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Results tagged with puzzle
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user 126667
Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.
6
votes
The ants-on-a-ball problem
I want to use the hairy ball theorem in the following way. Assume for simplicity that we start at time 0 and each ant returns to its original location at time 1. Suppose no two ants ever meet; then …
- 25.2k
18
votes
Is it possible to capture a sphere in a knot?
The regular dodecahedron is not a local minimum for total edge length either. Consider the five vertices Vi, i = 1, ..., 5 of a face together with the "center" C of the face. The spherical triangle …
- 25.2k