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How (Not) to Cut Your Cheese

Bárány, I; Frankl, P; (2021) How (Not) to Cut Your Cheese. The American Mathematical Monthly , 128 (6) pp. 543-552. 10.1080/00029890.2021.1901463.

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Abstract

It is well known that a line can intersect at most 2n−1 unit squares of the n × n chessboard. Here we consider the three-dimensional version: how many unit cubes of the 3-dimensional cube [0,n]3 can a hyperplane intersect?

Type: Article
Title: How (Not) to Cut Your Cheese
DOI: 10.1080/00029890.2021.1901463
Publisher version: https://doi.org/10.1080/00029890.2021.1901463
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10130253
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