Move the slider and watch a mathematical pattern transform. One tiny change in the angle between dots can create entirely different spirals.
You've found the golden angle.
Split a full turn into two parts in the golden ratio. The smaller part is about 137.508°. Placing dots repeatedly at this angle avoids the strong spokes that simple fractions of a turn produce.
θ = 360° / φ² ≈ 137.508°φ = (1 + √5) / 2
Each new dot turns by the chosen angle and moves outward by the square root of its number. Together these rules make a phyllotaxis model, often called Vogel's model.
r(n) = c · √nθ(n) = n · angle
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