GaussianPeriods 4+

Create beautiful mathematical images. First used by Gauss to solve geometry problems, Gaussian periods were recently discovered to have striking visual properties.

This app produces beautiful mathematical images. Everyone from novices to experts can use this app, whether purely for fun or for exploratory analysis. In response to a parameters input by the user, the app plots Gaussian periods, certain complex numbers that play important roles in mathematics. The app enables you to view them at large scale, even plotting millions of points. You indicate parameters defining the Gaussian periods, as well as additional data, namely parameters for color and the size of the points to be plotted. You have the option to download the image (as a 2, 4, or 8k png) or to download distinct layers to produce customized, aesthetically pleasing images, for example in Adobe Photoshop. For more information, see A Gallery of Gaussian Periods, by E. E. Eischen and S. R. Garcia, as well as the information at http://www.elleneischen.com/gaussianperiods.html