The Lonely Runner Conjecture - Simulation and Explanation

Explore the intriguing Lonely Runner Conjecture in this 15-minute video from Let's Code Physics. Dive into the mathematical puzzle that's simple to understand and simulate, yet remains unproven. Learn how to set up the problem, implement G Curves, and create an animation loop to visualize the conjecture. Follow along as the video guides you through calculating distances, checking for lonely runners, and exploring extreme cases. Discover why this seemingly straightforward problem continues to challenge mathematicians, and gain insights into its implications for number theory and combinatorics.

Intro
Setting up the circle
Setting up the list
G Curves
The Lonely Variable
Step Size
Tmax
Lonely Line
Animation Loop
Rate Function
Update Runners Position
Check for Multiple Lonely Runners
Is Runner R Lonely
Calculating Distance
Distance Min
Update Record
Everyone Has Been Lonely
Extreme Case
Faster Speeds
Conclusion