Properties of Rosette Functions

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This Demonstration illustrates the following theorems:

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If, in the sum , we have unless , is a rosette function with -fold symmetry.

If, in the sum , we have unless , is a rosette function with -fold symmetry.

If, in the sum , we have , is a function with mirror symmetry.

The functions and are defined as and .

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


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Reference

[1] F. A. Farris, Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, Princeton: Princeton University Press, 2015 pp. 40–45.



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