Explore the spectacular world of non-Euclidean geometry through 40 interactive demonstrations. Navigate infinite tilings, trace geodesics that curve through the Poincare disk, and fly through hyperbolic 3-space — all in your browser.
See also: Differential Geometry for the Riemannian metric of negative curvature, Group Theory for the isometry groups of the hyperbolic plane, and Topology for hyperbolic surfaces as quotients of H².
What happens when Euclid's Fifth Postulate fails — and why it took 2,000 years to find out
An entire infinite plane fit inside a circle — Escher's favorite geometry
Hyperbolic geometry where the metric stretches to infinity at the horizon
The symmetries of hyperbolic space — rotations, translations, and limit rotations
GPU-accelerated infinite tilings — regular, semi-regular, and Escher-inspired
Shortest paths, distance formulas, and the exponential growth of circles
Hyperbolic geometry in 3D Minkowski space and the projective Klein disk
Physical surfaces with constant negative curvature — from tractrix to crochet
Triangle groups, Fuchsian groups, and the wild symmetries of hyperbolic space
From networks to nature — hyperbolic geometry in the real world