Another Ham Sandwich in the Plane
@article{Balitskiy2015AnotherHS, title={Another Ham Sandwich in the Plane}, author={Alexey Balitskiy and A. Garber and R. Karasev}, journal={Annals of Combinatorics}, year={2015}, volume={19}, pages={235-242} }
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.
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Illumination complexes, Δ-zonotopes, and the polyhedral curtain theorem
- Mathematics, Computer Science
- Comput. Geom.
- 2015
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