# Questions tagged [fractal]

Fractals are shapes that are self-similar and are usually quite detailed. Well-known fractal sets include the Mandelbrot set, Julia sets, and Phoenix sets. Tree-like fractal drawings are also common.

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### Computer Generated Textured Wall Paint

The paint on the walls in my room has a random, almost fractal-like, 3-dimensional texture: In this challenge you will write a program that generates random images that look like they could be part ...
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### Graphical Representation of Koch Snowflake

Generate a Koch Snowflake A Koch snowflake is a triangle that for each n, another equilateral point is added in the middle of each side: http://en.wikipedia.org/...
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### Sierpinski Carpets

Who doesn't love a good fractal? The Sierpinski Carpet is a classic example of a fractal. To complete this task, you will be required to generate a carpet of type $n$ and print the resulting image ...
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### Draw a Fractal in Under 200 Characters [closed]

After noticing all the fractal submissions/questions, I thought it would be fun to start a contest where everyone submits their favourite fractal. The Contest Generate a fractal in under 200 ...
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### Sierpinski Layers

Starting with /\ you can create a Sierpinski triangle like pattern by adding a line beneath such that... Any loose branch / or <...
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Given three mutually tangent circles, we can always find two more circles which are tangent to all three of those. These two are called Apollonian circles. Note that one of the Apollonian circles ...
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### Play the Chaos Game

The Chaos Game is a simple method to generate fractals. Given a starting point, a length ratio r and a set of 2D points, repeatedly do the following: From your set of points, pick one at random (...
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### Draw the Hilbert curve using slashes

The Hilbert curve is a space filling fractal that can be represented as a Lindenmayer system with successive generations that look like this: Thanks to http://www.texample.net/tikz/examples/hilbert-...
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### Mandelbrot image in every language

I always used a Mandelbrot image as the 'graphical' version of Hello World in any graphical application I got my hands on. Now it's your guys' turn. Language must be capable of graphical output or ...
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### Create a fractal tree

What I would like to see is a fractal tree being drawn where the you can input an integer, and the output will be a fractal tree with the entered amount of branch steps. Rules: The fractal should be ...
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### Build the blancmange function

The blancmange function is used as an example in basic calculus of a function that is continuous everywhere, but differentiable nowhere. It achieves this effect by using the sums of ever-diminishing ...
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### "Sorry, young man, but it's Turtles all the way down!"

Execute a Lindenmayer System A Lindenmayer System (or L-system) is related to Thue and Post systems, and is used in botanical modeling and fractal generation. An L-system is described by string-...
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### Draw A Sierpinski Triangle

The Sierpinsky Triangle is a fractal created by taking a triangle, decreasing the height and width by 1/2, creating 3 copies of the resulting triangle, and place them such each triangle touches the ...
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### Print a Cantor Set

The Challenge Build a N-Leveled Cantor Set. The Cantor ternary set is created by repeatedly deleting the open middle thirds of a set of line segments. The program receives one parameter ...
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### Generate a mandelbrot fractal [closed]

Your task is to draw the mandelbrot set in ascii. It should look something like The complex number c lies in the mandelbrot set, when the sequence ...
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### Generate Newton fractals

You all know the Newton method to approximate the roots of a function, don't you? My goal in this task is to introduce you into an interesting aspect of this algorithm. Newton's algorithm converges ...
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