Plinks100

Decode Nature's Spiral Secrets

Calculate phyllotaxis angles in botanical spirals. Measure divergence patterns, count contact pairs, and explore the mathematical architecture hidden inside seed heads.

4.7★ Educational Tool
Android Platform
Free Download
Download Plinks100
Survey mode active – analyze real flowers today

Choose Your Starter Package

Instant Access

Bench Mode Unlocked

SPIRAL2024
  • Generate unlimited theoretical patterns
  • Adjust divergence angles freely
  • Export lattice fit data
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Learning Path

Educational Package

FIBONACCI
  • Guided tutorials on phyllotaxis
  • Sample flower head library
  • Step-by-step measurement guides
Start Learning

All packages include core measurement tools. Advanced features require Android 7.0+. No subscription fees.

Inside the Mathematical Engine

Plinks100 transforms botanical photography into precise mathematical models. Point your camera at any seed head – sunflower disc, pine cone, or daisy center – and the app overlays a parametric lattice grid. The software calculates divergence angles by analyzing the geometric relationship between adjacent primordia positions.

The bench mode generates synthetic seed heads from pure mathematics. Input any divergence angle between zero and 180 degrees, and watch as the algorithm builds a spiral pattern in real-time. Each simulated floret follows the cylindrical lattice formula, with plastochrone ratio determining radial spacing.

Survey mode bridges theory and reality. Mark visible spiral arms on photographed specimens, and the app computes the Fibonacci pair most likely responsible for the pattern. The lattice fit percentage reveals how closely natural growth follows ideal mathematical predictions.

Verified Specifications

Current Version 3.2.1
Package Size 12.4 MB
Platform Android 7.0+
Last Updated October 2026
License Freeware
Category Educational / Science

Measurement Capabilities

∡

Divergence Angle Precision

Measure the golden angle with three-decimal accuracy. Adjust theoretical models from 95° to 145° and observe how contact pair identities shift as parastichy slopes reorganize.

⊕

Contact Pair Identification

Automatically detect visible spiral families in photographed specimens. The algorithm counts intersecting parastichy lines and suggests the most probable Fibonacci number pair.

⟲

Cylindrical Unwrapping

Visualize the seed head as if cut and flattened. The wave pattern display reveals how spirals become diagonal lines when cylindrical geometry transforms to planar coordinates.

◈

Lattice Fit Analysis

Compare real flower photographs against ideal mathematical predictions. Percentage scores indicate how perfectly nature followed the theoretical spiral arrangement formula.

φ

Plastochrone Ratio Display

Track the growth rate multiplier between successive floret positions. Watch this dimensionless value respond to divergence angle changes in bench mode simulations.

✧

Interactive Spiral Markers

Tap to place counting dots along spiral arms in survey mode. The app links your manual counts to calculated divergence values and verifies pattern consistency.

Operational Workflow

Data Collection Process

  • Launch survey mode from main interface
  • Photograph seed head at perpendicular angle
  • System overlays parametric grid automatically
  • Mark seven points along one spiral family
  • Repeat marking for opposing spiral direction
  • Algorithm calculates measured divergence
  • View lattice fit percentage instantly

Theoretical Exploration

  • Access bench mode from tab navigation
  • Use arc slider to set divergence angle
  • Generated pattern appears in real-time
  • Contact pair updates dynamically
  • Cylinder visualization shows unwrapped view
  • Plastochrone ratio recalculates continuously
  • Compare against golden angle baseline

Begin Pattern Analysis

Transform your understanding of natural spirals through mathematical measurement

Android 7.0 or higher | Free download | 12 MB installation
Download Plinks100

Educational tool for phyllotaxis study. Contains no advertisements. Suitable for ages 12+. Camera permission required for survey mode functionality.