Publication

A Stability Theorem On Cube Tessellations

János Pach
2018
Journal paper

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.

Official source

https://infoscience.epfl.ch/record/266654?ln=en

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A Stability Theorem On Cube Tessellations

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Duality and bicrystals on infinite binary matrices

Duality and bicrystals on infinite binary matrices