Complex sentence: From a viable origin point, within a lattice, their exists an unlimited series of Generalized Waterman Polyhedron (GWP); and given its proper sweep interval, there is a one to one correspondence between each integer value and a GWP.
Split into simpler sentences: From a viable origin point, within a lattice, their exists an unlimited series of GWP. Given its proper sweep interval, then there is a one to one correspondence between each integer value and a GWP.