Geodesic
Combinatorial theory of magic squares out of domino
Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 135-150 
V. E. Firstov. Combinatorial theory of magic squares out of domino. Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 135-150. http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a16/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The theory for building magic squares out of domino (MSD) is not made up yet. There are only separate examples of MSD which do not contain the algorithms of their building. The only monograph on the domino coverings in Russia doesn`t give any answer to this question. In this paper the total combinatorical theory and the algorithm of building and enumeration of MSD are created here.

[1] Boll U., Kokseter G., Matematicheskie esse i razvlecheniya, Mir, M., 1986 | MR

[2] Golomb S. V., Polimino, Mir, M., 1975 | Zbl

[3] Dmitry Chelkak, Stanislav Smirnov, “Discrete complex analysis on isoradial graphs”, Advances in Mathematics, 228:3 (2011), 1590–1830 | DOI | MR

[4] Firstov V. E., “Algebraicheskie interpretatsii domino i ikh prilozheniya”, Matematicheskoe modelirovanie fizicheskikh, ekonomicheskikh, tekhnicheskikh, sotsialnykh sistem i protsessov, Trudy 4-i mezhdunarodnoi nauchno-tekhnicheskoi konferentsii, UlGU, Ulyanovsk, 2001, 149–151

[5] Postnikov M. M., Magicheskie kvadraty, Nauka, M., 1964

[6] Riordan Dzh., Vvedenie v kombinatornyi analiz, IL, M., 1963

[7] Vilenkin N. Ya., Kombinatorika, Nauka, M., 1969 | MR | Zbl

[8] Firstov V. E., “Algebraicheskie struktury na mnozhestve magicheskikh matrits”, Matematika. Mekhanika, 4, Izd-vo Sarat. un-ta, Saratov, 2002, 147–149

[9] Kokster G. S., Vvedenie v geometriyu, Nauka, M., 1966 | MR