Cosmatesque Mosaic and Conformal Mapping

Year: 2023 Authors: Steve Pomerantz

Core claim

Traditional and modern Cosmatesque mosaic designs can be modeled through conformal maps of planar tilings.

Topics

Cosmatesque ornament, conformal mapping, mosaic patterns, planar tilings, watercolor design

Domains

complex analysis, conformal maps, Möbius transformation, planar geometry, mosaic, ornament, watercolor painting, architectural pattern

Methods

exponential map, Möbius transformation, power map, tiling transformation

Media

digital pattern diagrams, mosaic renderings, watercolor paintings

Source status

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