This is one of my very favourite short 3D fractal journeys. It starts with recognizably geometric shapes but soon visits bonelike, spongelike, and shell like structures. The sea urchin journey is particularly impressive.
I found it on the Fractal Forums website, created by a well known fractal artist Jeremie Brunet.
Created for a TEDx talk by Bryan Alvarez from UC Berkeley, about the Human Atlas project, to illustrate his initial dream about the beauty of living systems.  This is a hybrid Julia fractal where many parameters are being animated: the fractal paramaters themselves, the Julia seed, the colors, and of course the camera position. For more details about 3D fractals and to download the Mandelbulb3D software, visit fractalforums.com.

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