Abstract
Welcome to three new puzzles. Solutions to the first two will be published next month; the third is (as yet) unsolved. In each, the issue is how your intuition matches up with the mathematics.
Index Terms
- Puzzled: Figures on a plane
Recommendations
Puzzled: Solutions and sources
Last month (Nov. 2011, p. 120) we posted a trio of brainteasers, including one as yet famously unsolved, concerning distances between points on the plane. Here, we offer solutions to two of them. How did you do?
Aperture-Angle and Hausdorff-Approximation of Convex Figures
The aperture angleź(x,Q) of a point xźQ in the plane with respect to a convex polygon Q is the angle of the smallest cone with apex x that contains Q. The aperture angle approximation error of a compact convex set C in the plane with respect to an ...
Aperture-Angle and Hausdorff-Approximation of Convex Figures
The aperture angle α(x,Q) of a point x ∉ Q in the plane with respect to a convex polygon Q is the angle of the smallest cone with apex x that contains Q. The aperture angle approximation error of a compact convex set C in the plane with respect to an ...
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