Mathematical City

BUILD

Kinetic Contraction Lab

μ 1, 1

α 0.20 · k 0 · D₀ 102

Verified

Transport

k = 0 / 21

Iteration

0.200

Fractional movement toward μ. Zero freezes the flock; one collapses it in a single step.

Speed 2.4 steps/s

Tap the plate to place a point. Drag to move. Double-tap to remove.

D_k = 102

D_k = (1 − α)^2k D₀ · ratio 1

Verified

Geometric contraction only. Topological descent (Vietoris–Rips / Hodge / Betti) is a separate construction.

Space play · → step · R reset · Del remove