Reasoning models produce fractals on hard problems, researchers find via nonlinear dynamics

Stefania_druga · x · 2026-09-10

Gilpin's group discovered that reasoning models produce fractals when asked to solve hard problems, enabling nonlinear dynamics to probe the thinking processes of recurrent-depth models on Sudoku, mathematics, and even ARC-AGI.

BertChakovsky adds that fractal maps appear everywhere in complex systems—from the Mandelbrot set to Lenia to AI models: wherever stable "solutions" exist inside a system, chaotic non-solutions cluster nearby.

Related event: Fractal basins trap latent reasoning: transient chaos explains overthinking(16 posts)→

Original post →

More from Research

Research channel →