Phyllotaxis

Phyllotaxis Calculator plots plant-style spirals from four numbers: how many dots, the divergence angle, spacing, and the radial exponent. Golden angle, sunflower, 144° cone, and a 137° near-miss are one tap. Switch color by Fibonacci index, radius, or angle. Rotate it. The picture is the coordinates.

Phyllotaxis is how leaves, seeds, and florets space themselves around a stem. This app does not approximate that pattern. It computes each dot:

rₙ = c · nᵖ θₙ = n · α + rotation xₙ = rₙ cos θₙ yₙ = rₙ sin θₙ

Presets: Golden Angle (α ≈ 137.508°, 233 dots), Sunflower (same angle, 377 dots), 144° Cone, 137° Near Miss, Wide Spiral, Tight Spiral.

Works offline in the Android app. On iPhone, open the page in Safari and Add to Home Screen.