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# Magazine 5 (2025-26)

[GitHub](https://github.com/HectorTablero/QED-Scripts/tree/main/Magazine%205) (Open Source, MIT License) | [Live Demo](https://qed.mat.uam.es/revista/2025-26)

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

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## Overview

Interactive JavaScript elements created for QED Magazine's fifth edition (2025-26), covering fixed-point theorems, combinatorial construction, and signal processing.

### Fixed-Point Theorems

Cobweb diagrams for Banach's contraction principle and a hand-drawn demonstration of Brouwer's theorem in one dimension.

### The Dot Quadrant Method

Interactively constructing order-4k magic squares by mirroring a dot pattern across the square's four quadrants.

### Uncovering the Signal Amid the Noise

Interactive comparisons of moving averages, the Savitzky-Golay filter, and edge-padding strategies for denoising a signal.

### Singular Value Decomposition

Visualizing SVD as a rotate-stretch-rotate transformation and applying it to low-rank image compression.

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## Sub-Projects in this Folder

- **Fixed-Point Theorems** ([/projects/qed/interactive-components/magazine-5/fixed-point-theorems.md](https://tablerus.es/projects/qed/interactive-components/magazine-5/fixed-point-theorems.md?v=58dca34))
- **The Dot Quadrant Method** ([/projects/qed/interactive-components/magazine-5/magic-squares.md](https://tablerus.es/projects/qed/interactive-components/magazine-5/magic-squares.md?v=58dca34))
- **Uncovering the Signal Amid the Noise** ([/projects/qed/interactive-components/magazine-5/signal-and-noise.md](https://tablerus.es/projects/qed/interactive-components/magazine-5/signal-and-noise.md?v=58dca34))
- **Singular Value Decomposition** ([/projects/qed/interactive-components/magazine-5/svd.md](https://tablerus.es/projects/qed/interactive-components/magazine-5/svd.md?v=58dca34))