Projection-Space-Exploration

Conway's Game of Life is sequential, here high-dimensional states are projected into the two-dimensional space, and connected, furthermore, meta-data is added to create interactive 2D visualizations.

Projection Figures

t-SNE projection for 25 games with 300 steps each

t-SNE projection for 5 games with 300 steps each

UMAP projection for 25 games with 300 steps each

PCA projection for 25 games with 300 steps each

Data Description

52 random games are created on a 30 by 30 grid, and then they evolve over 300 steps. (300 generations)

See details in the dataset description

The game can never stop evolving as in the picture below.

It could also result in a still life, after some steps.

However, it could also die out.

Rules of the Game

• Any live cell with fewer than two live neighbours dies.
• Any live cell with two or three live neighbours lives on to the next generation.
• Any live cell with more than three live neighbours dies.
• Any dead cell with exactly three live neighbours becomes a live cell.

Details: Conway's Game of Life - Wikipedia

Credits

Projection Path Explorer

t-SNE

UMAP

PCA