Fractal Definition and 95 Threads

In attempting to arrive at a fair critique of Alexander de Seversky's "Combat Plane" concept, I discovered something unexpected about the "Combat Box" formation developed in late 1942 by then-Colonel Curtis LeMay. In particular, the numerical and spatial organization of the Combat Box...

Homework Statement 13.2 A quadratic Julia set has the form z(n+1)=z(n)^2+c The special case where c=-.123+.745i is called Douday's rabbit fractal. Follow example 13.1, and create an image using this value of c. For the Madelbrot image, we started with all z-values equal to 0...

I was thinking about the time reversal explanation of the double slit experiment, where the anti-wave-particle goes back in time and interferes with the wave-particle that we observed hit the target. Since we don't actually observe this phantom particle that is traveling back in time (and...

Now pardon me but my math isn't quite as good as it should be, But I've read a fair amount of mandelbrots material and the premise behind his theories as best as i can. The other week while looking at a liquid cooling radiator for my computer, i had the odd idea of instead of a single tube...

am currently working on a project for simulating fractal antenna behaviour using anfis..i got 5 parameters of antenna as the inputs and its return loss as its single output. i got such 150 sets of known inputs and outputs of which i divide it into partly checking sets and training sets.. ... i...

Hello! I am currently looking for a fractal program for my mac, preferably with free download :) I want to be able to draw a pattern and the program compares this to a fractal that it can generate (hope that makes sense). I mean that instead of entering the complex number in say a julia set...

Homework Statement I'm currently trying to work my way through Frank Morgan's Geometric Measure Theory and I had a quick question regarding his definition of Hausdorff measure. Which is: Homework Equations $\mathscr{H}^m(A) = \lim_{\delta \rightarrow 0} \inf \left\{ \sum \alpha_m \left(...

I've made an experiment similar to the one found here: http://classes.yale.edu/fractals/fracanddim/boxdim/PowerLaw/CrumpledPaper.html The result was: the mass of crumpled paper balls is proportional to D^n, being D their mean external diameter, and n ≈ 2,5. As n is not an integer, the...

i came up with a fractal that may have an application in electronics but i don't know what it could be used for. picture a coil wrapped around a coil and so on. picture a small wire half the gauge of a larger wire in which the small wire is wrapped around and the product is coiled around a...

Hello! Does anyone know if rhombic dodecahedra can be recursively tiled in a fractal manner? In other words, I am looking for the 3D equivalent of a Gosper Island, whose 7-segment generator can be inscribed within a 7 hexagon clump. 7 of those can be tiled. And 7 of those can be tiled again...

Disclaimer: I am a science buff – not a scientist. I am curious to know if there has ever been a theory developed about the infinite nature of the universe, large and small, relating to a fractal structure. I was pondering fractal subdivision, and how it offers at least the theoretical...

(Maybe this should go under General Math or maybe even Topology but since it's about the dimension of the universe I'll put it here. Feel free to move it.) I've had too much coffee and on one my frequent wiki binges - reading about life, the universe and everything - I've come up with a...

I have read (sorry, I no longer have access to the source, which is the reason for the question (1) below) that one can find a fractal pattern if one (a) shoots an electron through a two-dimensional plane perpendicular to a homogeneous magnetic field traversing a quasicrystal so that the...

Hi, this is not based on detailed work but just an idea which arised comparing causal dynamical triangulations and loop quantum gravity. In CDT it seems reasonable to treat spacetime as a fractal. That means there is no limit or minimum length in the triangulations, but the triangulations...

So I'm creating a very basic fractal tree function in matlab. The function is supposed to create a fractal tree where each branch comes out at 90 degrees so it looks like a bunch of T's just put together. Currentley I am running into the problem where I can not get the branches to plot in the...

fractal encryption -- decoding? I have read (sorry, I don't have the references handy, but they were vague anyway) two brief descriptions of fractal encryption. The first one is to use a strange attractor to generate pseudo-random numbers, and to use these numbers in a standard coding scheme...

What is the difference between fractal dimension determined by surface profilometry and Hg porosimetry? For example, for a given dataset, say samples 1-5, the backbone fractal dimension determined by Hg porosimetry increases from 2.5 to 3 (the percolation fractality is 3 for all samples). For...

At least one of us at this discussion board has expressed an interest in fractal modeling of spacetime, or of dynamics.* This paper by Calcagni may be suggestive of what form such an approach could take. http://arxiv.org/abs/1001.0571 Quantum field theory, gravity and cosmology in a fractal...

Please do your best with this one. The claim is not restricted to purifying water... these people are also convinced they can generate gravity with a fractal field as well as, create power for vehicles... among other things. http://www.fractalfield.com/ Thank you!

Hi All, I'm no expert, nor have had any training, i just read a lot so I would be interested in some debate about an idea I have after reading lots of different things. To try help explain the idea I've drawn a crude picture which is attached. Can anyone explain to me the possibility of...

I have read speculations that (1) the cosmic microwave background radiation has a fractal distribution (non-integral Hausdorff dimension), and (2) the same might be true of galaxy cluster distribution (although different dimensionality to (1)) Whether or not one or both analyses are...

does fractal geometry when applied to physics state that no matter how far you zoom in on something you never reach a fundamental discrete or quantized level? someone told me that a while ago and I am now currently interested in fractals and their application with nature.

Fractal dynamics is the name I give to a research program I hope one day to embark on. My idea is that nature is actually a dynamical fractal in the following sense: there are many scales on which we can describe nature if we stick to a single scale then we can describe the physics using some...

are prime fractals, or have a fractal geometry ?? my idea is, if we consider the geometry of primes could we conclude they form a fractal ? , for example if we represent all the primes using a computer, it will give us a fractal pattern. according to a paper...

Hi, What exactly is the importance of the Mandelbrot set in general? From what I've read, it seems more of a mathematical play thing than anything else.. there must be more to it than the disturbing pictures, no? Also, is there an easily understandable proof anywhere showing that the...

http://arxiv.org/PS_cache/arxiv/pdf/0812/0812.3857v1.pdf Quote. In the first part of this contribution, we review the development of the theory of scale relativity and its geometric framework constructed in terms of a fractal and nondifferentiable continuous space-time. This theory leads...

I'm not exactly even sure what group to post this in-- as a child (perhaps 10 years old or so), I happened upon this fractal pattern by folding a piece of paper in half multiple times. Anyway, some years later, when I learned more about fractals, I recognized it for what it was, but I never was...

Can someone tell me how to do this?

Unfortunately my level of maths does not allow me to fully understand fractals. I am at a tenth grade level of mathematics and my understanding of fractals is minimal. Very minimal. After searching the net tirelessly I have realized that any information available to my level of understanding...

Hey, first I want to say my English & Math aren't the best yet, so ill be glad to explain myself again if I'll need to :smile: I hope this question belongs to this section. I want to ask, is there today a way to do calculations about vectors above fractal dimension? (and I would like to...

This came to me in the middle of the night. Literally. I got up and wrote it down at 4:09am. Having lain awake in bed pondering it for at-least an hour. I clearly need to get out more. Scientific belief is a funny thing... Inductivism hasn't had it easy in the last century or two. While...

Hey if you guys look up Fractal on Wikipedia, you see the author states that the Koch Snowflake, a common and famous fractal, supposedly has an infinite perimeter yet finite area. It sed it would be infinite perimeter because it keeps on adding perimeter with each iteration. How ever, i thought...

Are any of you interested in fractals either as science or art? I am trying to open a new forum about fractals in order for peopleto share fractal images, formulas, theoretical backround, info etc. This is brand new so be one of the first people to ever post in http://www.fractalforum.tk" .

Greetings, A thought occurs about a (possibly) fundamental pattern in nature. Why are there several scales of magnitude in which a smaller body spins, while orbitting a larger body? Examples. 1) A galaxy like the Milky Way has an orbital momentum around the core of its Local Cluster...

Hi. How can I "experimentally" (by way of computer simulation) calculate an approximate value for the dimension of a fractal object? The object in question is the Lorenz strange attractor, which has a dimension between 2 and 3. Also, I know there is a number of different ways to define...

What other curves are there that cannot be described by the above? Are trigonometric functions actually a special case of exponentials with complex powers?

Lets take the cantor middle thirds set as an example (Iterate by removing the middle portion of a line segment) If this was done an ACTUAL INFINITE number of times, would you be left with line segments, points, or neither?

Fractal or ?? Let consider the well known Einstein Idea of local time disposed on Earth (attached to material points). Nobody can forbid me to consider this whole Earth (global realtive to earth) as a point again, with only one space-time coordinate (this way is easy of course, but the other...

What does "like a fractal" mean, talking smallscale spacetime A poster asks: "What is meant by spacetime is a fractal, fractal like or has a kinky fractally structure ? I know what a fractal is and what they look like, so is it an appearance of fracticality or actually fractal and does...

The Real-Line also has a fractal nature ------------------------------------------------------------------------------------------------- The standard definition: "Real line" is used to mean real axis, i.e., a line with a fixed scale so that every real number corresponds to a unique point...

------------------------------------------------------------------------------------------------------ "Real line" is used to mean real axis, i.e., a line with a fixed scale so that every real number corresponds to a unique point on the line. (http://mathworld.wolfram.com/RealLine.html)...

Hi all, I was wondering if anyone of you has read the book of Laurent Nottale Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity why is not his approach adopted ?- as apparently, he extended the principle of relativity to scales and thus proposes a unifying...

if so, that prooves that the universe can be created without any inteligent design (does not say the universe was not created with an inteligent design, God could have designed it to be fractal) it further prooves that if the universe is a fractal function, then no Divine action has taken...

Okay this problem sounded neat, but I'm stuck on it. How would one go about finding the moment of inertia of Sierpinski's triangle about an axis through its center and perpindicular to the triangle? Any thoughts?

Nice...isn't it ? http://www.angelfire.com/pro/fbi/fractcell.bmp Generated with life32, rule V:s01234/b13 and one original cell...generation 440...zoom 1/2...