2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155071The 600 cell S has exactly 10 5-colorings. From these colorings we can construct the space of colorings $B(S)$. This complex has 1344 colorings, and is isomorphic to the space of 5 by 5 Latin Squares. These simplices split into 4 copies of a quotient of S by an involution, and two copies of a space made up of even Latin Squares.4 pagesCombinatorics05c15text