Spiralling Bugs..Barely Converging! #mathvisualization #physics #geometry

Added: 2026-05-19

[00:00:00]Meet our three bugs on the corners of an equilateral triangle. They have one simple rule. They walk towards each other counterclockwise at constant speed. If they start walking, where will they meet if at all?

[00:00:12]Notice how they don't just walk along the edges. They immediately start to spiral inward. But why do they curve?

[00:00:19]Let's freeze it. Because bug A's target is constantly moving, its path continually cuts inside the shape. We can break this velocity into two simultaneous motions, falling in and spiraling around.

[00:00:33]These motions create a beautiful logarithmic spiral crashing at the centroid. Our bugs dance infinite number of rotations around the center, but reach it in a finite amount of time.

[00:00:45]Now, that is barely converging.