Existence of full-chord sets with O((log L)^{3/2}) Buffon discrepancy for convex bodies with piecewise C^2 boundary, plus Ω(log L) lower bound in the disk via Schmidt's theorem.
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Polylogarithmic Full-Chord Buffon Discrepancy
Existence of full-chord sets with O((log L)^{3/2}) Buffon discrepancy for convex bodies with piecewise C^2 boundary, plus Ω(log L) lower bound in the disk via Schmidt's theorem.