Scientists have studied trees depicted in various works of art and found they follow relatively simple mathematical rules ...

“They grow in what’s called a branching fractal pattern,” Brazier explained. From the base of the tree, “It grows up and it branches out. It grows up and it branches out … all the way to ...

Trees in nature follow a “self-similar” branching pattern called a fractal, in which the same structures repeat at smaller and smaller scales from the trunk to the branch tip. In the new study ...

Hailed as the man who reshaped geometry, French-American mathematician Benoît Mandelbrot first coined the word “fractals” to ...

The precise calibration of branch diameter leads to a hallmark of fractal shapes called scale invariance. A scale invariance is a property that holds true regardless of the size of an object or p ...

Like the branches, twigs and leaves of a tree, fractals repeat the same patterns across different scales. Snowflakes, lightning bolts and human blood vessels are also fractal structures ...