Uniform edge-cc-colorings of the Archimedean tilings

In the book Tilings and Patterns   by B. Grünbaum and G.S. Shephard (p. 108, or Exercise 2.9.2(d)), the problem of classifying the uniform edge-cc-colorings of Archimedean tilings of the Euclidean plane is posed. This article provides such a classification.