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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
2
votes
Unit triangles with vertices on circles
There seems to be an obvious geometric approach. Let T be the 3-torus, and take the smooth function F on it to $\mathbb{R}^3$ like this: use three angles on three given circles as the parameters on T, …
5
votes
Place of Analytic geometry in modern undergraduate curriculum
I guess one way to explain the situation is in terms of a pedagogic problem with geometry, that doesn't correspond to any professional-level problem with geometry.
As reading MO would convince peopl …
2
votes
Circles avoiding rational points of height $\le h$
A possible reformulation? If the equation of the circle is rational, then one rational point implies infinitely many. One sees that via lines of rational slope through the point, or the existence of a …
5
votes
Accepted
Simple definition of the Hausdorff measure using squared paper
The discussion at http://en.wikipedia.org/wiki/Box-counting_dimension (Minkowski–Bouligand dimension) seems fairly thorough.