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# Magazine 4 (2024-25)

[GitHub](https://github.com/HectorTablero/QED-Scripts/tree/main/Magazine%204) (Open Source, MIT License) | [Live Demo](https://qed.mat.uam.es/revista/2024-25)

**Date:** July 2026
**Technologies:** JavaScript, Tailwind CSS

---

## Overview

Interactive JavaScript elements created for QED Magazine's fourth edition (2024-25), covering p-adic analysis, billiard dynamics, calculus counterexamples, computational geometry, tessellation, operator theory, linear algebra, and classical puzzles.

### A Journey Through p-adic Numbers

Two visualizations of the p-adic world — a nested-ball tree geometry and a side-by-side convergence race against the reals.

### Equations or Experience: Who Comes Out on Top at the Table?

Three billiard-table simulations covering cushion reflection, spin-corrected rebounds, and the diamond aiming system.

### False Friends in Calculus I

Four interactive counterexamples to intuitive-but-false statements about continuity, differentiability, and series convergence.

### Fold and Cut

Three elements building up the fold-and-cut theorem — straight skeleton construction, perpendicular bounce tracing, and the final flat-folded cutting pattern.

### Only Those Who Attempt the Absurd Will Achieve the Impossible

An editable Escher-style tessellation tool and a Möbius strip explorer with an ant walking its one-sided surface.

### Operators Aren't That Complicated... or Are They?

A side-by-side geometric picture of an operator's polar decomposition and the complex-number polar form it is analogous to.

### PageRank, Google and Linear Algebra

Three elements covering the PageRank link graph, the random surfer's empirical convergence, and the power method's fast convergence to the dominant eigenvector.

### The Beauty of Mathematics: Mathematics in Painting

A step-by-step compass-and-straightedge construction of the golden rectangle, subdividing into the logarithmic spiral with a live Fibonacci-ratio readout.

### The Man Who Counted

A playable version of the eight-pearls, two-weighings balance puzzle from Malba Tahan's novel.

### The Sum of the First π Numbers, the Factorial of 1/2, and Other Mysterious Numbers

Four elements visualizing extension criteria, harmonic-number flattening, Euler's factorial limit, and the Euler–Mascheroni constant as an area.

---

## Sub-Projects in this Folder

- **Equations or Experience: Who Comes Out on Top at the Table?** ([/projects/qed/interactive-components/magazine-4/billiards.md](https://tablerus.es/projects/qed/interactive-components/magazine-4/billiards.md?v=58dca34))
- **Only Those Who Attempt the Absurd Will Achieve the Impossible** ([/projects/qed/interactive-components/magazine-4/escher-and-mobius.md](https://tablerus.es/projects/qed/interactive-components/magazine-4/escher-and-mobius.md?v=58dca34))
- **False Friends in Calculus I** ([/projects/qed/interactive-components/magazine-4/false-friends-calculus.md](https://tablerus.es/projects/qed/interactive-components/magazine-4/false-friends-calculus.md?v=58dca34))
- **Fold and Cut** ([/projects/qed/interactive-components/magazine-4/fold-and-cut.md](https://tablerus.es/projects/qed/interactive-components/magazine-4/fold-and-cut.md?v=58dca34))
- **The Beauty of Mathematics: Mathematics in Painting** ([/projects/qed/interactive-components/magazine-4/golden-rectangle.md](https://tablerus.es/projects/qed/interactive-components/magazine-4/golden-rectangle.md?v=58dca34))
- **The Sum of the First π Numbers, the Factorial of 1/2, and Other Mysterious Numbers** ([/projects/qed/interactive-components/magazine-4/mysterious-numbers.md](https://tablerus.es/projects/qed/interactive-components/magazine-4/mysterious-numbers.md?v=58dca34))
- **A Journey Through p-adic Numbers** ([/projects/qed/interactive-components/magazine-4/p-adic-numbers.md](https://tablerus.es/projects/qed/interactive-components/magazine-4/p-adic-numbers.md?v=58dca34))
- **PageRank, Google and Linear Algebra** ([/projects/qed/interactive-components/magazine-4/pagerank.md](https://tablerus.es/projects/qed/interactive-components/magazine-4/pagerank.md?v=58dca34))
- **Operators Aren't That Complicated... or Are They?** ([/projects/qed/interactive-components/magazine-4/polar-decomposition.md](https://tablerus.es/projects/qed/interactive-components/magazine-4/polar-decomposition.md?v=58dca34))
- **The Man Who Counted** ([/projects/qed/interactive-components/magazine-4/the-man-who-counted.md](https://tablerus.es/projects/qed/interactive-components/magazine-4/the-man-who-counted.md?v=58dca34))