Project Notes - Fractal Notes

Project Summary

Fractal Notes is a Persian-language mathematical educational website built with Jekyll and hosted on GitHub Pages. The site presents intuitive mathematical notes with a focus on geometric and visual explanations.

Key Technical Details

Jekyll Configuration

• Markdown Engine: Kramdown with MathJax support
• Math Rendering: MathJax 3 (via CDN)
• Layout: Single default layout (_layouts/default.html)
• Math Delimiters:
  • Inline: $...$
  • Display: $$...$$

Styling

• Font: Vazirmatn (Persian font from Google Fonts)
• Direction: RTL (right-to-left)
• Font Size: 17px
• Line Height: 1.9
• Max Width: 800px
• Background: #fdfdfd

Content Structure

• Main page: index.md (Persian introduction)
• Complex Numbers: complex-numbers/index.md
• Problem Solving > Symmetry: problem-solving/symmetry/index.md

Dependencies

• github-pages gem (includes Jekyll and all necessary plugins)

Content Themes

1. Complex Numbers: Geometric approach to complex numbers, emphasizing:
   • Vector representation
   • Addition as vector addition
   • Multiplication as rotation + scaling
   • The imaginary unit $i$ as 90° rotation
2. Problem Solving - Symmetry: Demonstrates how adding ambiguity can create symmetry to solve problems, using the “pill problem” as an example.

Development Workflow

1. Edit markdown files in root or subdirectories
2. Add images to assets/img/
3. Test locally with bundle exec jekyll serve
4. Push to GitHub (auto-deploys via GitHub Pages)