Turing Utopia Experiment

中文 | English

Built upon Conway's Game of Life, referencing the Utopia Experiment, and studying the butterfly effect, the project simulates and predicts non-living phenomena. It explores significant outcomes of minor changes and employs cellular automata, complex network models, and machine learning to provide new perspectives on future societal development.

Core | Kernels

"Life Game" is a two-dimensional grid world, and each grid can be in two states: "alive" or "dead". The rules of the game are as follows:

Each living cell is surrounded by eight adjacent grids.
If a living cell is surrounded by 2 or 3 living cells, the cell will continue to survive in the next generation.
If a living cell is surrounded by 0 or 1 living cells, the cell will die in the next generation.
If a dead cell is surrounded by 3 living cells, the cell will be resurrected in the next generation.
The initial state of the game is randomly generated. The game will continue to iterate according to the above rules until all cells die or reach a stable state.

The concept of life cycle:

Birth: If there are exactly three live grids around a dead grid, the grid will become a live grid at the next moment.
Survival: If a live grid is surrounded by 2 or 3 live grids, the grid will remain alive at the next moment.
Death: If there are less than 2 or more than 3 living cells around a live cell, the cell will become a dead cell at the next moment.
Permanence: If there are no live cells around a dead cell, the cell will remain dead at the next moment.

Features:

Simple rules: The rules of the game of life are very simple, only four.
Complex behavior: Despite its simple rules, the Game of Life can produce very complex behaviors, including stable structures, oscillators, gliders and even complex structures resembling living organisms.
Universality: The Game of Life can be used to simulate various natural phenomena, such as cell division, biological growth, population migration, etc.

Demo

Input (random seed):

---------- Seed life matrix (initial seed) (20, 20)=400 ----------
[1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1]
[0 1 1 1 1 0 1 1 0 1 0 0 0 1 1 1 0 1 0 0]
[1 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0]
[1 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0]
[0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1]
[1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0]
[0 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1]
[1 1 1 0 0 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1]
[1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0]
[0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0]
[1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0]
[1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 0]
[1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1]
[1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1]
[0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1]
[1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0]
[0 0 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 1]
[1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0]
[1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1]
[0 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 1]
-------------------------------------------------- ----

Review:

---------- Neighbor number matrix (20, 20)=400 ----------
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 7 7 7 6 5 4 3 4 4 4 3 4 6 8 7 5 4 4 3]
[0 5 6 6 5 4 5 5 5 5 6 4 5 6 8 5 3 2 2 1]
[0 5 6 6 5 4 4 5 4 6 6 6 6 7 8 6 3 2 2 2]
[0 5 6 6 5 5 6 8 7 8 6 6 6 8 7 6 4 4 3 2]
[0 6 7 7 5 6 6 7 6 6 4 4 4 6 6 7 7 7 6 4]
[0 7 6 5 3 5 7 8 8 7 5 3 2 4 4 6 7 8 7 4]
[0 7 6 5 2 4 6 8 8 6 5 3 3 3 4 6 8 8 7 4]
[0 6 6 5 3 4 7 8 8 7 7 6 6 6 5 5 6 7 6 3]
[0 6 7 6 5 5 7 7 6 6 7 8 8 6 5 5 6 7 5 3]
[0 6 6 5 5 6 6 5 3 5 6 8 6 6 4 5 4 6 4 3]
[0 7 5 3 3 5 4 4 2 5 6 7 5 4 4 6 5 5 3 3]
[0 7 4 2 2 4 4 4 4 5 5 4 3 4 5 6 5 4 4 3]
[0 6 4 2 2 4 6 6 6 5 5 4 4 4 5 6 5 3 4 3]
[0 6 5 3 3 4 6 7 7 5 3 2 2 4 4 6 4 3 3 2]
[0 3 4 3 4 5 6 7 6 6 4 3 2 4 3 6 3 4 3 3]
[0 4 5 5 6 6 6 6 6 6 5 3 3 4 3 4 2 4 3 3]
[0 5 6 6 7 6 7 6 6 6 5 5 5 5 4 3 2 4 5 5]
[0 6 7 7 7 6 7 7 7 6 5 5 5 4 3 2 2 4 5 5]
[0 4 5 4 4 3 4 5 5 5 3 3 2 2 2 2 2 3 4 4]
----------------------------------------

After a trial:

The 1st Evolution:
Deaths: 205 Lives: 24 Births: 31 Final Life Units: 55
---------- New life matrix (20, 20)=400 ----------
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1]
[0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1]
[0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1]
[0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0]
[0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0]
----------------------------------------

Final output:

The 15th Evolution:
Death: 0 Survival: 12 Birth: 0 Final life units: 12
---------- New life matrix (20, 20)=400 ----------
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0]
----------------------------------------
After 15 evolutions, the reincarnation will no longer evolve (evolve).

refer to

Game of Life
Utopian experiment
The Butterfly Effect *Three-body game

Functions to be implemented soon

Save the evolution process in real time. Just load the existing life evolution process every time you start it. If the seeds of life are gone, start a new reincarnation (Epoch).
Real-time statistics of the number of births, number of survivors, number of deaths and number of lives to provide statistical curves📉.
Calculate the ideal input?
- Calculate what kind of input will last for a long time without dying?
- Constantly conduct reincarnation experiments
- Each round: Give a random initial life matrix.
- Each round: Save the number of evolutions after several evolution/evolution/trial and entering the steady state (no more evolution/evolution or all life units die). (The evolution process does not need to be remembered)
- Each round: Sort the saved content in reverse order by the number of evolutions. (It cannot be calculated by time, because time in the simulation world can be accelerated or expanded)
- Each round: Once it enters the steady state (no further evolution/evolution or all life units die), the current cycle ends and a new cycle begins.
Conversion from 2D to 3D

Apply assumptions