The N-Bug Problem

The N-Bug Problem is a mathematical curiosity that explores the motion of bugs chasing each other. In the classic 4-Bug Problem:

• Four bugs start at the corners of a square.
• Each bug moves at a constant speed, always heading directly towards the next bug clockwise.
• As they move, they trace spiral paths, forming a shrinking, rotating square.

This animation generalizes the problem to N bugs, starting on the vertices of a regular N-gon. Watch as they create mesmerizing patterns in their endless chase!