A fractal is a way of seeing infinity.

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

Modern humans became fixated on a collective hallucination of linear time, ignoring the fractal spirals of the surrounding universe.

Yes, fractals are what I want to find in my music.

Nowhere else in history has there ever been a flag that stands for the right to burn itself. This is the fractal of our flag. It stands for the right to destroy itself.

I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.

In the mind's eye, a fractal is a way of seeing infinity.

A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales...

I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.

If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.

The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous. Mathematicians have disdained this challenge, however, and have increasingly chosen to flee from nature by devising theories unrelated to anything we can see or feel.

Beautiful, damn hard, increasingly useful. That's fractals.

Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.

History is fractal. The closer you look, the more complicated, yet always repeating patterns.

You're a refraction of the one light. You're a waveform of light. You're a fractal, a pattern that continuously changes.

It's a product of the fractal laws that govern the world at an informational level. There is no deeper truth.

You existed. You existed now as a fractal. Definition: A fractal is generally a rough or fragmented geometric shape that can be broken into parts, each of which is (at least approximately) a reduced-size copy of the whole. Maybe I was a fractal. Maybe the photographer was a fractal. Maybe we were all fractals.

The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.

All created forms are fractal, as is their purpose, use, and allotted time for existence.

Fractals, the theory of relativity, the genome: these are magnificently beautiful constructs.

Maybe relationships could have fractals, too. And maybe the sense of loss was when you're becoming a fractal of what you once were to each other.

Every you, every me. Fractals. Fractures.

Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.

I fell in love with flora of all types, especially ferns. Loved the sparse structure and repetition of shape - almost fractal.

Any issue and any problem, no matter what height you look at it from, no matter how much you extend past the first fractal, it's still a fractal of something that emanates from within your consciousness - from within the human consciousness. And it'll move on and manifest itself externally, and then those are what we pick up as societal ills. But all these battles we're fighting are internal. For me, it's reconciling hope with dread and trying to cut out some place in my mind where my heart can be protected a little bit.

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