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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

8 votes

Soft question: mathematics about truchet tiles

To answer your question 3: Indeed, in statistical mechanics such a model is known as a "loop model". In general an "O(n) loop model" (this is not the place to rant on why this is a misnomer especial …
Paul Zinn-Justin's user avatar