The Barnsley fern is a fractal named after the British mathematician Michael Barnsley who first described it in his book Fractals Everywhere.
The Barnsley fern fractal with animated zoom, 'how to draw' slides & animation showing it 'grow' out of 20 input numbers. Beautiful development of the fern s...
Fractal Patterns In Plants. Green Fern Spiral Nature. Ecological Diversity Ferns. 16 Facts About Nature That'll Make You Say "Sounds Fake, But OK" | Fractals, Fractal patterns, Nature.
An object which possesses this property is called a fractal. From a mathematical point of view, the repetition of patterns at smaller and smaller scales can be continued to infinity.

Barnsley generated the fractal pattern that's now known as Barnsley's Fern. It's supposed to resemble the Black Spleenwort, Asplenium adiantum-nigrum. You can find numbers of references...
The Barnsley Fern is a fractal named after the British mathematician Michael Barnsley. It shows how graphically beautiful structures can be built from repetitive uses of mathematical formulas.
This pattern helps ferns grow wide and catch sunlight in the smartest way, without wasting any space. It also gives them their soft, feathery look thats so lovely to touch and see.

Furthermore, visual representations like the one above help us fully grasp the concept of Fractal Fern Pattern.
Fern leaf against white background showing fractal patterns in nature. You might notice something surprising: each of the smaller leaf parts looks a lot like the whole leaf.
A fern displaying its fractal features. The same shape is repeated in the branches, the fronds and the leaves - and even the veins inside each leaf. Wikimedia Commons.