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ExSan
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### Fractals - Patterns and Chaos

QuoteOriginally posted by: outrun3d fractals don't exist! That's the answer I got as a freshman when I asked my university prof the exact same question.Mandelbrot and Julia set use complex numbers and those are "2d". There are also "4d" complex numbers called quaternions, and also "8d" .. but not 3.http://math.stackexchange.com/questions ... numbersOne attempt to get 3d fractals is the http://en.wikipedia.org/wiki/Mandelbulb --of course there are 3d fractals, but not ones based on iterating complex numbers. E.g. it's easy to make a 3d version of http://en.wikipedia.org/wiki/Pythagoras ... tal%29frim strict mathematical point of view you are right. Take a look to thisQuoteOriginally posted by: tagomaEarth?s Most Stunning Natural Fractal Patterns
Last edited by ExSan on February 14th, 2015, 11:00 pm, edited 1 time in total.

ExSan
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### Fractals - Patterns and Chaos

Elementary Programming Challenges or hereThe 3n + 1 ProblemConsider the following algorithm to generate a sequence of numbers. Start with an integer n. If n is even, divide by 2. If n is odd, multiply by 3 and add 1. Repeat this process with the new value of n, terminating when n = 1. For example, the following sequence of numbers will be generated for n = 22:22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1...From the Downloadable File extract/execute program ExSan.If you are using Avast Antivirus, please disable it for a while in order to allow ExSan create output files.
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ExSan_V.5.02.A_3n_plus_one_problem.zip
Last edited by ExSan on February 18th, 2015, 11:00 pm, edited 1 time in total.

ExSan
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Posts: 4550
Joined: April 12th, 2003, 10:40 am

### Fractals - Patterns and Chaos

source: g+ Vladislav Yastrebov - Bifurcations and chaos in a non-smooth dynamic system.﻿Multiple-degree-of-freedom oscillator with a discontinuous stiffness. Natsiavas, S. "Dynamics of multiple-degree-of-freedom oscillators with colliding components." Journal of Sound and Vibration 165.3 (1993): 439-453.﻿

Cuchulainn
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### Fractals - Patterns and Chaos

Chaos and ODEs
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ExSan
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Joined: April 12th, 2003, 10:40 am

### Fractals - Patterns and Chaos

QuoteOriginally posted by: CuchulainnChaos and ODEsI must install Boost right away. It seems that some of the functions are already in this library. I do not want to re inventing the wheel. BTW does Boost have Euler / Kutta, ODE solver ?

tagoma
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Joined: February 21st, 2010, 12:58 pm

### Fractals - Patterns and Chaos

QuoteOriginally posted by: ExSanQuoteOriginally posted by: CuchulainnChaos and ODEsI must install Boost right away. It seems that some of the functions are already in this library. I do not want to re inventing the wheel. BTW does Boost have Euler / Kutta, ODE solver ?Chapter 1. Boost.Numeric.Odeint???Cuch showed an example use of this library some time ago if I remember well.

ExSan
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### Fractals - Patterns and Chaos

QuoteOriginally posted by: outrunYes that one is awesome! Sometimes I see someone buy one without being impressed by it and that always amaizes me that they aren't impressed.

ExSan
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### Fractals - Patterns and Chaos

Last edited by ExSan on March 1st, 2015, 11:00 pm, edited 1 time in total.

ExSan
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### Fractals - Patterns and Chaos

the-mysterious-motifs

tagoma
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### Fractals - Patterns and Chaos

QuoteOriginally posted by: ExSanthe-mysterious-motifsLOL!the Bower & Chorley circles...

tagoma
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Joined: February 21st, 2010, 12:58 pm

### Fractals - Patterns and Chaos

NumPy / SciPy Recipes for Image Processing: Creating Fractal Images

ExSan
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### Fractals - Patterns and Chaos

views 137730Elementary Programming Challenges or hereQuoteMaximum SumGiven a 2-dimensional array of positive and negative integers, find the sub-rectangle with the largest sum. The sum of a rectangle is the sum of all the elements in that rectangle. In this problem the sub-rectangle with the largest sum is referred to as the maximal sub-rectangle. A sub-rectangle is any contiguous sub-array of size 1 x 1 or greater located within the whole array.From the Downloadable File extract/execute program ExSan.If you are using Avast Antivirus, please disable it for a while in order to allow ExSan create output files.
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ExSan_V.5.02.C_max_min_sub_matrix.zip
Last edited by ExSan on April 13th, 2015, 10:00 pm, edited 1 time in total.

ExSan
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### Fractals - Patterns and Chaos

Benoit B MandelbrotBenoit B Mandelbrot
Last edited by ExSan on March 20th, 2015, 11:00 pm, edited 1 time in total.

ExSan
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### Fractals - Patterns and Chaos

QuoteOriginally posted by: Benoit B MandelbrotBenoit B MandelbrotBenoit B Mandelbrot

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