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- W2969701906 abstract "This study addresses the problem of arriving at transitive perfect colorings of a symmetrical pattern {cal P} consisting of disjoint congruent symmetric motifs. The pattern {cal P} has local symmetries that are not necessarily contained in its global symmetry group G . The usual approach in color symmetry theory is to arrive at perfect colorings of {cal P} ignoring local symmetries and considering only elements of G . A framework is presented to systematically arrive at what Roth [ Geom. Dedicata (1984), 17 , 99–108] defined as a coordinated coloring of {cal P}, a coloring that is perfect and transitive under G , satisfying the condition that the coloring of a given motif is also perfect and transitive under its symmetry group. Moreover, in the coloring of {cal P}, the symmetry of {cal P} that is both a global and local symmetry, effects the same permutation of the colors used to color {cal P} and the corresponding motif, respectively." @default.
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- W2969701906 date "2019-08-23" @default.
- W2969701906 modified "2023-10-16" @default.
- W2969701906 title "Local and global color symmetries of a symmetrical pattern" @default.
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- W2969701906 doi "https://doi.org/10.1107/s2053273319008763" @default.
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