Rosettes from Op Art Patterns

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This Demonstration gives some examples of rosettes produced from various op art patterns. You can choose aspects of shape and symmetry with the functions and that depend on the complex parameters and (defined in the Details).

Contributed by: Izidor Hafner (January 2017)
Using work by: F. A. Farris
Open content licensed under CC BY-NC-SA


Snapshots


Details

The following results are relevant:

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 .

Pattern images are from [2].

References

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

[2] S. Jablan. "Modularity in Art." (Jan 5, 2017) www.mi.sanu.ac.rs/~jablans/d3.htm.



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