Vladimir Alexandrovich Koptsik (; 26February 1924 â 2April 2005) was a Soviet crystallographer and physicist. In 1966 Koptsik was the first to publish the complete atlas of all 1651 antisymmetry space groups. In 1972 he published Symmetry in Science and Art with extensive coverage of dichromatic and polychromatic symmetry.
Koptsik was born on 26 February 1924 in Ivanovo. In 1941-1944 he worked as a turner in a defence plant in Moscow. Koptsik graduated from Moscow State University in 1949. He then began post-graduate work under the supervision of A.V. Shubnikov and submitted his candidate's dissertation in 1953.
In 1953 Koptsik was hired as an assistant to Shubnikov in the new department of Crystallography and Crystal Physics at MSU. He progressed through various positions, earning his doctorate in 1963, becoming full professor in 1967, and head of department from 1968 to 1974 succeeding Shubnikov.
Koptsik is known for his contributions to the physics of electrically and magnetically ordered crystals, the tensor representation of anisotropic media, the theory of crystal symmetry, and the symmetry aspects of structural phase transitions.
From 1966 Koptsik was a member of the Committee on International Crystallographic Tables of the International Union of Crystallography (IUCr); in 1983 he became a member of the subcommittee on nomenclature of n-dimensional crystallography.
The majority of Koptsik's works were published in Russian. Books published by Koptsik:
Koptsik published 300 academic papers. Selected papers available in English: