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Results tagged with euclidean-geometry
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user 75935
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.
45
votes
2
answers
3k
views
Can the fugitive escape?
A fugitive is surrounded by $N$ police officers, with the nearest one at distance $1$ away. The fugitive and the officers move alternatively.
In a fugitive move, the fugitive can travel no more than …
- 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