A tri-colored Pythagorean tiling View 4

This classical tiling is created from a given right triangle.  An Euclidean plane is entirely covered with an infinity of squares, the sizes of which are  a  and  b:  the leg lengths of the given triangle.  On this drawing, every square element of the tiling, any tile has a slope equal to the ratio of sizes:  ^a / _b  =  tan 30°.  Thus a square pattern is indefinitely repeated horizontally and vertically:  see   <pattern id="pg"  in the source code.  How many methodical arrangements of colours for all tiles, it is a mathematical problem.