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What is a good book to learn fractal programming? I am a programmer, I am looking at a book that will be more algorithmic than mathematical (at least not in the beginning chapters). Should teach me the basics of fractals and different ways to generate...
Started by on , 6 posts by 6 people.  
Some links Fractal Programming Fractal Geometry You might find the electric/Mandelbrot/ For more than just Mandlebrot stuff if you can get ahold of " The Science of Fractal Images/Fractal-generating....
Need both approaches.
Protist I read a few articles, and I already know how fractals themselves work, but I don't get how I'd write a formula for them or make them on paper. Basically all I know about them mathematically is that in a Julia set it just repeats a function over...
Started by on , 14 posts by 6 people.  
The book Fractal Geometry, Mathematical into a graphing calculator....
Try Fractal Geometry, Mathematical Foundations and Applcations on measure theory, which itself is a significant topic.
Wiki is not always the best reference.
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On Tue, 4 Nov 2008 15:06:32 -0800 (PST), Remysun <remysun2000@yahoo.com That Nova episode on fractal geometry blew me away. Are there any actual fractal TV anteenas on the market?
Started by on , 4 posts by 3 people.  
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Yes, but to get them to work you have to stand between two mirrors... .
On Wed, 5 Nov 2008 15:22:51 -0600, "alien" <nofenders@invalid.invalid "Remysun" <remysun2000@yahoo.comnews:e042d20b-f006-4537-bbf5-086139dea90d@c36g2000prc.googlegroups.com.. .
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On Thu, 26 Mar 2009 07:07:37 -0800, Roger Bagula <rlbagula@sbcglobal.net http://nextbigfuture.com/2009/03/theory-of-space-time-with-quantum-scale.html Theory of Space Time with Quantum Scale Fractals The Invariant Set Hypothesis: A New Geometric...
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If Benedetti....
Abs/0811.1396 Fractal properties of quantum spacetime Authors: Dario Benedetti (Submitted on 10 Nov a spacetime having a quantum group symmetry has also a scale dependent fractal dimension which deviates and make some progress.
On 12 Jun 2009 03:32:26 GMT, Peter Billam <peter@www.pjb.com.au Greetings. Are there any modules, packages, whatever, that will measure the fractal dimensions of a dataset, e.g. a time-series ? Like the Correlation Dimension, the Information Dimension...
Started by on , 24 posts by 11 people.  
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It's got to be uncountably infinite, and therefore the fractal dimension of ....
Measure, Topology and Fractal Geometry" and Proposition 2.4.10 on page 69 states: "The sequence (gk-infinite set, can have a fractal dimension.
On Sun, 14 Jun 2009 21:23:31 +1200, Lawrence D'Oliveiro <ldo@geek-central.gen.new_zealand In message <slrnh33j2b.4bu.peter@box8.pjb.com.au I don't think any countable set, even a countably-infinite set, can have a fractal dimension. It's got...
Started by on , 37 posts by 12 people.  
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Strictly speaking....
Koch's snowflake, for example, has a fractal dimension of log 4/log 3 ≈ 1.26, a finite area of 8/5 infinite and computable.
D'Oliveiro <ldo@geek-central.gen.new_zealand I think there are attempts to estimate the fractal.
On Wed, 21 Oct 2009 16:35:23 -0700 (PDT), "Robert L. Oldershaw" <rloldershaw@amherst.edu Regarding arxiv:0910.3374v1 (another just-so story) Hogg says: "a fractal universe is untenable". He looks at nature and can only see a homogeneous blur....
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He talks about the Darwin ship Beagle without really seeming to know that the sand... .
He calls the fractal model "inhomogeneous".
Sort of model: what he calls ACDM and contrasting it in words only to the DGP and fractal universe type models.
On Fri, 9 Oct 2009 14:17:02 -0700 (PDT), OwlHoot <ravensdean@googlemail.com A few years ago someone (could well have been Ian Stewart) wrote an interesting New Scientist article about a curious result in a rather recondite area of geometry. The...
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"Professor Hoot" sounds.
I call you Owl?), Kenneth Falconer's Fractal Geometry, Wiley, 1990, sketches a proof of the "digital - Of course, why didn't I think of that? "fractal geometry" is exactly what it is.
Come to think of it, since Fractal geometry is basically the conglomeration of self-similar objects such as triangles to compose a mountain range. That the Fractal theory would be a tiny subset of Fourier Analysis since that is basically the conglomeration...
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And the reason I think of Quantum Mechanics, Maxwell Equations... .
Of course mathematics has the big programs of geometry and arithmetic, but then it has-- geometry versus arithmetic and Calculus versus Fourier Analysis.
Convergence theory.
On Sun, 8 Nov 2009 00:30:28 -0800 (PST), All-seeing-I <apc57@email.com Yet even more evidence for creation: The M-Set in nature cleary shows the hand of God in the design of the universe itself. http://www.livephysics.com/physics-videos/documentary...
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John.19071969@gmail.com On Nov 8, 1:30 am, All-seeing-I <ap...@email.com Fractal sets of the variety geometry and tensor calculus were also mathematical curiosities before General Relativity.
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