Hyperbolic Fibonacci Spiral
Fibonacci spirals in the Poincaré disk — hyperbolic geometry where geodesics are circular arcs.
Controls
Points:
200
Spiral factor:
1.00
Mode:
Fibonacci
Disk radius:
1.00
Color:
Depth
Animate
Poincaré disk: unit disk with
hyperbolic metric ds² = 4|dz|²/(1−|z|²)²
Fibonacci angle: φ = 2π/φ²
where φ = (1+√5)/2 ≈ 1.618
Geodesics = circular arcs
perpendicular to boundary.
Ideal boundary = circle at ∞.