Square roots and signs, In lines of code, they intertwine. Particles dance in deterministic lines, Mapping x to y, across space and time.

Parameters set, a trio in hand, Each particle follows a secret command. Ny from x is subtracted and grown, Nx takes a root, its essence is shown.

In a canvas broad, they draw and weave, A tale of motion you almost believe. Though algorithms their fates control, A universe in code, with math as its soul.

Wait 20 seconds, let the screen unveil.