Discover and read the best of Twitter Threads about #fractals

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🧵 "#Criticality: A Balance Between #Robustness and #Adaptability"

Today's SFI Seminar by @cgershen @cgg_mx:
Regarding systems at the #EdgeOfChaos
Identifying #PhaseTransition dynamics
Citing @WagnerEvolution on #Robustness
Contrasting it with #Chaos (fragile, hard to predict, etc.)
And then #Criticality, somewhere in the middle... ImageImageImageImage
With #criticality, due to #PowerLaw(-like) distributions:

"Most of the changes will be small, but for some, you can have large changes."

See also #fractals

Key history point: Stuart Kauffman's #random #Boolean #networks (1969!)

Updated by @cgershen in 2004 ImageImageImageImage
Read 12 tweets
Version 2.0 of my (free, online) L-System Visualizer App is out. (#fractals @madewithunity)
What's the big deal? Well, color, for one: A line drawing of a fractal...
@madewithunity The colors show the iteration of the L-system's development that introduced/added/inserted that portion of the fractal. The most obvious way to see that as happening is via interpolation. That is, you can see the fractal as growing from within, with new "nodes' being inserted: Image
Some fractals, however, start with the same set of moves in each iteration. Thus, you can see new nodes as being appended to the previously-placed nodes. Instead of scattering colors throughout, you end up with regions of new color: A drawing of two copies of ...
Read 94 tweets
[DAY 21/24]

For this last #AdventCalendar week, (re)discover our Let's STEAM resources! Starting with #HandsOn #STEAM activities for #home or in the #class, inspired by #societal, #artistic and #scientific challenges👏

⤵️ Discover them in the thread below!
Start easy mixing #music, #mathematics and #computerscience

Discover the #GuerillaGardening initiatives, #smartgardening #DIY projects as well as the @farmbotio #OpenSource #CNC Farming solution!

Read 5 tweets
You can now share the #fractals you find using L-System Visualizer. Here's one I found the other day:… A drawing (white lines on b...
To hunt for fractals, go to The app (made with @unity3d) will generate a URL for each figure you find, which you can then send to others. They can then examine the L-system you created, and derive variants from it.
v 1.1 of the app also greatly improves memory usage, which means the complexity of the systems/fractals you create is now only limited by your patience and CPU speed.
Read 242 tweets
Can #Fractals be used to find the probable reversal on charts? Can it be used to find probable top and bottoms on #Stock Charts. Alone they might not. But lets dig into this possibility. I promised few days back of another model to find top and bottom. +
@rohit_katwal Fractals refer to a recurring pattern that occurs amid larger more chaotic price movements. Fractals are composed of Three or more bars. The rules for identifying fractals are as follows:
@rohit_katwal A bearish turning point occurs when there is a pattern with the highest high in the middle and two lower highs on each side.
A bullish turning point occurs when there is a pattern with the lowest low in the middle and two higher lows on each side.
Read 12 tweets
Experimenting a bit with lights on a greyscale render ...

#Mandelbulb3D #fractals
Developed it to this ...

#MandelBulb3D #fractals
Which further led to these two ...

#MandelBulb3D #fractals
Read 8 tweets
Making things with your hands is wonderfully therapeutic - great for stress relief & attaining a state of flow.

With that in mind: a thread of hands-on 3D maths projects for lockdown👇👇👇

#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths #Mathsart #MathArt #MakersGonnaMake
1) First off, one of my old favourites: a dodecahedral kusudama flower ball 🌸😍🌸

You could make a daffodil-yellow version for Easter... 🐰🐣💐

Instructions:… &…

#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
2) Something yummy next: a self-supporting, hyperbolic paraboloid @Pringles ring 😋😋😋

More info here:…

Or use Erik Demaine’s instructions to fold paper versions:

#3DMaths #HandsOnMaths #LockdownMaths #ArtfulMaths
Read 17 tweets

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