A few lesson plans exist for teaching visual arts and self-similarity (objects that have the same pattern) that could be used after showing this lesson.has some free lesson plans for students in grades 4 through 8. High school students can learn recursion algorithms tousing Scratch for free. Educational technologisthas also written aboutA beautiful app worth checking out isby media artist. Download it to your tablet and create your own version of Starry Night. Finally, don’t forget to check out TED-Ed’s originalCan you solve the case?Really interested in mathematics? If you live in the New York-area, visit thefor more on math and visual arts.Turbulence, unlike painting, is mostly a time-dependent phenomenon, and after some time, breaks statistical self-similarity that Kolmogorov predicted in the 1960s. To learn more about Kolmogorov’s predictions, Terry Tao provides a great overview ofIn fluid mechanics, since we can't often solve the equation for flow patterns, we develop a system of scaling between the physical properties. This is called dimensional analysis. Want to find out more about the five-thirds law that the video references? Scroll through this website and learnThere are a few articles that outline patterns of turbulence in Van Gogh’s Starry Night.by Philip Ball (p. 164-178) provides an excellent overview of the concept for a broad audience. Nature featured this article: Van Gogh painted perfect turbulence . Discover Magazine in 2006 featured another article on this topic called A Turbulent Mind . Learn how accurate Van Gogh’s turbulence was in his paintings. Finally, this article entitled: Troubled Mind and Perfect Turbulence , gives a great description of several of Van Gogh’s paintings. It also discusses how the impact of the painting on the viewer was measured using the concept of luminosity.Acknowledgementswould like to thank those who helped contribute their feedback to the script of this piece at, and, and, including Chris Antonsen,, Likith Govindaiah,, Carolyn Meldgin, Aaron Williams, and her students and colleagues.