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The groups $G_{n}^{k}$ and $2n$-gon tilings

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arxiv 2401.15345 v3 pith:Z3KHS6MZ submitted 2024-01-27 math.GT

Vassily Olegovich Manturov , Seongjeong Kim This is my paper · ORCID
classification math.GT
keywords groupstilingsconfigurationscubesdimensionaldiscusselementsfour
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In the present paper we discuss four ways of looking at rhombile tilings: stacking 3-dimensional cubes, elements of groups, and configurations of lines and points.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Shear coordinates and braid invariants

    math.GT 2025-05 conditional novelty 5.0 of 10

    The paper constructs a braid invariant from shear-coordinate transformations applied to the edges of Delaunay triangulations.

  2. Octagon and tropical octagon yield braid invariants

    math.GT 2024-11 reject novelty 5.0 of 10

    Braids in the projective plane act on labels of a dual graph via the Desargues flip, and isotopic braids produce identical label transformations.

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