Abstract
An isonemal fabric is a weaving in which the symmetry group is transitive on the strands. Its symmetry groups is a layer group. In this paper we determine the 21 possible layer groups which occur as symmetry groups of (2-way, 2-fold) periodic isonemal fabrics. In addition, utilizing the induced strand subgroup, we classify the fabrics into 42 symmetry types.
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Roth, R.L. The symmetry groups of periodic isonemal fabrics. Geom Dedicata 48, 191–210 (1993). https://doi.org/10.1007/BF01264067
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DOI: https://doi.org/10.1007/BF01264067