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A coloring of a planar semiregular tiling  is an assignment of a unique color to each tile of . If  G  is the symmetry group of , the coloring is said to be perfect if every element of  G  induces a permutation on the finite set of colors. If  is  k ‐valent, then a coloring of  with  k  colors is said to be precise if no two tiles of  sharing the same vertex have the same color. In this work, perfect precise colorings are obtained for some families of  k ‐valent semiregular tilings in the plane, where  k  ≤ 6.

Perfect precise colorings of plane semiregular tilings