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Preprint: arxiv.org/abs/2603.23539
GitHub: github.com/burcgokden/P...
Weights: huggingface.co/fromthesky

#AIPhysics #StatisticalMechanics #LLMs #ComplexityScience #MachineLearning #SelfOrganizedCriticality #PLDRLLM

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#selforganizedcriticality #tarotofthings #tarotcard #tarot

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A fractal pattern generated by an Abelian sandpile model, featuring a bright yellow square at the center surrounded by a symmetrical arrangement of navy blue triangular shapes. The pattern radiates outward with intricate geometric designs in shades of navy blue, olive green, and gray. The design demonstrates four-fold symmetry, with each corner showing identical patterns of triangular fractals that appear to be reaching toward the central square. The overall composition creates a striking contrast between the bright yellow center and the darker, detailed surrounding patterns.

A fractal pattern generated by an Abelian sandpile model, featuring a bright yellow square at the center surrounded by a symmetrical arrangement of navy blue triangular shapes. The pattern radiates outward with intricate geometric designs in shades of navy blue, olive green, and gray. The design demonstrates four-fold symmetry, with each corner showing identical patterns of triangular fractals that appear to be reaching toward the central square. The overall composition creates a striking contrast between the bright yellow center and the darker, detailed surrounding patterns.

Beauty in mathematical groups: the identity element of the abelian sandpile group for a 2048x2048 square lattice.
Computation turbocharged by MLX Apple GPU metal kernels 🏃‍♂️⚡️
Made with #python #mlx #matplotlib
#ComplexSystems #selforganizedcriticality #GenerativeArt #MLX

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A symmetric fractal pattern resembling a mandala, created by an Abelian sandpile model. The image features a circular design with intricate geometric patterns radiating from the center in shades of blue and gray against a burgundy background. The pattern shows detailed triangular and diamond-shaped elements that create a tunnel-like depth effect, with the complexity decreasing towards the bright center.

A symmetric fractal pattern resembling a mandala, created by an Abelian sandpile model. The image features a circular design with intricate geometric patterns radiating from the center in shades of blue and gray against a burgundy background. The pattern shows detailed triangular and diamond-shaped elements that create a tunnel-like depth effect, with the complexity decreasing towards the bright center.

Visualizing a relaxed configuration of the Abelian Sandpile model (2d Bak–Tang–Wiesenfeld model). Simulation accelerated with custom GPU kernels in Apple's MLX.
Made with #python #mlx #matplotlib.
#selforganizedcriticality

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