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All Tools

Explore our complete collection of mathematical generators, calculators, and explorers.

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Pi Digit Explorer

Easy

Search for numbers in the digits of pi. Find your birthday, phone number, or any sequence inside the first 1 million digits.

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Golden Ratio Calculator

Beginner

Calculate and visualize the golden ratio (φ = 1.618...). Create golden rectangles and see it in nature.

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Spiral / Phyllotaxis Generator

Intermediate

Generate beautiful spirals using the golden angle and phyllotaxis formula. Create sunflower-like patterns.

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L-System Pattern Generator

Intermediate

Create fractal patterns using L-system grammar rules. Generate trees, plants, and mathematical curves.

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Random Seed Art Generator

Easy

Generate reproducible abstract art. Same seed produces identical artwork every time. Fully deterministic.

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Geometric Tiling Generator

Intermediate

Create perfect geometric tilings and tessellations. Explore wallpaper symmetry groups and Islamic patterns.

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Ratio / Proportion Visualizer

Beginner

Visualize mathematical ratios and proportions. Compare aspect ratios, paper sizes, and design standards.

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Quick Start Guide

For Beginners

  1. 1
    Start with Pi Digit Explorer

    Search for your birthday in pi's digits. No setup needed.

  2. 2
    Try Seed Art Generator

    Enter a number and watch unique art appear instantly.

  3. 3
    Export your creation

    Download your result as a PNG image to use in your projects.

For Educators

  1. 1
    Check the Learn section

    Reference guides on formulas, L-systems, and spiral mathematics are being written.

  2. 2
    Use in classroom

    All tools work offline after loading. Perfect for demonstrations.

  3. 3
    Generate examples

    Create visuals to illustrate mathematical concepts.

Learn the Math

Go behind the controls with friendly, illustrated guides to the ideas that power each tool.

Illustrated guide

Golden Angle & Phyllotaxis

The 137.507° angle that explains leaf arrangement and sunflower seed patterns.

 Illustrated guide

L-System Rules

Production rules for creating trees, plants, and fractals with L-systems.

 Illustrated guide

Spiral Types Compared

Fermat, Archimedean, and logarithmic spirals: formulas and real-world applications.

 Illustrated guide

Wallpaper Groups

The 17 mathematical symmetry groups that describe all possible tilings.
See the Learn section