No Tiling of the 70x70 Square with Consecutive Squares
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10491726" target="_blank" >RIV/00216208:11320/24:10491726 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.4230/LIPIcs.FUN.2024.28" target="_blank" >https://doi.org/10.4230/LIPIcs.FUN.2024.28</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4230/LIPIcs.FUN.2024.28" target="_blank" >10.4230/LIPIcs.FUN.2024.28</a>
Alternative languages
Result language
angličtina
Original language name
No Tiling of the 70x70 Square with Consecutive Squares
Original language description
The total area of the 24 squares of sizes 1, 2, . . ., 24 is equal to the area of the 70 x 70 square. Can this equation be demonstrated by a tiling of the 70 x 70 square with the 24 squares of sizes 1, 2, . . ., 24? The answer is "NO", no such tiling exists. This has been demonstrated by computer search. However, until now, no proof without use of computer was given. We fill this gap and give a complete combinatorial proof. (C) Jiří Sgall, János Balogh, József Békési, György Dósa, Lars Magnus Hvattum, and Zsolt Tuza.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA24-10306S" target="_blank" >GA24-10306S: New challenges in streaming, online, and combinatorial algorithms</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Leibniz International Proceedings in Informatics, LIPIcs
ISBN
978-3-95977-314-0
ISSN
1868-8969
e-ISSN
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Number of pages
16
Pages from-to
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Publisher name
Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Place of publication
Germany
Event location
Sardinia
Event date
Jun 4, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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