ten DIMENSIONAL cellular automata – GPT 5.5

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The 10D automaton ran on a 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 lattice:

  • Total cells: 59,049
  • Neighborhood: 20 orthogonal neighbors
  • Rule: B3/S23
  • Initial live cells: 5,883
  • Final live cells after 36 generations: 12,453

A full 10D Moore neighborhood would give each cell 59,048 neighbors, making a direct run extremely expensive. This version instead uses the 10D von Neumann neighborhood: one neighbor in each positive and negative dimensional direction.

The population quickly jumps upward and enters a damped two-cycle-like oscillation around 12,000–13,000 cells. The visible structure is a fixed linear projection from ten spatial coordinates into three.

Watch the evolving 10D-to-3D projection

View selected projected generations

View the population trajectory

View activity across all ten dimensions


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