Crystallographic Properties of Local Groups of a Delone Set in a Euclidean Plane-Reference-Cited by-同舟云学术

Crystallographic Properties of Local Groups of a Delone Set in a Euclidean Plane

Published:2022-08 Issue:8 Volume:62 Page:1265-1274
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Dolbilin N. P.,Shtogrin M. I.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1134/S0965542522080048.pdf

Reference10 articles.

1. B. Delaunay, “Sur la sphere vide,” Izv. Akad. Nauk SSSR Otd. Mat. Estestv. Nauk 6, 793–800 (1934).

2. B. N. Delone, “Geometry of positive quadratic forms I,” Usp. Mat. Nauk 3, 16–62 (1937).

3. B. N. Delone, “Geometry of positive quadratic forms II,” Usp. Mat. Nauk 4, 102–164 (1938).

4. B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, and R. V. Galiulin, “A local criterion for the regularity of a system of points,” Sov. Math. Dokl. 17 (2), 319–322 (1976).

5. M. I. Shtogrin, “On the boundary of spider’s axis order in a locally regular Delone system,” Abstract of Papers, International Conference on Geometry, Topology, Algebra, and Number Theory, Applications Dedicated to the 120th Anniversary of the Birthday of Boris Nikolaevich Delone (1890–1980) (Moscow, August 16–20, 2010) (Steklov Math. Inst., Moscow, 2010), pp. 168–169.

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1. Delone Sets and Tilings: Local Approach;Proceedings of the Steklov Institute of Mathematics;2022-09

2. Множества и разбиения Делоне: локальный подход;Trudy Matematicheskogo Instituta imeni V.A. Steklova;2022-09