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Results tagged with mg.metric-geometry
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user 75935
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
9
votes
3
answers
598
views
The devil's playground
On the $\mathbb{R}^2$ plane, the devil has trapped the angel in an equilateral triangle of firewalls.
The devil
starts at the apex of the triangle.
can move at speed $1$ to leave a trajectory of fir …
- 2,591
19
votes
2
answers
1k
views
Intercept the missile
A stealth missile $M$ is launched from space station. You, at another space station far away, are trusted with the mission of intercepting $M$ using a single cruise missile $C$ at your disposal .
Yo …
- 2,591
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
8
votes
0
answers
274
views
The busy Star Guardian
On an infinite plane, the Prime Star has disintegrated into four constituent stars, the North Star, the South Star, the East Star and the West Star, each traveling at a constant speed of $1$ in their …
- 2,591
20
votes
3
answers
640
views
Escaping from infinitely many pursuers
The fugitive is at the origin. They move at a speed of $1$. There's a guard at $(i,j)$ for all $i,j\in \mathbb{Z}$ except the origin. A guard's speed is $\frac{1}{100}$. The fugitive and the guards mo …
- 2,591