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K´ aroly B¨ or¨ oczky Jr,Approximation of general smooth convex bodies, Advances in Mathematics 153 ( · 2000

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Approximation Depth of Convex Polytopes

math.MG · 2025-07-10 · accept · novelty 8.0

For every depth d below the exact depth of the n-simplex, every depth-d polytope misses the simplex by an empty-corner distance of exactly n+1-2^d.

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  • Approximation Depth of Convex Polytopes math.MG · 2025-07-10 · accept · none · ref 4

    For every depth d below the exact depth of the n-simplex, every depth-d polytope misses the simplex by an empty-corner distance of exactly n+1-2^d.