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Geometry Mesh Rendering | AlphaAlgebra Engine v3.0

Advanced Computational Geometry & Recursive Fractal Visualization

Screenshot 2026-04-06 9 49 06 PM Screenshot 2026-04-06 10 23 37 PM

Project Ethos

AlphaAlgebra is a technical deep-dive into 3D spatial mathematics and hacker-aesthetic rendering. This suite demonstrates how to architect complex geometric relationships—ranging from convex hull derivations to recursive volumetric fractals—within a high-performance WebGL environment.

Technical Stack

  • Core Engine: Plotly (3D WebGL Rendering)
  • Spatial Logic: SciPy.spatial (Convex Hull & Centroid Calculation)
  • Vector Math: NumPy
  • Deployment: Standalone HTML/JS for cross-platform portability.

Algorithmic Highlights

  • Dual-Nature Inversion: Programmatically deriving the vertices of a Dodecahedron from the centroids of an Icosahedron's faces.
  • Recursive Menger Engine: A fractal subdivision algorithm demonstrating recursive depth management and high-volume mesh rendering.
  • Volumetric "Cyber-Glow": Multi-layer mesh scaling and opacity falloff to simulate neon-pink atmospheric light bleed.

Inspiration & Provenance

This repository was born from a technical exploration of the Seeinglogic 3D visual blog:

  • Author: Mark Griffin (@seeinglogic)
  • Original Article: Taking the first step into 3D visuals with Python
  • Credit: Seeinglogic (March 5, 2024)Dev/hacker exploring software and security through visualizations.
  • Adaptation: This engine extends the original icosahedron concept into an interactive, animated, and stylized "Deep Space" environment with added recursive fractal support.

Deployment

# Initialize Environment
conda env create -f environment.yml
conda activate geometry_mesh

# Execute Supernova Engine (Auto-Orbit)
python src/supernova_render.py

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