Self-Similar Quadrilateral Tilings and Deployable Scissor Grids

Year: 2022 Authors: Henry Segerman; Kyle VanDeventer

Core claim

Deployable self-similar scissor grids occur if and only if their quadrilateral tiles are cyclic or parallelograms.

Topics

self-similar tilings, deployable linkages, quadrilateral geometry, scissor grids

Domains

Euclidean geometry, quadrilateral similarity, cyclic quadrilaterals, linear recurrences, kinematic sculpture, deployable architecture, geometric design

Methods

constructive proof, recurrence analysis, law of cosines, case equivalence

Media

scissor linkages, quadrilateral tilings, figures and diagrams

Source status

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