Rosettes from Op Art Patterns

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).


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


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].
[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.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+