SMOOTHLIFE CONTINUOUS CA
Rafler's continuous space-time generalization of Conway's Life yielding organic amoeba structures.
SMOOTHLIFE CONTINUOUS
TIME STEP (dt) 0.15
[Click & drag to paint continuous cellular mass]
π
ACADEMIC & ALGORITHMIC REFERENCERESEARCH & LEARNING VAULT // Stephan Rafler's SmoothLife
Continuous space, continuous time, and continuous state generalization of Conway's Life.
// HISTORICAL ORIGINS
Formulated by German physicist Stephan Rafler in 2011, replacing discrete cellular grids with continuous circular spatial integrals and sigmoid transition functions.
// GOVERNING EQUATIONS
S(n, m) = \sigma_2(n, \sigma_1(m, 0.5, \alpha_m)(b_1 - d_1) + d_1, \dots, \alpha_n)// BROWSER IMPLEMENTATION
Calculates inner and outer concentric ring integrals at each pixel, computing differential state derivatives via smooth logistic functions.
// GUIDED EXPERIMENTS TO TRY IN THIS SANDBOX
1Self-Repairing Glider Organism
π― Action:Select 'Smooth Glider' and paint a small hole through its center.
β¨ Observe:Watch the elastic outer membrane dynamically heal itself and resume swimming forward.