Non-Euclidean Playground

Interactive explorer for hyperbolic and spherical geometry

Overview

An interactive visualization tool for building intuition in hyperbolic and spherical geometry — tessellations, geodesics, and curvature made explorable rather than only equational.

Architecture

• WebGL/Three.js rendering of hyperbolic models (Poincaré disk and/or upper half-plane) and spherical tessellations
• Interactive geodesic and curvature controls — draw a geodesic, watch it bend as curvature changes
• Likely a standalone tool first, with the option to embed as a widget on this site later

Milestones

1. 01Scope which hyperbolic models ship in v1 — Poincaré disk is the natural starting point for interactivity
2. 02Build a minimal interactive tessellation demo (one model, one tessellation pattern)
3. 03Decide standalone tool vs. embedded site widget

Open questions

• Audience isn't decided yet — educational/public-engagement tool vs. research tool changes the scope significantly
• Whether this connects technically to any other project or stands alone as a public-engagement piece