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HopeHoops

(47,675 posts)
4. "Self similar", not "fractal". There is a distinction.
Wed Feb 29, 2012, 11:26 AM
Feb 2012

While most people consider the Mandelbrot set to be a fractal, it is not. It is self similar at an infinite scale. Fractals are self-replicating like the Koch Curve or Koch Cube. In 3 dimensions, the Kock cube has the property that as the area approaches infinity the volume approaches zero.

Self similar objects replicate at either a finite or infinite depth and merely share the property that you can discern a visible similarity at any level of zoom. Neither the universe or the brain internals can be defined mathematically because they are random by definition. True fractals are rigid and reproduced with ease in identical form. Self similar equation mapping is still rigid, but not directly identical at any level, just recognizable.

At any rate, I like the comparison. Good observation.

Warpy

(111,254 posts)
5. It's really striking when you see the superclusters of galaxies
Wed Feb 29, 2012, 05:47 PM
Feb 2012

over a large area, it really does look like a thin section of brain tissue

tinrobot

(10,895 posts)
6. Who took that picture of the universe?
Wed Feb 29, 2012, 07:35 PM
Feb 2012

Who ever it was, he/she must have had a nice supra-dimensional camera phone with which to take it.

jwirr

(39,215 posts)
9. Interesting. Makes on wonder about the consequences of that similarity. On the other hand our
Fri Mar 2, 2012, 02:00 PM
Mar 2012

brains can often be very faulty - re the condition of the world - so do we really want the universe to work like us?

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