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# Magazine 3 (2023-24)

[GitHub](https://github.com/HectorTablero/QED-Scripts/tree/main/Magazine%203) (Open Source, MIT License) | [Live Demo](https://qed.mat.uam.es/revista/2023-24)

**Date:** June 2025 - July 2026
**Technologies:** JavaScript, Tailwind CSS

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## Overview

Interactive JavaScript elements created for QED Magazine's third edition (2023-24), covering Lie symmetries, polyhedral geometry, tessellation, group theory, information theory, and puzzles.

### Canonical Coordinates

A side-by-side view of how a Lie symmetry acts as a rotation in Cartesian coordinates and a translation in canonical ones.

### Angular Defect

An unfolded-vertex visualization of Descartes' theorem that the total angular defect of a convex polyhedron is always 4π.

### Tile Workshop

An editable-tiling sandbox where dragging one edge of a mother tile deforms its paired edge in consequence, so the shape never stops tiling the plane.

### Numdoku Puzzle

A number-placement puzzle where clusters of four cells around a circle must sum to a target value, with no repeated digits.

### The Mathematics of the Rubik's Cube

Two interactive elements exploring the Rubik's Cube as a permutation group: cycle notation and decomposition, and a full 3×3×3 model with its legality invariants.

### The Wings of Information: Communication Theory

Two interactive elements on information theory: a Huffman-tree entropy visualization, and a parity/Hamming-code error detection and correction sandbox.

---

## Sub-Projects in this Folder

- **Angular Defect** ([/projects/qed/interactive-components/magazine-3/angular-defect.md](https://tablerus.es/projects/qed/interactive-components/magazine-3/angular-defect.md?v=58dca34))
- **The Wings of Information: Communication Theory** ([/projects/qed/interactive-components/magazine-3/communication-theory.md](https://tablerus.es/projects/qed/interactive-components/magazine-3/communication-theory.md?v=58dca34))
- **Tile Workshop** ([/projects/qed/interactive-components/magazine-3/mathematical-findings-2023.md](https://tablerus.es/projects/qed/interactive-components/magazine-3/mathematical-findings-2023.md?v=58dca34))
- **The Mathematics of the Rubik's Cube** ([/projects/qed/interactive-components/magazine-3/rubiks-cube.md](https://tablerus.es/projects/qed/interactive-components/magazine-3/rubiks-cube.md?v=58dca34))
- **Canonical Coordinates** ([/projects/qed/interactive-components/magazine-3/symmetries.md](https://tablerus.es/projects/qed/interactive-components/magazine-3/symmetries.md?v=58dca34))
- **Numdoku Puzzle** ([/projects/qed/interactive-components/magazine-3/numdoku.md](https://tablerus.es/projects/qed/interactive-components/magazine-3/numdoku.md?v=58dca34))