fractals

A 3D Mandelbrot

25/06/2010
By ErkDemon
A 3D Mandelbrot

Skytopia have a great set of pages on the search for a 3D version of the Mandelbrot Set. Or at least, for an interesting 3D version of the normal Mandelbrot.

It's...
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Posted in 3D, Mandelbrot Set, fractals, imaginary numbers | Comments Off

‘Circular’ Polyhedra, and the Apollonian Net

27/04/2010
By ErkDemon
‘Circular’ Polyhedra, and the Apollonian Net

Fractal circular tiling, giving the  Apollonian Net / Apollonian  Gasket / Liebniz packing  diagramThis is the nice design that I used on page 2 of the book.

Annoyingly, rather a lot...
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Posted in Apollonian gasket, Platonic solids, Relativity in Curved Spacetime (book), circles, fractals | Comments Off

Fibonacci Fractals

22/12/2009
By ErkDemon
Fibonacci Fractals

Fibonacci FractalThis fractal's based on the Fibonacci Rose.

The original Rose has two identical interlocking spiral arms. If we delete one of them, we're left with a simple spiral chain of triangles. Each triangle has three sides...
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Posted in Fibonacci, fractals, quantisation | Comments Off