FIG. 1 is a bottom plan view of a billiard shoe sole showing our new design;

FIG. 2 is a left side elevational view;

FIG. 3 is a front elevational view;

FIG. 4 is a top plan view;

FIG. 5 is a right side elevational view; and,

FIG. 6 is a rear elevational view.

The broken line showing of a shoe upper in FIGS. 2, 3, and 5 is for illustrative purposes only and forms no part of the claimed design.