Factor Group Transformations on Escher Patterns

Year: 2005 Authors: Joshua Jacobs

Core claim

Any tiling expressible as a rectangle system can be transformed into a multiplicative factor group over the complex plane using an exponential map.

Topics

factor groups, complex plane, Escher tilings, exponential mapping

Domains

group theory, complex analysis, symmetry, tiling theory, M.C. Escher, tessellation, optical patterning, graphic design

Methods

exponential map, complex torus transformation, rectangle system tiling, MathMap GIMP Plug-In

Media

regular division drawings, Print Gallery, Path of Life prints, digital image transformations

Source status

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