# Questions tagged [chaos-game]

In mathematics, the term chaos game referred to a method of creating a fractal, using a polygon and an initial point selected at random inside it.

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### Implementation of rotation in chaos games

I am trying to implement rotation in chaos games. I have the following implementation for determining the next point: ...
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### Chaos game and fractal polygons

Let $V=\{v_1,v_2,\cdots,v_n\}$ the set of $n$ vertices of a regular polygon. For $n=3$ the chaos game implies that with an arbitrary point on the plane $x_0$, and by applying the recursive relation ...
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### selecting a number according to probability

Could anyone just tell me what does he, mean by at the point $2$, selecting a number according to the probabilities, $p(x_0)$? does he meant to chhose the largest one out of $p_i(x_0), i=1,2,\dots,N$?,...
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### Peaks in the circle chaos game

The chaos game is a random walk that steps halfway between your current position and a set of predefined points. If the points are on an equilateral triangle, the resulting set is Sierpinski's ...
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### Chaos game to get specific fractal

In the Wikipedia page for Chaos Game, you can see this fractal, which is the result of the rule: A point inside a square repeatedly jumps half of the distance towards a randomly chosen vertex, but ...
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### The Chaos Game and Benford's law: will I notice the bias?

If I construct a Sierpinsky Gasket using The Chaos Game algorithm, but the random data I am using to decide the vertex of the next step is ruled by Benford's law (so it is partially biased), how would ...
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To generate the Sierpinski triangle illustrated below, there are at least $3$ approaches: The Deterministic IFS Algorithm: Determine the affine transformations $T_1,T_2,T_3$ that characterize the ...