Dissecting the square into five congruent parts

Liping Yuan; Carol T. Zamfirescu; Tudor I. Zamfirescu

doi:10.1016/j.disc.2015.08.009

Dissecting the square into five congruent parts

Liping Yuan
, Carol T. Zamfirescu
, Tudor I. Zamfirescu

Hebei Normal University
Ghent University
Dept Appl Math Comp Sci & Stat
Dortmund University of Technology
Institute of Mathematics of the Romanian Academy

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

6 Citations (Scopus)

Abstract

Original language	English
Pages (from-to)	288-298
Number of pages	11
Journal	Discrete Mathematics
Volume	339
Issue number	1
DOIs	https://doi.org/10.1016/j.disc.2015.08.009
Publication status	Published - 6 Jan 2016
Externally published	Yes

Keywords

Dissection
Five
Square

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10.1016/j.disc.2015.08.009

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title = "Dissecting the square into five congruent parts",

abstract = "We give an affirmative answer to an old conjecture proposed by Ludwig Danzer: there is a unique dissection of the square into five congruent convex tiles. (C) 2015 Elsevier B.V. All rights reserved.",

keywords = "Dissection, Five, Square",

author = "Liping Yuan and Zamfirescu, \{Carol T.\} and Zamfirescu, \{Tudor I.\}",

year = "2016",

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language = "English",

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AU - Zamfirescu, Tudor I.

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N2 - We give an affirmative answer to an old conjecture proposed by Ludwig Danzer: there is a unique dissection of the square into five congruent convex tiles. (C) 2015 Elsevier B.V. All rights reserved.

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KW - Dissection

KW - Five

KW - Square

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JO - Discrete Mathematics

JF - Discrete Mathematics

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Dissecting the square into five congruent parts

Abstract

Keywords

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