Convex Geometry

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3 domain-specific abstractions whose origin domain is Convex Geometry.

• Affine plank problem — The conjecture that planks covering a convex body have total relative width at least one.
• Convex hull — The smallest convex set containing a given set, equivalently all finite convex combinations of its points.
• Reuleaux polygon — A convex constant-width curve assembled from an odd number of equal-radius circular arcs, with each arc centered at an opposite vertex of its generating polygon.