Annals of Combinatorics

, Volume 19, Issue 2, pp 235–242 | Cite as

Another Ham Sandwich in the Plane

  • Alexey Balitskiy
  • Alexey Garber
  • Roman Karasev


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.


ham sandwich theorem 

Mathematics Subject Classification

52C35 60D05 


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Copyright information

© Springer Basel 2015

Authors and Affiliations

  • Alexey Balitskiy
    • 1
  • Alexey Garber
    • 2
  • Roman Karasev
    • 1
    • 3
  1. 1.Department of MathematicsMoscow Institute of Physics and TechnologyDolgoprudnyRussia
  2. 2.Department of MathematicsThe University of Texas at BrownsvilleBrownsvilleUSA
  3. 3.Institute for Information Transmission Problems RASMoscowRussia

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