Drum Modes Highlighted @MathDoctorMitchell

Uploaded June 2025 | Updated September 2026, 1 hour ago

Here's a better version of the previous "Modes of a Circular Membrane" video. This one highlights each one with a bit more clarity.

Swarming Behaviors - Random Movement and Inertia

Particle Swarm Optimization (level 0) and Steepest Descent Algorithms

Introduce the dejong5 Function (Optimization Algorithms)

What is a Function of 2 Variables? Slanted Plane Example

Particle Swarm Optimization - Large Inertial Coefficient

$Fractals Produced by Varying p on the Chaos Game with 6 Vertices This animation, created using MATLAB, illustrates the fractal generated by the Chaos Game by varying the value of the coefficient, p. When p is small, the next point (iterate) is close to the selected vertex since (1-p) is relatively large. The self-similarity of the fractals is shown in the zoomed-in windows on the right. In the case of 6 vertices, it appears as if the hexagon tips intersect when p=1/3. I have not confirmed this. Just a conjecture. What is the threshold for p for other shapes?$

Hyperbolic mirror rotating about focal point. #mathematics

Modes of a Circular Membrane - Combined Pairs

Chase Favorite Fish in 3D 50 Fish bumping into each other