Mathematical and Physical Intuition
-
November 17, 2025
Mandelbrot and Julia Set Parameter Explorer — Dynamic Fractal Simulation and Fibonacci Structures
This Desmos-based exploration turns Mandelbrot and Julia set parameters into movable points, revealing convergence, divergence, Julia connectivity, and Fibonacci-related bulb structures along the boundary.
-
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...