Unary and binary multisystems; topologic classification of phase diagrams and relation to Euler's theorem on polyhedra.

A representation polyhedron summarizing the topology of a large number of possible nets previously devised by Zen (M.A. 18-167) is extended from n + 3 unary to n + 6 phase unary systems. A general way for constructing n + 4 phase nets is outlined. With the technique described, 62 multisystems are recognized, of which 26 contain all 16 possible divariant fields and represent the most nearly complete closed nets possible for a binary six-phase (n + 4) multisystem.-M.S.