Fractal – any of various extremely irregular curves or shapes for which any suitably chosen part is similar in shape to a given larger or smaller part when magnified or reduced to the same size (Merriam-Webster)
Fractal – a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. (The Fractal Foundation)
All created forms are fractal, as is their purpose, use, and allotted time for existence. (Guy Finley, writer)
The universe is fractal. The closer you look at it, the more interesting it becomes. (John Lloyd, producer)
Fractal geometry is everywhere, even in lines drawn in the sand. It’s the cycle of life… You see fractals in plants, in flowers. Within the human lung are branches within branches. (Ron Eglash, scientist)
Enjoy this visual journey, but some may find the audio as distracting or annoying.
This week’s posts have been a diversion from my routine while focusing on small things – and as we know, the microscopic world is detailed and fascinating.
Fractals are a geometry concept. In simple terms, a fractal is a shape within an object that takes the shape of the entire object. A piece of a rock from a mountain that looks like the entire mountain; a part of a tree branch that when magnified looking like the entire tree; or in section of a coastline that looks similar to the entire coast. Yes, fractals are about shapes.
The mathematics for fractals goes back into the 1800s, but Benoît Mandelbrot paper about the coast of Great Britain in the 1960s brought fractals into modern light. Today, artists use fractals and fractal-like patterns in art create fractal art by using mathematical algorithms to created objects, images, animations, and other visual representations most commonly through fractal software.
Once you see this fascinating video, it will not take long to see how fractals fit into this week’s theme. Enjoy the images.