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Questions tagged [fractals]

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5 votes
1 answer
141 views

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 ...
Stroebel's user avatar
11 votes
3 answers
2k views

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....
Ginko-Mitten's user avatar
9 votes
5 answers
875 views

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 ...
N. F. Taussig's user avatar
3 votes
1 answer
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 ...
CCCCCC666666's user avatar
2 votes
2 answers
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 "...
Mandar's user avatar
  • 23
3 votes
2 answers
119 views

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, ...
SmmTex's user avatar
  • 33
6 votes
1 answer
1k views

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 ...
Mateyman's user avatar
1 vote
1 answer
159 views

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 ...
gjkf's user avatar
  • 595
14 votes
2 answers
682 views

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} \...
მამუკა ჯიბლაძე's user avatar
5 votes
1 answer
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 : \...
elidiot's user avatar
  • 173
5 votes
2 answers
684 views

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 ...
user avatar
3 votes
0 answers
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 ...
Academc's user avatar
  • 93
7 votes
1 answer
980 views

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{...
Thanasis's user avatar
  • 313
14 votes
5 answers
2k views

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 ...
M. Hughes's user avatar
  • 187
12 votes
3 answers
5k views

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{...
Mayers's user avatar
  • 513
8 votes
2 answers
1k views

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 ...
JSharpee's user avatar
  • 867
2 votes
1 answer
2k views

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 ...
JSharpee's user avatar
  • 867
2 votes
1 answer
664 views

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 ...
PercyF2519's user avatar
  • 1,025
13 votes
3 answers
1k views

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 ...
base12's user avatar
  • 133
2 votes
1 answer
1k views

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?
Francesco's user avatar
  • 100
0 votes
1 answer
1k views

Fractals in TikZ [closed]

How to draw a shape like below using fractals in tikZ?
Laura's user avatar
  • 159
12 votes
1 answer
761 views

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 ...
Shaun's user avatar
  • 293
6 votes
1 answer
326 views

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{...
Tobard's user avatar
  • 1,211
3 votes
1 answer
454 views

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 ...
Tobard's user avatar
  • 1,211
6 votes
1 answer
3k views

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 ...
user avatar
36 votes
6 answers
6k views

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 ...
gablin's user avatar
  • 17.1k
8 votes
2 answers
2k views

L-Systems and TikZ [closed]

I'm trying to use L-Systems in LaTeX, but the following minimal example exits with an error: \documentclass[a4paper, pdftex]{book} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw ...
Hugo Sereno Ferreira's user avatar