Articles

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

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About the indices

Scientific value: an editorial assessment of the material explained, out of 10. It adds explanatory scope (0–3), connections between disciplines (0–3), methods and evidence presented (0–2), and applications or research questions (0–2). It is not peer review, a bibliometric measure, or a discovery attributed to the author.

Popularity: an estimated indicator of attention to the topic, calculated from mean monthly views of an English Wikipedia page, October 1, 2025–September 30, 2026. Traffic categories recognized as automated by Wikimedia are excluded. This English-language sample measures neither the entire Internet nor this site’s visitors; a broader topic page is identified when used as a proxy.

Fixed scale — mean monthly views: 1: under 100; 2: 100–299; 3: 300–999; 4: 1,000–2,999; 5: 3,000–9,999; 6: 10,000–29,999; 7: 30,000–99,999; 8: 100,000–299,999; 9: 300,000–999,999; 10: one million or more.

Assessed October 19, 2026. Wikimedia counting method · Scientific references appear in each article’s bibliography.

9 articles · Computer Science

Computer Science

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.

Scientific value : 6/10Popularity : 5/10

Jun 24, 2026Read →

Computer Science

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.

Scientific value : 10/10Popularity : 6/10

Jun 17, 2026Read →

Computer Science

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.

Scientific value : 8/10Popularity : 5/10

Jun 5, 2026Read →

Computer Science

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.

Scientific value : 8/10Popularity : 5/10

May 30, 2026Read →

Computer Science

Neural Networks: How Optimization Actually Converges

Training a neural network minimizes a loss function in a high-dimensional space. Gradient descent navigates this space, but the actual trajectory depends on the geometry of the loss landscape.

Scientific value : 10/10Popularity : 6/10

Feb 26, 2026Read →

Computer Science

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.

Scientific value : 9/10Popularity : 6/10

Feb 22, 2026Read →

Computer Science

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.

Scientific value : 7/10Popularity : 3/10

Feb 18, 2026Read →

Computer Science

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.

Scientific value : 10/10Popularity : 4/10

Feb 14, 2026Read →

Computer Science

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.

Scientific value : 9/10Popularity : 5/10

Feb 10, 2026Read →