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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.
6
votes
Math puzzles for dinner
Suppose 100 ants are placed randomly (with random orientations) along a yard stick. Each ant walks at a pace of an inch a minute. Each time two ants meet, they instantaneously reverse direction, and i …
34
votes
Is it possible to capture a sphere in a knot?
I would try to "gift wrap" the sphere. Take the 1-skeleton of the octahedron,
and take an Eulerian path. Then make each vertex into a twist, and pull tight, so that it looks like the union of three o …
11
votes
Can I wrap a suitcase with hair ties
I shared this question with Michael Freedman who came up with a solution similar to Larsen’s and asked me to post on his behalf.
He made a physical realization too.
I’ll address Anton’s question of …
5
votes
Accepted
Wrapping a suitcase with large rotational symmetry
Edit: my previous answer was incorrect
No, this one you cannot do. If one had such an arrangement of circles in the solid torus inside $R^3$, and quotiented by a rotation, then by the equivariant Dehn …