Poincaré Disk

Hyperbolic geometry visualized. Geodesics are circular arcs orthogonal to the boundary. Parallel lines never meet — or meet at infinity.

Mode

Click to place points.
Two points define a unique hyperbolic geodesic.

Curvature: K = −1
Model: D² with metric
ds² = 4|dz|²/(1−|z|²)²

Distance from center to point r:
d = 2 arctanh(r)
Points: 0
Geodesics: 0