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Fakultät für Mathematik
Fakultät für Mathematik
Holger Langenau: Squaring the square -- New methods for determining the number of perfect square packings

Holger Langenau: Squaring the square -- New methods for determining the number of perfect square packings


Author(s):
Holger Langenau
Title:
Holger Langenau: Squaring the square -- New methods for determining the number of perfect square packings
Electronic source:
application/pdf
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 07, 2017
Mathematics Subject Classification:
    52C15 []
    05B40 []
    90C35 []
Abstract:
Given a square with integer side length n, we ask for the number of different ways to divide it into sub-squares, considering only the list of parts. We enumerate all possible lists and check whether a placement with those squares is possible. In order to do this, we propose a new algorithm for creating perfect square packings.
Keywords:
Square, Packing, Partition, Backtracking
Language:
English
Publication time:
01/2018

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