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This question continues from: Cutting convex regions into equal diameter and equal least width pieces Definitions: The diameter of a convex region is the greatest distance between any pair of points ...

This post is related to Smallest 3-ellipses that contain triangles and tries to clarify a basic issue. Question: Given a general triangle T, How does one find and characterize the ellipse of least ...

This question is related to my previous posting Angle subtended by the shortest segment that bisects the area of a convex polygon Let $C$ be a convex region in the plane and let $s$ be the shortest ...

Question: Given an $N$-vertex polygon (not necessarily convex). It is to be cut into the least number of acute isosceles triangles. Based on this MathSE discussion, one can think of a method to get $\...

This is based on Chapter 6 of 'Convex figures' by Yaglom and Boltyanskii. This post also continues On two centers of convex regions. A point $P$ in the interior of a planar convex region $C$ divides ...