Add Comprehensive Polygon Documentation with SVG Diagrams and Julia Examples

[AronT-TLV]

Summary

This PR adds comprehensive polygon documentation to the Math_Foundations project, including mathematical theory, interactive SVG diagrams, and practical Julia computational examples.

Documentation Enhancements

• New Polygon Section: Complete documentation covering polygon classification, properties, and triangulation
• 5 Interactive SVG Diagrams:
  • Convex vs Concave polygons with visual demonstrations
  • Regular vs Irregular hexagons with precise labeling
  • Pentagon fan triangulation example
  • Hexagon fan triangulation example
  • Alternative quadrilateral triangulation methods
• Cyclic Quadrilaterals: Added documentation with diagrams on cyclic quadrilaterals

Julia Computational Examples

• Regular Polygon Area Calculations:
  • Symbolic area formula implementation: $F = \frac{1}{4} N s^2 \cot\left(\frac{\pi}{N}\right)$
  • Numerical precision control with multiple formatting options
  • Circle approximation analysis as N → ∞
  • Quantitative error analysis (absolute and relative errors)
• Triangulation Methods:
  • Formula using radius: $F = \frac{1}{2} N r^2 \sin\left(\frac{2\pi}{N}\right)$
  • Multiple calculation approaches demonstrated

Visual Improvements

• Precise Label Positioning: All SVG diagram labels (sides, angles, vertices) are mathematically centered
• Professional Quality: Labels use text-anchor="middle" for perfect centering
• Color Coding: Consistent color scheme across diagrams for clarity
• Educational Value: Diagrams clearly illustrate geometric concepts

Technical Details

• 9 commits covering documentation, diagrams, and computational examples
• Files modified:
  • docs/src/Geometry/03 Polygons.md: Complete polygon documentation
  • docs/src/Geometry/02 Quadrilaterals.md: Cyclic quadrilateral additions
  • notebooks/Basics.ipynb: Julia computational examples
  • docs/src/index.md: Added polygons to sidebar
• Testing: All Julia code cells execute successfully
• Documentation build: Verified with julia --project=. docs/make.jl

Educational Impact

• Demonstrates polygon area for 3600-sided polygon = 1,031,323.7694 (b=1)
• Shows convergence to circle: 99.999975% accurate with relative error of 2.54×10⁻⁷
• Multiple calculation methods provide cross-validation
• Clear mathematical notation using LaTeX throughout

Ready to Merge

• All changes committed and pushed
• Documentation builds without errors
• Diagrams render correctly
• Julia examples execute successfully
• No breaking changes to existing code