On balancing two-slice portions of cake
arXiv:2607.05330
Abstract
After radial cuts of a circular cake, it is divided into slices. Call an adjacent pair of slices a portion. We exhibit an infinite sequence of cuts such that the ratio between the maximum and minimum sizes of a portion never exceeds 1.755. This improves on the trivial upper bound of 2, disproving a conjecture of Korsky.
arXiv comment3 pages