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22 votes
1 answer
886 views

Happy ants never leave compact domain?

I am curious if the following seemingly simple question has an easy answer? Consider an ant population of $N$ ants that lives in $\mathbb R^2$. Each ant can be labeled by some coordinate $x\in \mathbb ...
Pritam Bemis's user avatar
11 votes
2 answers
455 views

Dodecahedral rolling distance

Let a dodecahedron sit on the plane, with one face's vertices on an origin-centered unit circle. Fix the orientation so that the edge whose indices are $(1,2)$ is horizontal. For any $p \in \mathbb{R}...
Joseph O'Rourke's user avatar