The field guide to infinite patterns

The mathematics of infinity, made visible.

Fractal

Phyllotaxis

Phyllotaxis is a recurring topic across Fractal. This hub collects every guide and explainer tagged Phyllotaxis, newest first — each grounded in real mathematics and real examples, written to be rigorous yet readable.

Fractals in Nature

Is Romanesco Broccoli a Fractal? Plants & Phyllotaxis

That alien-green spiral vegetable on your market stall is one of nature’s closest approximations to a mathematical fractal — and the 2021 Science paper that cracked its genetics is stranger still.

Fractals in Nature

Fibonacci, the Golden Ratio & Fractals

Three of mathematics' most beautiful ideas turn out to be facets of the same underlying truth. Here is how the Fibonacci sequence, the golden ratio, and fractal self-similarity converge — in sunflower heads, spiral galaxies, and the geometry of growth itself.

Frequently asked

What is Phyllotaxis?

Phyllotaxis is a topic our editors cover across the site. This hub gathers the related guides and explainers so you can read the full picture in one place.

How often is the Phyllotaxis hub updated?

This hub updates automatically whenever a new article is tagged Phyllotaxis, so the most recent coverage always appears first.

Who writes the Phyllotaxis guides?

Every guide here is written by the Fractal editorial desk, with the mathematics checked against primary sources and explained for a general reader.