Treffer: Magic p-dimensional cubes: Magic \(p\)-dimensional cubes

Title:
Magic p-dimensional cubes: Magic \(p\)-dimensional cubes
Authors:
Marián Trenkler
Source:
Acta Arithmetica. 96:361-364
Publisher Information:
Institute of Mathematics, Polish Academy of Sciences, 2001.
Publication Year:
2001
Subject Terms:
Other combinatorial number theory, Orthogonal arrays, Latin squares, Room squares, 0102 computer and information sciences, 0101 mathematics, Elementary number theory, 01 natural sciences, magic cubes
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1730-6264
0065-1036
DOI:
10.4064/aa96-4-5
Access URL:
https://www.impan.pl/shop/publication/transaction/download/product/83920?download.pdf
https://zbmath.org/1548966
https://doi.org/10.4064/aa96-4-5
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-aa96-4-5
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/96/4/83920/magic-p-dimensional-cubes
https://ui.adsabs.harvard.edu/abs/2001AcAri..96..361T/abstract
http://ui.adsabs.harvard.edu/abs/2001AcAri..96..361T/abstract
http://journals.impan.pl/cgi-bin/doi?aa96-4-5
Accession Number:
edsair.doi.dedup.....1a0a4db9eb1fa01040d5dd43c529568f
Database:
OpenAIRE

Weitere Informationen

It is natural that a \(p\)-dimensional \(n\)-cube matrix whose entries are the integers \(1,2,\ldots,n^p\) is called a magic \(p\)-dimensional cube of order \(n\) if the sum of the numbers along every row and every diagonal is the same. The author proves that a magic \(p\)-dimensional cube of order \(n\) exists if and only if \(p \geq 2\) and \(n \neq 2\) or \(p=1\). For an erratum see ibid. 191, No. 1, 95--100 (2019; Zbl 1437.11040).