Frieze Functions

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.
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.

SNAPSHOTS

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DETAILS

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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