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🔢 Number Patterns

Spirals, primes and the golden ratio — the hidden patterns numbers make when you let them draw themselves.

5 simulations60 fps real-time0 install steps

Number SpiralsUlam spiral (prime diagonals), Sacks spiral, Fibonacci sunflower and composite highlight…

Fibonacci SpiralAdjust the golden angle and point count to switch between spiral, sunflower and squares…

Pascal's Triangle — Binomial Coefficients & CombinatoricsClick any cell in Pascal's triangle to reveal C(n,k) — toggle Sierpiński parity, Fibonacci…

Sieve of Eratosthenes — Animated Prime Number FinderWatch the Sieve of Eratosthenes animate in real time. Cross off multiples of each prime and…

Golden Ratio SpiralNewInteractive golden ratio spiral simulator. Watch the golden rectangle subdivide into…

About the category

Number Patterns

Spirals, primes and the golden ratio — the hidden patterns numbers make when you let them draw themselves.

Three.js · WebGL 60 FPS CC BY 4.0

Quick facts

5interactive simulations in this category

⚡runs at 60 FPS in any modern browser

🌐English, Ukrainian, Polish, Spanish, German, Japanese, Italian, Portuguese (Brazil), French, Arabic, Dutch, Chinese, Korean, Hindi, Turkish, Vietnamese, Russian, Indonesian, Persian, Bengali, Thai, Filipino, Swahili, Urdu, Malay, Tamil, Hebrew, Greek, Punjabi, Amharic, Burmese, Khmer, Georgian, Nepali, Mongolian, Armenian, Sinhala, Lao, Czech, Romanian, Hungarian, Bulgarian, Swedish, Danish, Finnish, Norwegian, Slovak, Croatian, Serbian, Slovenian, Lithuanian, Latvian, Estonian, Icelandic, Albanian, Macedonian, Bosnian, and Maltese

🎓CC BY 4.0 — free for classrooms and LMS embeds

Frequently asked questions

Do I need to install anything to run Number Patterns simulations?▾

No. Everything runs entirely in your browser — no downloads, plugins or accounts. Works in Chrome, Firefox, Edge and Safari; most simulations also work on mobile.

Can I use these simulations for teaching?▾

Yes — all content is free for educational use under CC BY 4.0. Link to any simulation directly or embed it in your LMS with an iframe; no API key required.

Are the models scientifically accurate?▾

They use the same mathematical formulations as professional software, integrated numerically in real time. Each simulation lists its algorithms, and many link to an article explaining the mathematics.

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