dot-to-dot ifs animation

phtolo

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dot-to-dot ifs animation

« on: February 24, 2013, 09:29:11 PM »

Hello everyone!

Here's an animation I've been working on for some time.
Formula is basically the chaos game ifs, but instead of randomly picking any new target point, the points are structured in a list and only the neighbouring points can be picked.
Thus the dot-to-dot.

<a href="http://www.youtube.com/v/YmvRUNQCyZU&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/YmvRUNQCyZU&rel=1&fs=1&hd=1</a>


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cKleinhuis

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formerly known as 'Trifox'

Re: dot-to-dot ifs animation

« Reply #1 on: February 24, 2013, 09:59:53 PM »

nice and straight animation, hello and welcome to the forums, can you aleaborate a little more ?!

what do you mean by target point ?! you have assigned your keyframes in a grid/tree structure and choose the next animation target by walking the tree ...

... or have you modified the ifs formula selection? your description leaves me thinking that you choose the transformations this way, but your animation rather looks like animation params are choosen this way

incorporate some nonlinear stuff as described in the flame paper
http://en.wikipedia.org/wiki/Fractal_flame


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divide and conquer - iterate and rule - chaos is No random!

matsoljare

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Posts: 215

Re: dot-to-dot ifs animation

« Reply #2 on: February 24, 2013, 10:31:24 PM »

Some of these forms look very interesting, can you just make some high resolution still pics instead?


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phtolo

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Posts: 79

Re: dot-to-dot ifs animation

« Reply #3 on: February 25, 2013, 09:22:13 PM »

@cKleinhuis:
I will try to elaborate, you are indeed correct.

By target point I meant a transformation and was only referring to a single frame.
The formula selection is what I meant with dot-to-dot, the next formula can only be selected from itself and both its neighbours.

This is true for the different targets that the animation slows down around.

For the animations inbetween I use what turns out to be a variant of the fractal flame (thanks for the tip!), the difference being that the weight (w(k)) is dependent on the number of consecutive times that a certain formula has been selected.

@matsoljare:
One of the imageas is attached, tell me if you want any specific one.

ifs.gif (121.28 KB, 1680x1050 - viewed 282 times.)
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cKleinhuis

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formerly known as 'Trifox'

Re: dot-to-dot ifs animation

« Reply #4 on: February 25, 2013, 10:03:20 PM »

nice, how do you choose the formulas taken, and most of all i am interested in visible differences, isnt it so
that you just produce the weights for the knots this way ?!?!? and one transform that can only be reached after another or so, wouldnt that just come down to propabilities after all ? i am just thinking, because for the fern fractal for example there is one transform with a propability of 0,2% or something, and it is still affecting the outcome, so, hmm, how could we examine the behaviour ?!?!?


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divide and conquer - iterate and rule - chaos is No random!

phtolo

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Posts: 79

Re: dot-to-dot ifs animation

« Reply #5 on: February 25, 2013, 10:46:38 PM »

Formulas are chosen using the simplest method possible, p=1/3 to go back one formula, p=1/3 to stay on the current one and p=1/3 to go to the next formula.
You could see it as the probability of some of the points are reduced to zero depending on which formula was chosen last.


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cKleinhuis

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formerly known as 'Trifox'

Re: dot-to-dot ifs animation

« Reply #6 on: February 26, 2013, 12:00:08 AM »

interesting approach, anything you have to play with for us ??


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divide and conquer - iterate and rule - chaos is No random!

phtolo

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Posts: 79

Re: dot-to-dot ifs animation

« Reply #7 on: March 18, 2013, 08:33:04 PM »

Managed to make some of the fractals using the Xaos tab in Apophysis.

(Sorry for zip-file, .flame files seems to be locked)

flame.zip (2.54 KB - downloaded 105 times.)
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thanks and see you perhaps in 10 years again