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Ways to Visualize Wallpaper Functions

We have tried many ways of visualizing wallpaper functions without exhausting all possibilities. We begin by outlining various ways to picture real-valued functions in the plane [Link]. These were the first ones we investigated.

When the construction method presented us with complex-valued functions, we devised a way to visualize these [Skip]. This technique, utilizing the artist's color wheel to color the complex plane, led to a new methodology useful in complex variables [Off-site Link].

The possibility of visualizing complex-valued wallpaper functions suggested that we consider an algebraic generalization of negating isometries, leading us to color-turning wallpapers [Skip].

[Next] Real-valued Wallpaper Functions
[Skip] The Wallpaper Vibrates
[Up] Table of contents
[Prev] Why there are 63 Types

Communications in Visual Mathematics, vol 1, no 1, August 1998.
Copyright © 1998, The Mathematical Association of America. All rights reserved.
Created: 08 Jul 1998 --- Last modified: Sep 30, 2003 4:18:46 PM
Comments to: CVM@maa.org