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Search options questions only not deleted user 75935

Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.

11 votes
0 answers
498 views

Making perpetual motion machine from candy-sharing cats

Source & progress: I found the prototype of the puzzle in an obscure corner of the web, made some natural generalizations, and shared it on puzzling.stackexchange. …
Eric's user avatar
  • 2,619
0 votes
0 answers
152 views

100 mathematicians each have a numbers written on their foreheads

100 mathematicians each have a number written on their foreheads, visible to all but themself. One day, a meta-mathematician comes by and remarks, "I see all the numbers are distinct natural numbers." …
Eric's user avatar
  • 2,619
4 votes
2 answers
272 views

The mower's challenge

The puzzle was initially asked here. …
Eric's user avatar
  • 2,619
8 votes
0 answers
278 views

The busy Star Guardian

Note: I originally created this as a puzzle for the site puzzling.stackexchange.com, where an amazing solution with $g=10/3$ was found. It was conjectured that $g^*=3$, but no one could prove it. …
Eric's user avatar
  • 2,619
27 votes
1 answer
991 views

The lion and the zebras

The lion plays a deadly game against a group of $N$ zebras that takes place in the steppe (= an infinite plane). The lion starts in the origin with coordinates $(0,0)$, while the $N$ zebras may arbitr …
Eric's user avatar
  • 2,619