The authors extend orbifold notation to three dimensions and provide a complete set of symbols for classifying all layer groups, demonstrated on knitted fabric motifs.
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2 Pith papers cite this work. Polarity classification is still indexing.
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The Jacob's ladder toy's flipping waves are topological solitons from gravity-induced bistability, with kink-antikink coexistence allowed by the toy's floppiness and symmetry, unlike in the Kane-Lubensky chain, leading to observed pair annihilation.
citing papers explorer
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An Orbifold Framework for Classifying Layer Groups with an Application to Knitted Fabrics
The authors extend orbifold notation to three dimensions and provide a complete set of symbols for classifying all layer groups, demonstrated on knitted fabric motifs.
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Topological antiqued mechanical toy
The Jacob's ladder toy's flipping waves are topological solitons from gravity-induced bistability, with kink-antikink coexistence allowed by the toy's floppiness and symmetry, unlike in the Kane-Lubensky chain, leading to observed pair annihilation.