Particle Swarm Optimization - Personal greater than Social @MathDoctorMitchell

Uploaded August 2025 | Updated September 2026, 1 hour ago

This animation, created using MATLAB, illustrates the personal memory of each particle (red) by weighting its coefficient heavier than the social coefficient for acceleration.

The viewer can see how each particle "feels torn" between moving towards its PERSONAL best cost (green) but also towards the global best cost (blue) by SOCIAL communication.

Particle Swarm Optimization - Personal greater than Social

Chaos Game with 26 Vertices #mathematics

Chase Your Favorite Particle While Bumping into Each Other

$Fractals Produced by Varying p on the Chaos Game with 26 Vertices This animation, created using MATLAB, illustrates the resulting stable attractor generated by the Chaos Game with varying proportions p = 0 to p = 0.1. The self-similarity of the fractal is shown in the zoomed-in windows on the right. Research question: What is the precise proportion at which the 26-gons will intersect?$

Hyperbolic Mirror and its reflective properties

Parabolic mirror - parallel light rays. #mathematics

Stereographic Projection - USA - Sphere to Floor