01. John Conway's Legacy (1970)
Invented by British mathematician John Horton Conway and popularized by Martin Gardner in Scientific American, the Game of Life is a zero-player automaton. Its evolution is determined purely by its initial state.
• Underpopulation: Alive cell with < 2 neighbors dies.
• Survival: Alive cell with 2 or 3 neighbors lives to next generation.
• Overpopulation: Alive cell with > 3 neighbors dies.
• Reproduction: Dead cell with exactly 3 neighbors becomes alive.
02. Emergence & Turing Completeness
How do simple deterministic micro-rules generate gliders, self-replicating factories, and logical circuits? This phenomenon is emergence: macroscopic complexity arising from microscopic local interactions without any centralized conductor.
Conway's Game of Life is proven to be Turing-complete. With enough grid space and time, it can compute anything an Apple silicon chip, quantum algorithm, or supercomputer can compute!
03. Lotka-Volterra Ecosystems
In our Ecosystem Mode, biological dynamics model trophic cascades across three levels:
- Grass (Producers): Capture soil nutrients and solar energy.
- Sheep (Primary Consumers): Graze on grass to store metabolic energy and reproduce.
- Wolves (Apex Predators): Hunt sheep to stave off starvation.
Notice how the telemetry graph traces sinusoidal cycles: as prey explodes, predators flourish; as predators over-hunt, prey crashes, causing a subsequent predator die-off that allows grass and prey to rebound.
04. Keyboard Shortcuts & Pro Tips
SPACE : Play / Pause
S : Step 1 Frame
C : Clear Grid
R : Randomize
1 - 4 : Brush Select
E : Toggle Guide
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