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arXiv:1512.03794math.MG

Infinite families of monohedral disk tilings

Joel Haddley, Stephen Worsley

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Abstract

This paper gives new solutions to the problem: 'Can we construct monohedral tilings of the disk such that a neighbourhood of the origin has trivial intersection with at least one tile?'

arXiv comments
This is a new version which defines the notation of a radially generated tiling and classifies such tilings
Journal reference
DOI
Subjects
math.MGMetric Geometry cs.CGComputational Geometry math.COCombinatorics

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  1. How Mathematicians Cut Cake 1 comment

    • Another interesting piece: equal pizza slices. http://www.popsci.com/cut-better-slice-pizza-with-math http://arxiv.org/pdf/1512.03794v1.pdf

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