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Sierpinski Triangle


honeycomb fractal branching structure


The Apollony fractal


Dodecahedral Fractal
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Naturally Occurring Fractals


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Minimal Surfaces and Geodesic Forms

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The Golden Ratio


Phi and the MANDELBROT SET
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the Mandelbrot set, perhaps the most famous Fractal



View of some of the Interior Relationships in the Mandelbrot Set
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Reflective Spheres of Infinity: Wada Basin Fractals

the infinite series of inter-reflections when mirrored spheres
(such as christmas ornaments) are packed together.




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Platonic / Vectoral Geometry




fascinating patterns can be created by simple repetition,
such as decreasing the scale while twisting the angle -
to create this cubical vortex or the hexagonal regress below