Another Ham Sandwich in the Plane
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We show that every two nice measures in the plane can be partitioned into equal halves by translation of an angle from any k-fan when k is odd and in some cases when k is even. We also give some counterexamples for certain fans and measures.
Keywordsham sandwich theorem
Mathematics Subject Classification52C35 60D05
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- 3.Živaljević, R.: Illumination complexes, Δ-zonotopes, and the polyhedral curtain theorem. Comput. Geom. 48(3), 225–236 (2015)Google Scholar