Single Comment

Gilman's introductory vocabulary words are essential and many of them appear already here: standard diagonal (sd), nonstandard diagonal(nd), colourbound, (hex-prism), switching, triangulate, symmetric pieces, bindings and their independence, divergent, co-prime, non-coprime. 
They are all here, so get a grasp of them here, and all the follow-up Gilmans fall into place. The ones least likely to be understood on rereading, I will take up over the next comments, since we cannot cover all of them, though Gilman tends to shorten definitions, thinking readers fully understand from the context. Hey, that's good professorial practice to anyone remembering the real intent of introductory lectures, to weed out the less interested and able. What would you say by way of explanation or example about any of the 10 or 11 terms above? Here's a helpful hint. Think of Gilman nomenclature of piece-types as nonessential but for entertainment mostly instead. Then everything else besides naming piece-types, i.e. all the other terms, becomes important CV analysis in Man & Beasts.