How were the fractal bubbles generated?
3D fractal bubbles (spheres) generated using Apophysis 2.08 3D. A single “sun” was generated using a simple bubble transform, while the replication of many “suns” was generated using multiple julian3D transforms. Subtle oscillations in 3D space were developed with the wave transform variation in the final transform. Finally, modifications to the individual weights of transform variations– with greater weights applied to bubble transform variations– assisted in creating bold, opaque stars. Unlike with my previous work, Bioluminescent Mushrooms, Xaos settings were used minimally and only to increase the opaqueness of select stars. In other words, an individual bubble transform was isolated from other transforms by reducing weights to/from other transforms to zero (0) and then positioning it directly over an existing bubble/star.
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What are fractals?
In mathematics, a fractal is a self-similar subset of Euclidean space whose fractal dimension strictly exceeds its topological dimension. Fractals appear the same at different levels, as illustrated in successive magnifications of the Mandelbrot set; because of this, fractals are encountered ubiquitously in nature.
Fractals exhibit similar patterns at increasingly small scales called self similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger sponge, it is called affine self-similar.Wikipedia
Are fractal bubbles seen in nature?
Bubble fractal images are the most organic of all fractal types. They often appear as resembling a myriad of natural creations of all sizes, from tiny cells and molecules to planets, stars and galaxies.FantasticFractals.com
Bubbles are seen in many places in everyday life, for example:
As spontaneous nucleation of supersaturated carbon dioxide in soft drinksWikipedia
As water vapor in boiling water
As air mixed into agitated water, such as below a waterfall
As sea foam
As a soap bubble
As given off in chemical reactions, e.g., baking soda + vinegar
As a gas trapped in glass during its manufacture
An air bubble in a solution of fluorescein and water (or alcohol) is the essential part of a spirit level