The Hyperbolic Gardener

How to Play

You are a gardener in hyperbolic space — a world where the Poincaré disk model maps infinite area into a finite circle. Space grows exponentially near the boundary: a small step at the edge covers vast hyperbolic distance.

Plant seeds by clicking on the disk. Water them (click+drag) to help them grow. Harvest mature plants for points. Use Move to drag the view via Möbius transformation, bringing distant plants closer.

Each plant type behaves differently in curved space:

• Hyperbloom — flowers that grow larger near the center where space is less distorted
• Geodesic Vine — grows along hyperbolic geodesics (arcs), spreading outward
• Fractal Fern — branching plant that exploits the exponential space near the edge
• Parallel Grain — crops that diverge in parallel rows (parallel lines separate in hyperbolic space)

1-4 select tools, Q-R select seeds, Scroll to zoom (Möbius scaling).