The Conformal Vega Disk

Year: 2011 Authors: Joel C. Langer

Core claim

Using the Jacobi elliptic sine function, one can render square-to-disk conformal tilings that produce Vega-like optical effects and reveal circle-square-cross relationships.

Topics

conformal mapping, optical art, square-to-disk transformation, tilings

Domains

complex analysis, elliptic functions, conformal geometry, hyperbolic geometry, op art, geometric design, visual patterning, digital illustration

Methods

Jacobi elliptic sine function, computer visualization, geometric mean construction, ruler-and-compass constructibility

Media

digital tile images, circle and square grids, quadrilateral rendering

Source status

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