Articles

Scientific explorations of spirals and convergence phenomena in mathematics, physics, biology, astronomy, computer science and complex systems.

9 articles · Computer Science

Computer Science

Featured

16–22 min

Two AIs, One Web Project: The Generalist, the Specialist, and the Human in Control

A single AI does not simultaneously possess strategic vision, project knowledge, and control of the target environment. This article explores a real proof of concept: making a generalist and a specialist cooperate under the direction of a human who retains intention, authority, and final responsibility.

Jun 24, 2026Read →

Computer Science

14–19 min

Spirals in Computer Science: Represent, Traverse and Compute

In computer science, the spiral can be a traversal structure, a visualization or the result of a generative algorithm. It does not automatically follow from recursion.

Jun 5, 2026Read →

Computer Science

16–22 min

Cellular Automata: From Local Rules to Global Forms

A grid, a few states and a neighborhood rule can produce stability, propagation, chaos or rotating patterns. Spirals only appear in certain families of automata.

Jun 17, 2026Read →

Computer Science

15–20 min

AVL Rotations and Space-Filling Curves: Geometry of Algorithms

An AVL rotation is a local reorganization of a tree, not a spiral motion. Hilbert curves and other recursive traversals are about continuity and space-filling rather than spiraling.

May 30, 2026Read →

Computer Science

35–47 min

Neural Networks: How Optimization Actually Converges

How do SGD, momentum, AdamW and Muon find solutions in enormous spaces? Explore loss landscapes, Hessians, noise, edge of stability and generalization interactively.

Feb 26, 2026Read →

Computer Science

17–23 min

Elliptic Curves: A Geometry in Service of Cryptography

Elliptic curve cryptography secures the majority of modern encrypted communications. Elliptic curves are cubic equations whose points form an algebraic group.

Feb 22, 2026Read →

Computer Science

30–40 min

Fractal Compression: Reconstructing an Image Through Transformations

Fractal compression encodes an image as a set of contracting geometric transformations. The image is the fixed point of this system: by applying the transformations infinitely, one converges toward the original image.

Feb 18, 2026Read →

Computer Science

16–22 min

Small-World Networks: Local Proximity, Global Reach

Small-world networks combine a high local clustering coefficient with short global distances. This topology emerges from simple connection rules and characterizes social networks, the brain and the Internet.

Feb 14, 2026Read →

Computer Science

14–19 min

Genetic Algorithms: Exploration, Diversity and Convergence

Genetic algorithms mimic Darwinian evolution to solve complex optimization problems. The population evolves through selection, crossover and mutation, progressively converging toward the optimum.

Feb 10, 2026Read →