Quadrilateral Spiral Tilings and Escheresque Art

Year: 2021 Authors: Chirag Mehta

Core claim

A quadrilateral spiral can be parameterized so its clockwise and counter-clockwise arms meet exactly, enabling new spiral tilings and art based on irregular quadrilaterals.

Topics

quadrilateral spirals, Escheresque tessellations, plane symmetry groups, spiral tiling

Domains

geometry, tessellation theory, plane symmetry groups, coordinate equations, mathematical art, graphic design, pattern design, Escher-inspired art

Methods

algebraic derivation, parameter solving, geometric construction, Desmos visualization

Media

quadrilateral motifs, Desmos graphing calculator, digital illustrations, spiral tiling diagrams

Source status

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