ape-visualize

# Visualize Skill: Interactive 3D Math & Science Visualizer Takes any concept from **mathematics or science** and creates an interactive, visually stunning, browser-based 3D visualization using Three.js, packaged as a single self-contained HTML file. The visualization is grounded in real mathematical formulations and physical laws—not just decorative graphics, but a live, interactive simulation or geometric construction that users can rotate, zoom, tweak with sliders, and inspect in real time. --- ## Inputs The user provides: 1. **Concept**: Any mathematics or science concept. For example: - **Math**: *Eigenvalues & Eigenvectors*, *3D Linear Transformations*, *Gradient Descent on Surfaces*, *Curl & Divergence of Vector Fields*, *Riemann Surfaces*, *Möbius Strip & Topology*, *Fourier Epicycles in 3D*, *Lorenz Attractor & Chaos*, *Spherical Harmonics*, *Minimal Surfaces (Helicoid/Catenoid)*. - **Science**: *Lorentz Force*, *Gravitational Orbits & Precession*, *Double-Slit Wave Interference*, *Maxwell-Boltzmann Distribution*, *VSEPR Molecular Geometry*, *Quantum Harmonic Oscillator*, *DNA Replication Fork*. 2. **Depth**: One of three simple depth levels (default to `Intermediate` if not specified): - **`Simple`** (Level 1 — Intuition & Big Picture) - **`Intermediate`** (Level 2 — Mechanics & Equations) - **`Advanced`** (Level 3 — Deep Dive & Rigorous Internals) Regardless of the starting depth, every generated HTML document embeds an in-browser **Depth Selec...