# Questions tagged [fractals]

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### Is there a way to randomize a Lindenmayersystem?

I'm trying to draw a classical Koch-Curve using the lindenmayersystem, but everytime a line segment is transformed there should be a 50/50 chance of it to be flipped left or right. The goal is to ...
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### Using LaTeX/TikZ for fractal flower

I am trying to generate this particular fractal image of a flower, but don't even know where or how to start. Can TikZ be used to generate a "Phylotactic spiral"? I saw it here: https://www....
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### How to create iterations of the Sierpinski carpet

What I want to do is create a sequence of iterations of the Sierpinski carpet. The Sierpinski carpet is created by dividing the square into nine congruent subsquares and removing the middle one, then ...
134 views

### Make the curve be a fractal curve like complex Brownian motion

This is my curve My LaTeX code is \documentclass{standalone} \usepackage{tikz} %\usetikzlibrary{decorations.pathmorphing} \begin{document} \begin{tikzpicture} %\pgfmathsetseed{666666} \node (Koo) at ...
157 views

### Towards a square filling curve and Lindenmayer system drawing library

I am trying to obtain the first terms of a sequence of curves that converges to a curve in the family of well known plane (or space) filling curves. This is a variation I found in the book "...
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### I can't take my shape one step further. how can I draw more

I can't keep repeating the shape in the corners. I can't issue a command like corner of the corner. I want it to continue in a loop like fractal but I couldn't make the loop. With the command I wrote, ...
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### Creating an Altered Form of Sierpinski Gasket in Tikz

I'd like to adapt the example here to create a triangle similar to the Sierpinski gasket: How to create a Sierpinski triangle in LaTeX? Essentially I'd like to create the altered form of the gasket ...
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1 vote
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### Fill under a fractal curve

I am creating a class that I will use for my notes and, as the front page, I intended to have a fractal running through the diagonal of the page and the two parts created by the path, filled with ...
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### A Lindenmayer system case

Obviously the optimal way to make something like this is the Lindenmayer systems in TikZ. Here are some attempts of mine, kept per suggestion in a comment. \documentclass[tikz]{standalone} \...
601 views

### Lindenmayer systems in TikZ

Good evening, I am trying to understand how the TikZ library lindenmayersystems works, more precisely I have some problems with the following code, that I tried to make as clear as possible : \...
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### How to draw 'English coastline' fractal?

As far as I know, fractal, especially fractal dimension, is really related to the coastlines of countries. The fractal shape of the coastline and the border of United Kingdom of Great Britain and ...
573 views

### Generating a fractal letter and/or alphabet?

Is it possible in TeX or MetaFont etc. to generate a "character" that displays as a single letter at one scale but as a different character or even an entire alphabet at different scales? So at ...
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### Tikz Fractals - How can I create this snowflake pattern?

I am playing around with tikz and am trying to reproduce the figure below: My code so far is as below, \documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.fractals} \begin{...
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### Square fractal generation in tikz

I'm trying to recreate this exact diagram using tikz. So far I have been attempting to use nested decorations in tikz since I used these for other fractal constructions. However, these constructions ...
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### Animated Koch Snowflake

I draw a Koch Snowflake in TikZ. My code is below. \documentclass[border=10pt]{standalone} \usepackage{tikz} \usetikzlibrary{arrows,intersections} \usetikzlibrary{decorations.fractals} \begin{...
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### Tikz Fractal - Sierpinski Hexagon

Yet another attempt at a Fractal construction. This time I am trying to draw the Sierpinski Hexagon: I think this should be easy enough to do using l-system. My question is a slightly broader one ...
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### Drawing a simple Fractal in Tikz [duplicate]

I am trying to draw a fractal in tikz that is not a 'common' one - so I'm a little stuck. It is essentially the Sierpinski Casket but with a square instead of a triangle. Start with the (solid) unit ...
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### Animated Mandelbrot

This is a seemingly difficult question I think. I am (or at least will be) writing a dissertation of Fractal Geometry which is to be submitted electronically. For obvious reasons, I will be hoping to ...
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### Making custom Koch decoration with angle parameter in Tikz

So I'm trying to draw a fractal similar to the Koch Snowflake, so I want to define my own decoration that does the same thing but lets you specify the angle. For example in this picture the angle is ...
• 133
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### Generating a Sierpinski Carpet with Tikz

how to produce a Sierpinski squared carpet with tikz? I saw many Sierpinski triangles on the web, but I cannot find anything with the square. Anyone knows how to do it?
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### Fractals in TikZ [closed]

How to draw a shape like below using fractals in tikZ?
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### Drawing All Over Sierpinski (in LaTeX)

I'd like to draw attention to particular instances of self-similarity in Sierpinski's triangle in LaTeX. Moreover, I would like to do so in a way that is customisable; that is, so that I can focus on ...
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### Bad segment length evaluation in Tikz l-system

I would like to draw a fractal tree with Tikz lindenmayersystems library. Here is the code I use: \documentclass[tikz]{standalone} \usepackage{tikz} \usetikzlibrary{lindenmayersystems} \begin{...
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### How to use several angle values in tikz l-system?

I need help on Tikz lindenmayersystem library. In this topic, JLDiaz presented a solution to draw segments of several lengths thanks to the command: \symbol{S}{\pgflsystemstep=0.6\pgflsystemstep} Is ...
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### Fractals with LaTeX [duplicate]

Possible Duplicate: Generate Mandelbrot images using TikZ? Is there a professional package to plot the most important fractals with LaTeX? I searched in internet, but none of the result is ...
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### Generate Mandelbrot images using TikZ?

In my thesis that I'm writing on, I'm using a Mandelbrot generator to test an application I've written. To explain a certain problem discussed in the report an actual generated image need to be ...
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