Life On Sol

Life on Sol

Life on Sol is a project inspired by Conway's Game of Life, bringing this classic cellular automaton to the Solana blockchain ecosystem with real-time token data integration.

What is the Game of Life?

The Game of Life is a cellular automaton created by the British mathematician John Horton Conway in 1970. It's a simulation system that evolves according to simple rules but produces complex and unpredictable behaviors.

The game takes place on an infinite grid of square cells, each of which can be in one of two states: alive or dead. At each generation, the state of each cell evolves according to the following rules:

• Birth: A dead cell with exactly 3 living neighbors becomes alive
• Survival: A living cell with 2 or 3 living neighbors stays alive
• Death by underpopulation: A living cell with fewer than 2 neighbors dies
• Death by overpopulation: A living cell with more than 3 neighbors dies

Mathematical Properties

The Game of Life has fascinating mathematical properties:

• Computational universality: Can simulate any Turing machine
• Cellular automata equivalence: Equivalent complexity class
• Halting problem: Undecidable for certain configurations
• Energy conservation: Certain quantities remain constant