Advanced Search

Question: A task by Wilhelm Blaschke (1885-1962)

Question:A task by Wilhelm Blaschke (1885-1962)

Alfred_F 325 Maple
differential-geometry
April 05 2025
1

Thanks for the help with the recursion problem, here's a very challenging problem for the weekend ;-). It should be solvable in Maple, at least for examples. I only know of one very theoretical, unfinished solution that I'm still working on:
Given a closed convex curve in the Euclidean plane. It is multiply continuously differentiable, and the curvature is also continuous.
Then there are at least three pairs of points on the curve with the following property:
The tangents at the points of each pair are parallel to each other, and the curvatures are equal.
Please Wait...