Another ham sandwich in the plane
Metric Geometry
2015-10-02 v3
Abstract
We show that every two nice measures in the plane can be partitioned into equal halves by translation of an angle from arbitrary k-fan when k is odd and in some cases when k is even. We also give some counterexamples for certain fans and measures.
Cite
@article{arxiv.1307.7698,
title = {Another ham sandwich in the plane},
author = {Alexey Balitskiy and Alexey Garber and Roman Karasev},
journal= {arXiv preprint arXiv:1307.7698},
year = {2015}
}
Comments
7 pages, 4 figures