Drew a basic version of my new favorite fractal, the Koch Curve.
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πŸ‘€οΈŽ u/LeGayInsomiacFrog
πŸ“…οΈŽ Jan 12 2022
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I made a fractal called "Koch's Snowflake Curve" in Shapez.io!
πŸ‘οΈŽ 11
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πŸ‘€οΈŽ u/ThermittyFromCodM
πŸ“…οΈŽ Dec 19 2021
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Fractal Attractor Curves youtu.be/tiUzYGgcQAY
πŸ‘οΈŽ 2
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πŸ‘€οΈŽ u/Parametrichouse
πŸ“…οΈŽ Dec 24 2021
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Fountain Pen Bot drawing the Dragon Curve fractal [OC] v.redd.it/96wu9q0lw2q71
πŸ‘οΈŽ 139
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πŸ‘€οΈŽ u/alterom
πŸ“…οΈŽ Sep 27 2021
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4 Simulations with python: - Falling sand (cellular automata) - Hilbert curve (Fractal) - Ant colony Simulation - N-body Simulation (gravity) youtube.com/watch?v=M39R2…
πŸ‘οΈŽ 21
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πŸ‘€οΈŽ u/auctux
πŸ“…οΈŽ Oct 31 2021
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So I found this cool fractal called the Levy curve and showed it to my friend but then my friend pointed this out and I will never look at Flowey the same way again. reddit.com/gallery/pcezxc
πŸ‘οΈŽ 28
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πŸ‘€οΈŽ u/nip_dip
πŸ“…οΈŽ Aug 27 2021
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Unfolding the Dragon Curve fractal over 15 iterations
πŸ‘οΈŽ 264
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πŸ‘€οΈŽ u/AsAChemicalEngineer
πŸ“…οΈŽ Jul 12 2021
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Gosper curve fractal jigsaw puzzle generator
πŸ‘οΈŽ 83
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πŸ‘€οΈŽ u/ProceduralJigsaw
πŸ“…οΈŽ May 03 2021
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When the wife says "I want one of those." My first attempt at combining fractal burning with epoxy river. Still on the learning curve but getting really close.
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πŸ‘€οΈŽ u/tongate758
πŸ“…οΈŽ Jun 19 2021
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The Hilbert Curve - A Space Filling Fractal
πŸ‘οΈŽ 45
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πŸ‘€οΈŽ u/DiscreteGames
πŸ“…οΈŽ Apr 19 2021
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[OWOP Bot|#pixel-art] from TheForgotten#4085: dragon curve fractal. this took me too much time to make without pasting
πŸ‘οΈŽ 8
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πŸ‘€οΈŽ u/ledlamp89
πŸ“…οΈŽ May 06 2021
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Colored dragon curve fractal using python
πŸ‘οΈŽ 51
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πŸ‘€οΈŽ u/Wallywutsizface
πŸ“…οΈŽ Feb 11 2021
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Based on the Hilbert curve - "a continuous fractal space-filling curve"
πŸ‘οΈŽ 62
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πŸ‘€οΈŽ u/liizard
πŸ“…οΈŽ Aug 12 2020
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Fractal charm: Space filling curves::: (Interesting. Reminds me of information charts. Reminds me also of frequency images. Also reminds me using A.I. to infiltrate circles or physical regions through tunneling & surrounding the opposition target.) youtube.com/watch?v=RU0wS…
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πŸ‘€οΈŽ u/DomPachino
πŸ“…οΈŽ Mar 19 2021
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Dragon Curve Fractal Scarf
πŸ‘οΈŽ 1k
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πŸ‘€οΈŽ u/alien-dna
πŸ“…οΈŽ Nov 03 2019
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Dragon curve fractal generator
πŸ‘οΈŽ 73
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πŸ‘€οΈŽ u/PM_ME_UR_SHORT_STORY
πŸ“…οΈŽ Sep 05 2020
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One of my students designed and 3D printed a developing fractal at home based on the Sierpinski Arrowhead Curve and made this fantastic video explaining the entire process. Let's show him some love! youtube.com/watch?v=yMgao…
πŸ‘οΈŽ 31
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πŸ‘€οΈŽ u/tomrocksmaths
πŸ“…οΈŽ Dec 10 2020
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Hilbert curve fractal image generator (feat. Nick C.) v.redd.it/nev0oyxfzxf41
πŸ‘οΈŽ 275
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πŸ‘€οΈŽ u/LoredCast
πŸ“…οΈŽ Feb 09 2020
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Rate my pyramid! Its shape is a fractal inspired by the blancmange curve.
πŸ‘οΈŽ 28
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πŸ‘€οΈŽ u/realmathtician
πŸ“…οΈŽ Apr 19 2020
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[720*720] Hilbert curve [OC] - Part of my classic fractal images
πŸ‘οΈŽ 81
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πŸ‘€οΈŽ u/Coreander3082
πŸ“…οΈŽ May 04 2020
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One of my students designed and 3D printed a developing fractal at home based on the Sierpinski Arrowhead Curve and made this fantastic video explaining the entire process. Let's show him some love! youtube.com/watch?v=yMgao…
πŸ‘οΈŽ 5
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πŸ‘€οΈŽ u/tomrocksmaths
πŸ“…οΈŽ Dec 10 2020
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Weierstrass Function made only with nodes. It's a curve that's continuous everywhere but differentiable nowhere. More fractals in comments. v.redd.it/2b65lus22a261
πŸ‘οΈŽ 2
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πŸ‘€οΈŽ u/crezey21
πŸ“…οΈŽ Nov 30 2020
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Athenas curve, interesting fractal generated from a recursive triangular lattice
πŸ‘οΈŽ 13
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πŸ‘€οΈŽ u/TuringTitties
πŸ“…οΈŽ Oct 06 2020
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LΓ©vy C curve Fractal youtube.com/watch?v=ihOG-…
πŸ‘οΈŽ 6
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πŸ‘€οΈŽ u/tonytiny
πŸ“…οΈŽ Aug 16 2020
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The Hilbert curve, a fractal that can be used to fill a finite area with line that reaches an almost infinite length. Credit: 3Blue1Brown (https://www.youtube.com/watch?v=3s7h2MHQtxc&t=451s) v.redd.it/k7nwdem2m2951
πŸ‘οΈŽ 18
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πŸ‘€οΈŽ u/Joseph_M_034
πŸ“…οΈŽ Jul 05 2020
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LΓ©vy C curve |Fractal youtube.com/watch?v=ihOG-…
πŸ‘οΈŽ 4
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πŸ‘€οΈŽ u/tonytiny
πŸ“…οΈŽ Aug 16 2020
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Ultra Fractal: luklear + Spiral + Bezier Curve + Formula Plotter
πŸ‘οΈŽ 2
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πŸ‘€οΈŽ u/PriestofSB
πŸ“…οΈŽ Sep 20 2020
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Could Fractal Mathematics and "Roughness" be used to describe any non-smooth graphical curve?

Hey guys. I just watched Grant's video today about Fractals, and I instantly fell in love with the concept behind it. It actually inspired me to look more into the subject about Fractal Geometry (which led me to this amazing documentary on the subject) and how Fractals can be used to describe almost any shape or system originating from nature.

One particular aspect about fractals that intrigues me is this idea of "roughness" (i.e. to what degree do the sharp points of a shape/graph diverge from the median of that shape/graph).

Please feel free to correct me if I'm wrong, but this idea feels like the polar opposite to that of Calculus which can help express the shape of any smooth curve by knowing the derivative (the derivative tells you the instantaneous slope of that curve and can use this information to express the function of the graph via an integral) (totally forgot that he said this, but this is basically what Grant says at the start of his video lol).

Going back to my original question in the title, would it be possible to do something similar, where we determine the roughness of some non-smooth graph to gather a median line (which can either be some straight line or a curve if the graph rises or falls at certain points) and use this information to work out an expression for the graph? I.e. a roughness integral for determining a non-smooth graph?

For you mathematicians out there who could actually read this, here is a paper that explains different methods for calculating the roughness of a graph.

There are other questions I have too, like could we develop standard equations for fractals to estimate perimeter (which I know is technically infinite) and area (similar to the equations for the circumference and area of a circle for example) or have fractals replace our commonly understood equations for physics to get more accurate results (like helping to describe the motion of a pendulum for example), but I'm willing to settle for an answer to my first question lol

(Also, sorry if my question makes no sense. I'm not a mathematician (the furthest I went in university was Differential Equations back a few years ago), but I spent all day thinking about this and it seems like something that might be possible, bu

... keep reading on reddit ➑

πŸ‘οΈŽ 27
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πŸ‘€οΈŽ u/DarkenRaul1
πŸ“…οΈŽ Apr 14 2019
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Dragon curve |Fractal youtube.com/watch?v=544Zb…
πŸ‘οΈŽ 3
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πŸ‘€οΈŽ u/tonytiny
πŸ“…οΈŽ Jul 20 2020
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Last year I did a Moore Curve fractal in three layers in interlocking crochet. Revisited the idea to show a simpler one and the types of layers used.
πŸ‘οΈŽ 34
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πŸ‘€οΈŽ u/ComplexKate
πŸ“…οΈŽ Mar 25 2020
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Dragon Curve fractal in JS v.redd.it/et8ulzk5fml31
πŸ‘οΈŽ 22
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πŸ‘€οΈŽ u/John_The_3rd
πŸ“…οΈŽ Sep 09 2019
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Gosper Curve fractal puzzle
πŸ‘οΈŽ 13
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πŸ‘€οΈŽ u/TigerDollar
πŸ“…οΈŽ Feb 10 2020
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Rose curve mandelbrot fractal [1600x1280] [OC]
πŸ‘οΈŽ 49
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πŸ‘€οΈŽ u/kholdstayr
πŸ“…οΈŽ Nov 01 2019
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Koch snowflake, Koch square, fractal tree, LΓ©vy C curve, dragon curve
πŸ‘οΈŽ 304
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πŸ‘€οΈŽ u/Wallywutsizface
πŸ“…οΈŽ Mar 04 2018
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Does anyone know the fractal on the cover of this book? It's a curve that fills the Koch snowflake. I want to learn more about it
πŸ‘οΈŽ 10
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πŸ‘€οΈŽ u/chameleon_world
πŸ“…οΈŽ Mar 21 2019
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1967 article in Scientific American on Recursive fractal curve, even then named the "Dragon Curve"

https://preview.redd.it/ukj6d3qh2rq31.jpg?width=695&format=pjpg&auto=webp&s=ea2c5f9aeda6c70ef2ffd094f08ffc711fe8e49c

πŸ‘οΈŽ 8
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πŸ‘€οΈŽ u/chamblis
πŸ“…οΈŽ Oct 05 2019
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This shungite stone is natural to my knowledge, and it has an unmistakable face (chubby) that looks like its wearing the headress of royalty. And its face doesnt light up all at once, but it shines around its curves. Shungite shines in spirals around the C60 molecules' fractal lattice micro<macro. v.redd.it/qkr23sad6ws11
πŸ‘οΈŽ 8
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πŸ‘€οΈŽ u/justinbow757
πŸ“…οΈŽ Oct 18 2018
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[GIF] Dragon Curve Fractal
πŸ‘οΈŽ 497
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πŸ‘€οΈŽ u/natenaterson
πŸ“…οΈŽ Apr 20 2013
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MLL presents the original splix.io Dragon Curve. A fun picture to make by yourself or with friends. I did mine solo with 3 players. As I controlled 1 player the other 2 stood idle. U do need to be able to bump your tail consistently to make the Dragon. It's a portion of the Dragon Curve Fractal. USA
πŸ‘οΈŽ 4
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πŸ‘€οΈŽ u/levinliberty
πŸ“…οΈŽ Sep 20 2019
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Show Fractals: I created a bunch of custom fractal curve generators

Hi all,

I'm a huge nerd and love all things fractals. I also love programming and I decided to create a bunch of custom fractal curve generators. You can change the size of fractal, number of iterations, color, and other fractal-specific options.

Here are the first 11 fractal generators:

Let me know what you think and what fractals should I add next.

πŸ‘οΈŽ 11
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πŸ‘€οΈŽ u/pkrumins
πŸ“…οΈŽ Jul 18 2018
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Fire breathing dragon curve fractal done by Jody at Inferno Ink in Burlington NC imgur.com/nmJIFSz
πŸ‘οΈŽ 173
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πŸ‘€οΈŽ u/_elleOHelle_
πŸ“…οΈŽ Apr 09 2014
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[6/9/2014] Challenge #166 [Easy] ASCII Fractal Curves

(Easy): ASCII Fractal Curves

Today we're going to set a more open-ended challenge. First, let's look at what a space-filling curve is.

A space-filling curve is a specific type of line/curve that, as you recreate it in more and more detail, fills more and more of the space that it's in, without (usually) ever intersecting itself. There are several types of space-filling curve, and all behave slightly differently. Some get more and more complex over time whereas some are the same pattern repeated over and over again.

Your challenge will be to take any space-fulling curve you want, and write a program that displays it to a given degree of complexity.

Formal Inputs and Outputs

Input Description

The input to this challenge is extremely simple. You will take a number N which will be the degree of complexity to which you will display your fractal curve. For example, this image shows the Hilbert curve shown to 1 through 6 degrees of complexity.

Output Description

You must print out your own curve to the given degree of complexity. The method of display is up to you, but try and stick with the ASCII theme - for example, see below.

Sample Inputs & Output

Sample Input

(Hilbert curve program)

3

Sample Output

# ##### ##### #
# #   # #   # #
### ### ### ###
    #     #    
### ### ### ###
# #   # #   # #
# ##### ##### #
#             #
### ### ### ###
  # #     # #  
### ### ### ###
#     # #     #
# ### # # ### #
# # # # # # # #
### ### ### ###

Notes

Recursive algorithms will come in very handy here. You'll need to do some of your own research into the curve of your choice.

show more
πŸ‘οΈŽ 43
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πŸ‘€οΈŽ u/Elite6809
πŸ“…οΈŽ Jun 09 2014
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I made a fractal city (Koch curve) and need more possible street layouts imgur.com/a/rCHwr
πŸ‘οΈŽ 100
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πŸ‘€οΈŽ u/Slowpinger
πŸ“…οΈŽ Mar 26 2015
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[FO] Dragon Curve Fractal blanket my first project
πŸ‘οΈŽ 132
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πŸ‘€οΈŽ u/thornofnight
πŸ“…οΈŽ Sep 04 2015
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This is a fractal which is a curve or geometric figure, each part of which has the same statistical character as the whole. youtu.be/foxD6ZQlnlU
πŸ‘οΈŽ 4
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πŸ‘€οΈŽ u/Donklebirg
πŸ“…οΈŽ Jul 05 2019
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TIL of the Dragon Curve, a fractal which can be made by folding a strip of paper in half over and over then unfolding with each bend at 90Β° en.wikipedia.org/wiki/Dra…
πŸ‘οΈŽ 118
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πŸ‘€οΈŽ u/IIIBlackhartIII
πŸ“…οΈŽ Dec 30 2014
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