Random Iterated Function Systems reddit.com/gallery/ravnsq
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πŸ‘€︎ u/fryper
πŸ“…︎ Dec 07 2021
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Random Iterated Function Systems reddit.com/gallery/qo4kcp
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πŸ‘€︎ u/tasty_plots
πŸ“…︎ Nov 06 2021
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Fractals from an iterated function system [OC]
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πŸ‘€︎ u/earlbellinger
πŸ“…︎ Mar 04 2020
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Fractals from an iterated function system [OC]
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πŸ‘€︎ u/earlbellinger
πŸ“…︎ Mar 04 2020
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Iterated Function System [3840x2160] (rendered in mandelbulber2)
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πŸ‘€︎ u/shellmachine
πŸ“…︎ Jul 11 2020
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Fractals from an iterated function system [OC] twitter.com/earlbellinger…
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πŸ‘€︎ u/earlbellinger
πŸ“…︎ Mar 05 2020
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The Art of Code: Writing KIFS (Kaideoscopic Iterated Function System) Fractals in Shaders youtube.com/watch?v=il_Qg…
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πŸ‘€︎ u/asperatology
πŸ“…︎ Oct 03 2019
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Nonlinear variations of an iterated function system, post-transformed and colored based on log-density. [OC]
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πŸ‘€︎ u/hellphish
πŸ“…︎ May 13 2017
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Iterated function system gfycat.com/WhichRemarkabl…
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πŸ“…︎ Nov 28 2017
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I made a terminal program for rendering iterated linear function systems. Thought some of you may find it useful/fun.

I recently wrote a terminal app for rendering fractals from iterated functions systems using linear contraction mappings on either R^1 or R^2.

I've been using it to quickly get an idea of what type of attractor to expect when working with IFS's and to render silly/pretty gifs.

link to project on github.

Fun Barnsley gasket example.

Thoughts and opinions are very welcome!

thanks :)

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πŸ‘€︎ u/rareyna
πŸ“…︎ Mar 28 2019
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Exploring Iterated Function Systems – Andrew Kennedy – Medium medium.com/@grkvlt/explor…
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πŸ‘€︎ u/grkvlt
πŸ“…︎ Oct 22 2017
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Is there a system for organizing all possible groups of a certain iterated/repeated function?

Let's say I have an expression: x . x . x . x ... of arbitrary length, where each (.) is some non-associative, non commutative operation on the value x, and x . (x . (x . x)) is the default order of operations. Is there a concise way of representing and ordering all the different ways we can change the order of operations here with parentheses?

Note I only use length four here for example purposes. I'm need a system to come up with and notate shortly all the unique ways of doing this. Thanks!

Edit: Added the non commutative/associative detail; should have included it first draft.

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πŸ‘€︎ u/Matt-ayo
πŸ“…︎ Jun 01 2018
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for degenerative Friday : Iterated Function System
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πŸ‘€︎ u/magic_jesus
πŸ“…︎ Jan 11 2019
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How does an iterated function system work to make Sierpinski triangle

I recently wrote a program for a class that draws a Sierpinski triangle using an iterated function system. They gave me algorithm to use and I successfully created a program with it. The problem is I do not understand why it works. I was hoping math may be able to help me out.

Algorithm:

The new points are iteratively computed by randomly applying (with equal probability) one of the following three coordinate transformations:

xn+1 = 0.5 xn yn+1 = 0.5 yn;

xn+1 = 0.5 xn + 0.25 yn+1 = 0.5 yn + 0.5 (sqrt(3)/2);

xn+1 = 0.5 xn + 0.5 yn+1 = 0.5 yn;

I googled a bit and could not find an explanation that made sense to me.

Edit: Found that each equation fills in a certian part of the triangle. Color coded by equation: http://i.imgur.com/dLmvOva.png

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πŸ“…︎ Jan 28 2013
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Animated Dual Screen Iterated Function System steamcommunity.com/shared…
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πŸ‘€︎ u/r33v01v3
πŸ“…︎ Nov 16 2018
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Classic Iterated Function Systems ecademy.agnesscott.edu/~l…
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πŸ‘€︎ u/khashei
πŸ“…︎ Jul 22 2018
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Iterated Function Systems in Clojurescript anthony-galea.com/blog/po…
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πŸ‘€︎ u/welltunedbass
πŸ“…︎ Feb 14 2017
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Iterated Function System - Experiment [2000x1500] [OC] imgur.com/LF2P9nc
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πŸ‘€︎ u/JacobBettany
πŸ“…︎ Dec 11 2014
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My mom exhibits a repeating pattern that displays at every scale and I think it stands to reason that she’s just a set of iterated function systems, incrementally getting more passive aggressive. What 4 do?

Please help.

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πŸ‘€︎ u/Tsondru_Nordsin
πŸ“…︎ Jun 28 2016
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[University?] Iterated Function System for Fractals

I've been teaching myself about the Heighway Dragon Curve

  1. because I like learning
  2. I'm attempting to write an OpenSCAD program to generate the curve based on a given iteration I give it.

I read the Wikipedia page for both the Dragon Curve and the Iterated Function System, but I still couldn't make heads or tails of it. I tried looking at the IFS for other fractals (IE:sierpinski) as an example that I could extrapolate from, but I could not understand those either.

My questions refer directly to the Heighway Dragon Curve IFS:

  • What does s0 represent? Is that a single point with coordinates (x,y)=(0,1)?

  • What does variable z represent?

  • I assume i represents iterations, right?

  • What does f1 and f2 output exactly?

If I could see an example, or have someone walk me through step by step how the IFS equations generate the Dragon Curve, I would greatly appreciate it.

http://en.wikipedia.org/wiki/Dragon_curve#Heighway_dragon

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πŸ‘€︎ u/Jadraptor
πŸ“…︎ Feb 20 2013
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How to construct a FRACTAL Christmas tree by using Barnsley's Iterated Function System blogs.sas.com/content/iml…
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πŸ‘€︎ u/WeiChen91312
πŸ“…︎ Dec 15 2012
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Good Math, Bad Math : Iterated Function Systems and Attractors scienceblogs.com/goodmath…
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πŸ‘€︎ u/linuxer
πŸ“…︎ Aug 04 2007
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Interactive iterated function systems (requires WebGL) users.soe.ucsc.edu/~jskor…
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πŸ‘€︎ u/_delirium
πŸ“…︎ Apr 01 2011
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Would you be interested in a game based upon some of the core design principles of Pathologic 2 but iterated on in new directions in terms of a more systemic driven narrative system and a completely different theme that was as equally mature in material?
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πŸ‘€︎ u/Sekto007
πŸ“…︎ Oct 28 2021
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Iterated trig function
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πŸ‘€︎ u/Trotztd
πŸ“…︎ May 13 2021
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iterated trig functions reddit.com/gallery/nwwa6s
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πŸ‘€︎ u/Trotztd
πŸ“…︎ Jun 10 2021
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Titled: 700X. This is an iterative function system that I happened to have multiplied by 700 to get the right size on the screen. It reminded me of what small critters look looked in my old microscope, hence the title.
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πŸ‘€︎ u/burgemh
πŸ“…︎ Nov 18 2021
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Iterated function convergence to its fixed points

I'm a beginner when it comes to this topic. But I was always fascinated by one observation. Let's consider a function [;f: A\subset \mathbb{R} \to \mathbb{R};]. Now let us consider a sequence [; f^(n=) \begin{cases} \mathrm{id_A}, & n=0\ f\left(f{n-1} \right) & n>0. \end{cases} ;] If this sequence has a fixed point [;x_0;] and [;f<\mathrm{id_B};] for some [;B\subset A;], is it true that the sequence is convergent on [;B;] to [;g\equiv x_0;]? How about multiple fixed points? Do you have any books on the topic thant won't kill me with their jargon?

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πŸ‘€︎ u/WolfgangTheDrug
πŸ“…︎ Apr 22 2021
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I iterated on a recent design and made an even better cargo container system for Space Engineers. (links in comments) imgur.com/gallery/avYm6uW
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πŸ‘€︎ u/TheMadmanAndre
πŸ“…︎ Jul 25 2021
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Nice paper on iterated complex functions mathe.tu-freiberg.de/~weg…
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πŸ“…︎ Nov 13 2020
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Should I avoid recursive function in the embedded system and use iterative functions instead? (Read description)

< Update> I replaced recursion using stack. Thanks for your help, I learned a lot. Here is the stackexchange answer that helped me: https://codereview.stackexchange.com/questions/163601/iterating-an-array-of-nodes-each-of-which-can-have-children . The snippet used in the answer:

static void IterateNodes(Node[] nodes)
{
    foreach (var node in nodes)
    {
        var stack = new Stack&lt;Node&gt;();
        stack.Push(node);
        while (stack.Count &gt; 0)
        {
            Node current = stack.Pop();
            Console.WriteLine(current);
            var childrenRightToLeft = current.Children.AsEnumerable().Reverse();
            foreach (var child in childrenRightToLeft)
            {
                stack.Push(child);
            }
        }
    }
}

</update>

I want to set a specific property of an object and also of its children. The first (and only) solution that came to my mind is a recursive one:

void _lui_object_set_need_refresh(lui_obj_t *obj)
{
    obj-&gt;needs_refresh = 1;
    for (uint8_t i = 0; i &lt; obj-&gt;children_count; i++)
    {
        _lui_object_set_need_refresh(obj-&gt;children[i]);
    }
}

The above function set need_refresh property of the object and of its children recursively. But, must I convert it to an iterative function? If yes,

  1. How? (My smooth brain can't find the solution)
  2. Why?
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πŸ‘€︎ u/void_rik
πŸ“…︎ Apr 02 2021
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A fun example of undecidable system: iterated multiplication and digit rewriting

Just something I noticed and thought people here might find it curious too:

Suppose you have some constant, let's call it M, and a function f(n) that maps the set of digits in base b to itself.

Let's also define F(x) as the result of replacing each digit of x with output of f(n) for that digit.

Given an initial value A, we can construct a sequence:

x_0 = A

x_n = F(M * x_(n-1))

Despite this family of sequences being seemingly simple, in general there's no algorithm to determine if such a sequence will grow indefinitely or if at some point it'll reach a cycle or converge to some value.

It's not very complicated to see why this would be the case, as we can easily find f(n) and M that would simulate another undecidable system, for example a Turing-complete cellular automaton (rule 110).

Let's say we're working in base 10, M is set to be 42.1 and f(n) turns digits 6, 5, 3, 2 and 1 into 1 and other digits into 0. If we multiply a number consisting only of decimal digits 1 and 0 by 42.1, we get a new number in which each digit is uniquely defined by corresponding digit of the original and the two digits closest to it. Application of F() is equivalent to choosing new value for each digit based on its neighbors, and the definition of f() above is nothing more than the transition table for rule 110.

Of course, this isn't a real proof, but I hope this sketch makes it clear where the undecidability comes from.

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πŸ‘€︎ u/ImportantContext
πŸ“…︎ May 24 2021
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writing a delete function for images in an iterated directory

Important lines:

$curuser = $user['name']; // grabbing the current username and putting it into a variable

iterate function, included in home.php // iterates the directory and adds a button redirecting to delete.php where I want to write a delete/unlink function for the file.

delete.php is supposed to look somewhat like this:

$path = '$curuser/$file';
if (!unlink($path)) {
echo "Error";
} else {
header("Location: home.php");

Basically saying if I click "delete" it will delete the image and redirect me back to the original place immediately.

Which obviously doesn't work because if I iterate through all the files I don't store $file anywhere.

Can I somehow grab the link next to my delete button when I click delete?

Can I do it all in the iterate function?

Kinda lost here. I just want to delete files =(

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πŸ‘€︎ u/Psyman2
πŸ“…︎ May 21 2019
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In function β€˜_RandomAccessIterator std::__find(_RandomAccessIterator, _RandomAccessIterator, const _Tp&, std::random_access_iterator_tag) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator*, std::vector > >, _Tp = int]’:
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πŸ‘€︎ u/scrotation_matrix
πŸ“…︎ Jan 18 2022
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Is it true that every possible math function is iterated by, iota = (Lf.f(Lx.Ly.Lz.xz(yz))(La.Lb.a); x = iota, fork((iota x), (x iota)), as the Jot language claims?

*update: x starts as identityFunc (aka (iota iota)) not iota

  • update: i think I mixed up what https://en.wikipedia.org/wiki/Iota_and_Jot said and the 0 and 1 are only a combo of s and k very similar to iota which seems lacking in the f param but has the other parts, or something like that. Still, they claim that every possible sequence of bits is a valid program made of these parts of iota s k. (but I know s and k well enough to do anything with them I could do in normal programming though often impractically slow).

Empty string is said to be identityFunc. Then append 0 or 1 to either call iota on you or call you on iota, then append again and so on to infinity.

I prefer models which can look into the left and right child of a halted function instead of having to call that function to detect what it does, which you may do either but calling a function which you dont know what it is seems risky of nonhalting vs emulating it n steps forward for some chosen n. Of course iota can derive any other universal lambda function which would only be called on combos of itself to use that universality most simply. This always calling 1 deeper is harder to understand than being able to call any combo of iota on any combo of iota like can be done in (slight derivation from s and k) Unlambda and Iota languages. If the thread title is true then it might be the simplest theory as from every possible state (each Lightcone is such a state?) theres 2 possible paths yet it contains all possible patterns.

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πŸ‘€︎ u/BenRayfield
πŸ“…︎ Oct 20 2019
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[Calculus] [Medium] Prove that all iterated integrals of y=ln(x) are elementary functions

>An elementary function is a function of one variable which is the composition of a finite number of arithmetic operations (+ – Γ— Γ·), exponentials, logarithms, constants, trigonometric functions, and solutions of algebraic equations (a generalization of nth roots)

In other words, show that no matter how many times you repeatedly integrate ln(x), you still get a nice function.

Hint: >!Induction!<

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πŸ‘€︎ u/BootyIsAsBootyDo
πŸ“…︎ Sep 08 2019
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What are some other functions that, like z^2+c, produce interesting fractals when iterated?
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πŸ‘€︎ u/Mr_Dr_Prof_Derp
πŸ“…︎ Sep 19 2017
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Cryptocurrency Is Bunk - Cryptocurrency promises to liberate the monetary system from the clutches of the powerful. Instead, it mostly functions to make wealthy speculators even wealthier. jacobinmag.com/2021/10/cr…
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πŸ“…︎ Oct 17 2021
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[Miscellaneous] Iterated Functions

If f(f(x))=x^(2)+1 find an f(x), preferably closed form. (Idk what kind of math this is.)

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πŸ‘€︎ u/HitandWalker
πŸ“…︎ Jan 21 2018
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Each new iteration of the misogynistic family depends on the daughter's low-self esteem in order to function and then reproduce itself.

In a misogynistic family, the mother has already accepted the brainwashing. She's given birth, she's got a lower-value job (if at all), she's filled with internalised misogyny, and she's probably unable to escape now even if she wanted to. Reflection on her quality of life in this situation is too hard, so she ensures that her own experience is duplicated for her daughter. Then she'll have someone to either commiserate with, or to sneer at in order to feel good. Once her daughter is fully trained to be a chef/nurse/psychologist/secretary then she can finally relax, and while daughter is still in training she can take out her suppressed anger and anxiety on her. This is her reward for having been "a good woman".

In order that the family remain in the bubble, the daughter must agree to take care of mother, father, and brother because the mother's energy is waning after a lifetime of being dragged down, and she needs someone to take over the mantle of filling in the gaping gaps that the father and brother leave in the reality of the world (the superior beings can't seem to do much that even warrants respect, let alone warrants being almost worshipped in the form of being served daily, but surely we must persist in serving them... because? Because... we musn't ask questions.)

The daughter is treated as less than and still must be loving, eager, and giving towards her father and to her brothers, despite not wanting to do so. Again, filling in of gaps so that they don't have to feel any way at all, nor have to self-reflect on their behaviour.

The daughter holds a certain amount of social power, despite the fact that when she says no and chooses herself, she ends up attacked, demonised, scorned, insulted, and more by nearly everyone in her family. Because she has been trained to fill in the gaps to make everyone feel good throughout her entire existence, if she doesn't do that anymore she makes can make them feel very bad.

A daughter with low self-esteem is the linchpin everything rests on. If she breaks the chain even imperfectly, it still has an impact on changing the way things are in the world:

  • It prevents the cycle from repeating for the next generation, if she has children.
  • It forces the mother to take a look at her life. (Even if she ends up hating the daughter, at least she's not getting an easy ride out, and is trapped with just herself to take care of the men with no extra help. Making her bed and lying in it, instead of forcing the hand of an
... keep reading on reddit ➑

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πŸ‘€︎ u/judgemycomposure
πŸ“…︎ Jan 03 2022
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Do iterated limits always exist for continuous complex functions?

This question has probably screwed up the average score of my entire class:

Prove that if [; f'(z_0) ;] exists then [; f'(z_0) = \frac{df}{dx}(z_0) ;]

The proof that I gave, which was, as it turns out, was similar to some of my classmates, was something like:

[; f'(z_0) = \lim_{z \to z_0} \frac{ f(z) - f(z_0) }{ z - z_0 } ;]

[; = \lim_{x \to x_0, y \to y_0} \frac{ f(x, y) - f(x_0, y_0) }{ (x - x_0) + i(y + y_0) } ;]

[; = \lim_{x \to x_0} \lim_{y \to y_0} \frac{ f(x, y) - f(x_0, y_0) }{ (x - x_0) + i(y + y_0) } ;]

[; = \lim_{x \to x_0} \frac{ f(x, y_0) - f(x_0, y_0) }{ (x - x_0) } ;]

[; = \frac{df}{dx}(z_0) ;]

Now, notice that in the third step of the proof, I take [; \lim_{x \to x_0, y \to y_0} ;] to mean [; \lim_{x \to x_0} \lim_{ y \to y_0} ;].

My professor seems to think that if I let y go to y_0, that somehow means that I've chosen x as well, and therefore, letting y go to y_0 is not a valid step. In other words, that step would imply that f is continuous everywhere.

But what he seems to be confused about, is that continuity in the complex plane does not depend on the path. So I should be able to choose a path that happens to take y to y_0 first, and secondly x to x_0.

It seems many people in the class got this wrong, and had similar proofs. I tried convincing my prof twice, and got shot down twice. I'll give it one last shot, but I'm not sure how to shake his misconception.

Anyone have any ideas?

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πŸ‘€︎ u/robinhoode
πŸ“…︎ Nov 03 2011
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NASA: "With strong visual quality and the unique room-scale tracking function, Lighthouse, the Vive was chosen by our lab for the first iteration of our system [hybrid reality]." twitch.tv/unrealengine/v/…
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πŸ‘€︎ u/skiskate
πŸ“…︎ Mar 17 2016
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NASA: "With strong visual quality and the unique room-scale tracking function, Lighthouse, the Vive was chosen by our lab for the first iteration of our system [hybrid reality]." twitch.tv/unrealengine/v/…
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πŸ‘€︎ u/kontis
πŸ“…︎ Mar 17 2016
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Iterated Function - It lies so far
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πŸ‘€︎ u/Chipnstein
πŸ“…︎ Aug 04 2017
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Free karma. Nobody cares unless he experiences it firsthand. The present healthcare system has fulfilled its function.

What's up, pals?

Decentralization and artificial intelligence have been recent themes. You are aware that you will not refute that reality. They are not just trends, but also topics that are often debated and commented on. Businesses are attempting to incorporate AI into their apps, even in their most basic forms. However, it is quite beneficial! It automates most procedures that formerly required human intervention.

WHO's information is out of date. We have the ability to notice what is going on around us. Diseases, crises, and poverty are not the only issues. They have a direct impact on our lives and behaviors. We've been through a lot in the last two years, and it's still going on. That is a worldwide sickness, not an individual one. Humanity must understand that decentralization is one of the best methods to relieve people's burdens. DeHealth is currently a trend that will, at the very least, infiltrate the global market.

DeHealth is an online patient registration platform that combines digital medical data storage with a cloud service. DeHealth enables you to save, manage, and protect personal health data while also offering quick access to all services provided by various medical institutions, both public and private. DeHealth users have topped 2.7 million to date, and the figure is continually increasing. The effort saves lives by supporting hundreds of thousands of people worldwide in resolving health difficulties. It is a really easy way to prevent unnecessary doctor visits, encounters with contaminated persons, and so forth.

I hope that such businesses aren't just a passing fad. Believe they have a real intention to help and give the world an opportunity to evolve further even in crisis.

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πŸ‘€︎ u/psychoticmetre224
πŸ“…︎ Jan 15 2022
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