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math.GM2019
About quasiperiodic tilings, possessing five-fold symmetry
Alexander S. Prokhoda
A group-theoretical approach to the construction of quasiperiodic tilings of a Euclidean plane, possessing five-fold symmetry, is applied. Of the infinitely many of variants of qua…
math.MG2019
About discrete groups of symmetry of similarity of Euclidean space
Alexander S. Prokhoda
Starting from the classical results of Shubnikov and Zamorzayev, computer models of shapes are implemented, which allow to visualize the action of discrete subgroups of continuous…