interpenetrating tetrahedra forming compound with icosahedral symmetry.