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Plane Geometry is about flat shapes like lines, circles and triangles , shapes that can be drawn on a piece of paper
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$ n $-Cats-in-a-Bed Problem: Picking $ n $ points in a given planar domain to maximize the s...
Let $ C $ be a connected and simply connected compact subset of the plane $ \mathbb{R}^{2} $. How can we pick $ n $ points, denoted $ x_{1},\ldots,x_{n} $, lying in $ C $ such that the total sum $ \di …