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Results tagged with mg.metric-geometry
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user 7092
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
5
votes
Which unfoldings of the hypercube tile 3-space: How to check for isometric space-fillers?
For your first question, I haven't gone through all of the unfoldings, but the first one there clearly tiles space: it even tiles a 2-cell thick infinite plane (which can then be stacked to tile space …
- 1,951
1
vote
Geometric probabilistic problem on triangles on a plane
A bit too long for a comment, here's one suggestion: take $a\lt b\lt c$ and use $(0,0)$ and $(c,0)$ as two points of the triangle. The third point $(x,y)$ (taking $y\gt 0$ WLOG) can be found in whatev …
- 1,951
1
vote
A randomized version of straight-edge and compass construction
Fleshing out my comment slightly, here's a heuristic argument with a couple of blanks to be filled in that suggests that most points will be 'found' with probability $\lt 1$. For approximation purpose …
- 1,951