Whirling Tiles

Year: 2023 Authors: Ulrich Reitebuch; Martin Skrodzki; Henriette Lipschütz; Konrad Polthier

Core claim

A square-grid whirling-kite construction can be extended to two-colorable tilings to produce cyclic quadrilateral patterns and new ornamental arrangements.

Topics

Islamic geometric ornament, periodic tilings, pattern generalization, cyclic quadrilaterals

Domains

tiling theory, plane geometry, quadrilaterals, symmetry, Islamic art, ornament design, pattern making, paper craft

Methods

geometric construction, edge orientation, two-coloring, tiling transformation

Media

square grids, tilings, paper-crafted examples, line drawings

Source status

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