Phyllotaxis

byVeeVee · Art & Design

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5.0

1 review

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7.0

android

AI summary

Phyllotaxis Calculator plots plant-style spirals from four parameters: dot count, divergence angle, spacing, and radial exponent. Version 1.1 adds a dark slate interface with cyan and fuchsia controls, three color mapping modes, play/pause rotation, and doubled dot count and radius limits. Six presets including Golden Angle and Sunflower are included. Works offline.

Generated by AI. May contain inaccuracies.

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About this app

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.

art math visualization offline open source

What's new

v1.1Sep 19, 2026

What’s new in 1.1
New interface: dark slate canvas, cyan/fuchsia controls, sidebar + live plot • Color mapping: Fibonacci, Radial, Angular • Play/pause rotation so the spiral can turn • Dot count up to 2000 (was 1000) • Dot radius up to 15 mm (was 8) • Same six presets, same math • Android APK v1.1 (com.veevee.phyllotaxis, versionCode 2) • iPhone path is still a home-screen web app, not a sideloaded IPA
Unchanged: every point is still rₙ = c · nᵖ, θₙ = n · α + rotation. Fibonacci marks are display-only. They do not move the dots.