Figure 2.

A geometric interpretation of the Information Deltas, as developed in [18]. (A) Consider functions where each variable has an alphabet size of three possible values. There are 19,683 possible functions $f(X,Y)$. If the variables X and Y are independent, these functions map onto 105 unique points (function families) within a plane in $\delta$-space. (B) Sample functions and their mappings onto $\delta$-space. Functions with a full pairwise dependence on X or Y map to opposite lower corners, whereas the fully synergistic XOR (i.e., the XOR-like ternary extension $XOR(X,Y)\equiv (X+Y)\mathrm{mod}3$) is mapped to the uppermost corner.