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Frieze Functions

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This Demonstration makes use of the following table of recipes to create frieze functions, represented by series of the form , with complex coefficients . Let represent a half-turn, and perpendicular mirror symmetries, and a glide reflection along the axis.

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The functions used here are truncated to

,

according to the rules. For example, gives

and there would be four interior terms in the functions for and .

Only two copies of a unit cell are shown.

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Contributed by: Izidor Hafner (February 2016)
Open content licensed under CC BY-NC-SA

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The recipes are taken from [1, p. 59].

Reference

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

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