Fractals like the Koch snowflake have lots of weird mathematical properties. For example, each iteration above has a greater total length than the previous step.

Natalia Sokko / Getty Images. No two snowflake designs are alike, but many represent fractals in that the branches of a snowflake spawn their own side branches, and so on. The snowflake could ...

Jackson Pollock’s paintings mirror nature’s patterns, like branching trees, snowflakes, waves—and the structure of the human eye. ... are fractal, which means they repeat at different scales.

Such is the weirdness of fractals: hovering somewhere between dimensions, occupying space without truly filling it. Three high school students — Niko Voth (top right), Joshua Broden (bottom right) and ...

Snowflakes are an example of this, but fractals can also form tree patterns. "Fractals are just figures that repeat themselves," Gao said . “If you look at a tree, its branches are branching.

Fractal patterns are seen in nature, from fingerprints to lightning. Fractals are used in data compression, ... For example, the Koch snowflake has a fractal dimension of around 1.26.

Fractals are self-repeating patterns that occur on different length scales and can be seen in nature in a variety of settings, including snowflakes, ferns, and coastlines.

Fractal forms, in particular, have been found by scientists to generate positive emotions in humans. ‘Looking at fractals can increase our production of alpha waves in the brain, which are associated ...

Snowflakes, fern leaves, romanesco cauliflower heads: many structures in nature have a certain regularity. Their individual parts resemble the shape of the whole structure. Such shapes, which repeat ...