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Results tagged with puzzle
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user 75935
Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.
11
votes
0
answers
472
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. …
- 2,591
0
votes
0
answers
116
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." …
- 2,591
4
votes
2
answers
258
views
8
votes
0
answers
274
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. …
- 2,591
9
votes
The lion and the zebras
Zebras win for all $N$.
I didn't realize Lawrence's answer in the source is actually sound (or so I think, when I really took some time to read it through this morning). Below I basically adopt Lawre …
- 2,591
27
votes
1
answer
935
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 …
- 2,591