Mathematical and Physical Intuition
-
October 8, 2025
3D Visualization of Julia Set — Dimensional Folding and Structural Analysis
This work explores the idea that if the Mandelbrot set can be shown in 3D, the Julia set can too.
Using Desmos 3D and a folded complex–quaternion structure, Reiji manually built iterative mappings to visualize the Julia set’s three-dimensional form.
-
May 25, 2025
Wave Decay and Considerations Through Limits
This record explores the phenomenon of wave decay from a mathematical perspective. While watching ripples in a bathtub, Reiji began pondering: “What happens to a wave as time approaches infinity?” From this question, he analyzed...