Home▸Mathematics▸Sand Pile Model — Abelian Sandpile Cellular Automaton (2D)

⛰️ Sand Pile Model — Abelian Sandpile Cellular Automaton (2D)

Interactive 2D Canvas simulation of the Bak-Tang-Wiesenfeld abelian sandpile cellular automaton. Click to drop grains, watch toppling cascades and self-organised criticality avalanche statistics on an integer grid.

Mathematics2DEasy60 FPS📱 Mobile-adapted🌍 Earth ⇄ 3D version

⚙ Under the hood

A 2D Canvas simulation of the classic Bak-Tang-Wiesenfeld abelian sandpile: an integer grid where cells accumulate grains and topple once they reach a critical height, redistributing grains to their four neighbours. Click anywhere to trigger avalanches and watch self-organised criticality emerge as cascades of every size.

sandpilecellular-automatonself-organized-criticalityavalanchediscrete-mathabelian-group

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install