The author is thrilled to unveil an interactive visualization using WebGPU that explores the intricate mathematics found in “Indra’s Pearls: The Vision of Felix Klein” by David Mumford, Caroline Series, and David Wright. The visualization showcases the mesmerizing patterns created by Möbius transformations on the complex plane, as discovered by Felix Klein. The content delves into the use of circles as seed elements in tessellating the entire plane through elaborate transformations. It also touches on Limit Sets, showcasing unique shapes like the Apollonian Gasket. The implementation involves using WebGPU and WGSL for shading programming to bring these mathematical concepts to life visually. The project provides an innovative way to engage with complex mathematical structures.
https://medium.com/@philogb/exploring-indras-pearls-with-webgpu-e0f4a745c2f6