Interesting

Is crystal growth a fractal?

Is crystal growth a fractal?

A crystal dendrite is a crystal that develops with a typical multi-branching tree-like form. Dendritic crystal growth is very common and illustrated by snowflake formation and frost patterns on a window. Dendritic crystallization forms a natural fractal pattern.

Are ice crystals fractals?

Fractal analysis of the morphology of ice crystal particles in frozen food was attempted for frozen soybean curd (tofu). From a microscopic image analysis of the ice crystal particles, it was found that the perimeter of the ice crystal particles could be recognized as a fractal.

Is fractal geometry real?

Unfortunately, there is no definition of fractals that is both simple and accurate. Like so many things in modern science and mathematics, discussions of “fractal geometry” can quickly go over the heads of the non-mathematically-minded. Clouds, mountains, coastlines, cauliflowers and ferns are all natural fractals.

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What’s a frozen fractal?

And then, of course, there are frozen fractals. A snowflake forms when a water droplet in the atmosphere freezes. The tiny bit of ice begins to fall to the Earth’s surface. As it falls, more water latches on to the forming snowflake and freezes. Ice crystals build upon ice crystals, forming a fractal pattern.

Is the universe a fractal?

The universe is definitely not a fractal, but parts of the cosmic web still have interesting fractal-like properties. For example, clumps of dark matter called “halos,” which host galaxies and their clusters, form nested structures and substructures, with halos holding sub-haloes and sub-sub-halos inside those.

Is Fibonacci a fractal?

The Fibonacci Spiral, which is my key aesthetic focus of this project, is a simple logarithmic spiral based upon Fibonacci numbers, and the golden ratio, Φ. Because this spiral is logarithmic, the curve appears the same at every scale, and can thus be considered fractal.