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Case study

4D Polytope Viewer

Interactive 4-dimensional geometry on the web, built to be understood.

4D Polytope Viewer
The setup

Most 4D visualization tools on the web are academic-feeling, unpolished, or both. I wanted a viewer anyone curious about 4D geometry could open and immediately get something from — math-curious users, educators, hobbyists searching "4D polytope," and people who landed on it for the aesthetic. It's part of my mathematical-art brand: math as visual culture, not as homework.

Design decisions

Three choices that mattered.

  1. 01

    Cyberpunk/neon aesthetic as accessibility strategy.

    The visual language — neon palette, glow, futuristic UI — does UX work. It signals "this is cool to play with" before the user reads a single word. For a topic with a high cognitive barrier, the aesthetic lowers the activation energy more than any tutorial overlay would.

  2. 02

    Open core plus a small paid export tier.

    The core viewer is open-sourced — anyone can read, run, or embed it. The version at 4d.pardesco.com adds export features for a small fee. Free for exploration and learning; paid for utility. The split lets the brand serve both communities without compromising either.

  3. 03

    AI-accelerated build, human-debugged on the hard parts.

    Claude Code and Gemini CLI handled scaffolding and iteration. The complex 4D rotation math and web-perf work were hands-on debugging that I had to drive directly. AI was a force multiplier on velocity; correctness on the hardest parts still needed human attention. An honest reading of what the tools can and can't yet do.

AI & tool choices

Claude Code and Gemini CLI across development. There is no AI inside the product itself — the case-study angle here is "AI as collaborator in building hard things." Three.js / React Three Fiber for rendering, custom rotation math for the 4D-to-3D projection, performance-tuned for the web.

Result

Live at 4d.pardesco.com, indexed for 4D / polytope-related search queries. Open-source core publicly available on GitHub; private paid tier for users who need export. Demonstrated at a time when AI coding capabilities of this scope were noteworthy.