# Threefold Color-Turning Wallpaper Functions

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This Demonstration illustrates threefold color-turning wallpaper functions using complex functions in Fourier series of the form , where are color-turning waves, and are called lattice waves.

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Contributed by: Izidor Hafner (April 2016)

Based on work by: Frank A. Farris

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The term "color-turning" refers to an -fold rotational symmetry of a figure, in which each successive image is colored differently [1].

We use the following recipes [1, pp. 131–140].

Reference

[1] F. A. Farris, *Creating Symmetry: The Artful Mathematics of Wallpaper Patterns*, Princeton: Princeton University Press, 2015.

## Permanent Citation