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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, …
Charles Matthews's user avatar
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 …
Charles Matthews's user avatar
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 …
Charles Matthews's user avatar
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.
Charles Matthews's user avatar