Phyllotaxis Spiral & Parastichy Simulator

Fibonacci Ratio: 34/55 (Fibonacci pair)

Uniformity: Optimal Packing

Botanical Presets NATURE

Divergence Angle (θ) Golden Angle

137.5078°

Fraction: 0.3819660 × 360°

90.0° (Decussate) 137.508° (Φ) 180.0° (Distichous)

Fibonacci Parastichy Tracers Active

Primordia Organ Count (N) 600 Seeds

Scaling Constant (c): 12.0

Disc Area Packing Density: 99.8%

Botanical Insights

Vogel's formula (r = c √n, θ = n × 137.50776°) prevents empty angular sectors by allocating each newly formed primordium at the most irrational fractional rotation of the circle (1 - 1/Φ ≈ 0.381966). Consecutive Fibonacci numbers emerge spontaneously as visual parastichies.