Questions tagged [fractals]
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139 questions
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How can I word this “decimal-stripped prime with digit-length” condition for plotting in WolframAlpha? [closed]
I want WolframAlpha (or Mathematica / Wolfram Language) to generate a graph based on a custom “prime” rule that I’ve been experimenting with. The rule is:
Take a real number N.
Remove its decimal ...
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Generate a Table for the Onset of Period Doubling for the Sine Map
Below is my Mathematica code to generate the bifurcation diagram of the sine map x_n+1 = rsin(Pix_n) or in this form f(x) = rsin(Pix). (How to isolate the bifurcation points from the sine map's ...
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How to isolate the bifurcation points from the sine map's bifurcation diagram
I have the following code for the bifurcation diagram of the sine map. It works well but I would like to isolate where the onset of period doubling begins (the bifurcation points) along the horizontal ...
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Viscous flow around the Mandelbrot set
7 years ago, I built this picture and constructed mesh
...
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Rendering images by space-filling fractal curves
Any ideas how to implement something like this? I stumbled upon this interesting video. Here is a small part in animated GIF:
and here is a high resolution frame to look at details.
Relevant code ...
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Generate a similar image with the possibility to insert a phrase
inspired by the attached fractal image, how can I generate the same effect with MMA, but with the possibility of inserting a specific text?
Any help is welcome, thank you in advance.
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How to obtain the frontier of a 2D Brownian walk?
Given the definition: The frontier of Brownian motion is the boundary of
the unbounded component of the complement of Brownian motion.
Graphically, the frontier is in red:
How can one isolate the ...
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How to get the box-counting dimension of a fractal given by an array?
Question
Let's say we have an array that via ArrayPlot gives us an approximate plot of a fractal. E.g. the Mandelbrot set:
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Generate 3D graphics with fractal geometry slices like Julia set
Each slice is an approximate curve of JuliaSet and the entire surface is "smooth".
The specific difficulty is
julia set is a fractal function of iteration, it cannot expressed as the ...
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4
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Reproduce the annulus fractal
I've made some attempts, but I don't know how to set the color and thickness of the circle.
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Diploria labyrinthiformis - can we reproduce Ernst Haeckel's drawing of a brain coral?
Ernst Haeckel (1834 - 1919) was a German philosopher, physician, artist and professor of zoology at the University of Jena. He promoted and popularised Charles Darwin's work in Germany.
Haeckel (left)...
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How to weave Anni Albers Red Meander carpet?
Anni Albers (1899 - 1994) was a German artist regarded as one of the most influential textile designers of the 20th century. Since 1931 Albers was head of the Bauhaus weaving workshops in Dessau and ...
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How can I draw sequence of these fractal squares?
For the first square, I tried
Graphics[{Green, Rectangle[{0, 0}, {3, 3}]}]
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How to recursively subdivide a quadrilateral?
I have the following problem which is most easily described by this diagram:
We start off with a quadrilateral, not necessarily a square, with four fixed points, here represented in green. We have a ...
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I want to graph a heatmap for three parameter data
I want to plot a heatmap where $x$ varies from $0.1$ to $1$, $y$ varies $0.1$ to $1$, and a third parameter representing image generation times for different $(x,y)$ will be the input to a ...