Interactive lab

The flow follows the banana.

A grid of particles descends the colored potential into its curved valley. Adjust the bend, compare the two dynamics, and click the plot to release your own points.

Loading the Python engine…

Pyodide needs an internet connection on first load. The JavaScript rendering engine is already active.

Fb(x,y) = d(x,[0,1])² + [y + b(x − ½)²]²
0max √F
y : 2 → −2 x : −1 → 2
Click the plot to add a particle and compute its trajectory. valley F = 0

This page remains fully usable offline thanks to its JavaScript fallback engine. To run the Python kernel in the browser, Pyodide v314.0.2 must reach its official CDN on first load; serving this file over local HTTP is recommended.