Rosettes from Photos

This Demonstration gives some examples of rosettes produced from photos. You can choose aspects of shape and symmetry with the functions and , with the complex parameters and , defined in the Details.

SNAPSHOTS

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DETAILS

The following results are valid:
If, in the sum , unless , is a rosette function with -fold symmetry.
If, in the sum , unless , is a rosette function with -fold symmetry.
If, in the sum , , is a function with mirror symmetry.
The functions (cyclic) and (dihedral) are defined by and .
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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