On the Odd Area of Planar Sets

Assaf Oren; Igor Pak; Rom Pinchasi

doi:10.1007/s00454-016-9768-4

On the Odd Area of Planar Sets

Assaf Oren, Igor Pak, Rom Pinchasi

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The main result in the paper is a construction of a simple (in fact, just a union of two squares) set T in the plane with the following property. For every (Formula presented.) there is a family (Formula presented.) of an odd number of translates of T such that the area of those points in the plane that belong to an odd number of sets in (Formula presented.) is smaller than (Formula presented.).

Original language	English
Pages (from-to)	715-724
Number of pages	10
Journal	Discrete and Computational Geometry
Volume	55
Issue number	3
DOIs	https://doi.org/10.1007/s00454-016-9768-4
State	Published - 1 Apr 2016

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1007/s00454-016-9768-4

Cite this

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AB - The main result in the paper is a construction of a simple (in fact, just a union of two squares) set T in the plane with the following property. For every (Formula presented.) there is a family (Formula presented.) of an odd number of translates of T such that the area of those points in the plane that belong to an odd number of sets in (Formula presented.) is smaller than (Formula presented.).

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On the Odd Area of Planar Sets

Abstract

All Science Journal Classification (ASJC) codes

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