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A STABILITY THEOREM ON CUBE TESSELLATIONS

Frankl, Peter and Pach, János (2018) A STABILITY THEOREM ON CUBE TESSELLATIONS. JOURNAL OF COMPUTATIONAL GEOMETRY, 9 (1). pp. 387-390. ISSN 1920-180X

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Abstract

It is shown that if a d-dimensional cube is decomposed into n cubes, the side lengths of which belong to the interval (1 - n1/d+1; 1], then n is a perfect d-th power and all cubes are of the same size. This result is essentially tight.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 19 Oct 2019 04:43
Last Modified: 20 Apr 2023 08:56
URI: http://real.mtak.hu/id/eprint/102421

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