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

12 votes

How many random walk steps until the path self-intersects?

Here are some computational insights. I ran $N = 10^k$ simulations for $3 \leq k \leq 12$. For $N = 10^9$ I recorded some explicit instances and recorded which pairs intersected, as opposed to just t …
Luis Mendo's user avatar