Geodesic
Anti-magic squares and their generalizations
Matematičeskoe obrazovanie, no. 3 (2021), pp. 21-35 
L. Steyngarts. Anti-magic squares and their generalizations. Matematičeskoe obrazovanie, no. 3 (2021), pp. 21-35. http://geodesic.mathdoc.fr/item/MO_2021_3_a3/
@article{MO_2021_3_a3,
     author = {L. Steyngarts},
     title = {Anti-magic squares and their generalizations},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {21--35},
     year = {2021},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2021_3_a3/}
}
TY  - JOUR
AU  - L. Steyngarts
TI  - Anti-magic squares and their generalizations
JO  - Matematičeskoe obrazovanie
PY  - 2021
SP  - 21
EP  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MO_2021_3_a3/
LA  - ru
ID  - MO_2021_3_a3
ER  - 
%0 Journal Article
%A L. Steyngarts
%T Anti-magic squares and their generalizations
%J Matematičeskoe obrazovanie
%D 2021
%P 21-35
%N 3
%U http://geodesic.mathdoc.fr/item/MO_2021_3_a3/
%G ru
%F MO_2021_3_a3

Voir la notice de l'article provenant de la source Math-Net.Ru

The concepts of anti-magic squares w.r.t. addition and multiplication, as well as anti-magic rectangles, are introduced. Some general and particular methods of their construction are given, various properties are studied, and a number of hypotheses are formulated. To be continued.

[1] I. Akulich, “Antimagicheskie kvadraty”, Fokus, 1994, no. 2

[2] Yu. Vanne, “Antimagicheskie kvadraty”, Repetitor, 1999, no. 3