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Author Topic: Fractal fire and other fractal life  (Read 3161 times)
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Tglad
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« Reply #45 on: March 22, 2012, 12:15:40 AM »

Great, I tried out your web app and the animation looks a bit like some I saw so I think it is working.
They don't all look like fractals, but I think in some sense they all are dynamic fractals. Yes I render them directly from the highest resolution layer.

Can you export Processing code to a web page like that or did you write that separately?

Here's a couple more type 7-


* spikey.png (9.37 KB, 511x509 - viewed 48 times.)

* fingerprint.png (69.06 KB, 511x512 - viewed 48 times.)
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asimes
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Posts: 212



asimes
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« Reply #46 on: March 22, 2012, 12:46:10 AM »

Wow, that second one looks amazing. I know you said type 7 is complicated but can you please try to explain it?

Processing automatically exports sketches you write to a HTML file if you click 'Export'. I did tweak it a bit though, the default export looks kinda ugly.
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Tglad
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« Reply #47 on: March 22, 2012, 02:28:57 AM »

OK, well the parents of each cell come from a 45 degree rotated grid, like the picture below. So the stack of grids rotates 45 degrees each layer, and so you have to go up two layers to get half the resolution.
The rules map the on/off of the six parents shown in the picture to an on/off for the cell. So there are 64 combinations to map to on/off.
I then reduce this down by keeping the rules symmetrical down the two axes of the 3x2 rectangle of parent cells.
e.g. if
10
00   maps to 1
11

then

01
00  should also map to 1
11

and so should
11
00
10
and
11
00
01


* parents.png (6.08 KB, 299x295 - viewed 178 times.)
« Last Edit: March 22, 2012, 02:31:45 AM by Tglad » Logged
kram1032
Fractal Senior
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Posts: 1863


« Reply #48 on: March 22, 2012, 09:17:29 AM »

Is any of the dynamic rules also using 45° shifts?
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Tglad
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« Reply #49 on: March 23, 2012, 07:21:15 AM »

no, not really possible with that method.
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kram1032
Fractal Senior
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Posts: 1863


« Reply #50 on: March 23, 2012, 09:37:42 AM »

really?
I thought, static vs. dynamic is merely a layer-update-ordering thing?

What you modelled there is kind of brain-like, btw.
You have an immediate action level on high resolution and subsequent memory-layers of lower and lower resolutions, in a sense compressing the events of the biggest layer into the (given an appropriate rule-sets) most important features and then reacting on that...

In a sense, the highest res layer would be a result of the above layers' creativity smiley
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Tglad
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« Reply #51 on: March 27, 2012, 10:01:29 AM »

The intermediate levels would stop it being a dynamic fractal, giving unbounded communication speed and making the whole thing uncomputable, hard to explain but not to worry, there are other ways to approximate extra symmetries, and many rules to explore... really I/we should make a webGL version that somehow allows the rules to be written in script.

Here's some paisley from type 7-


* paisley.png (17.68 KB, 511x510 - viewed 45 times.)
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Tglad
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« Reply #52 on: April 21, 2012, 06:06:39 AM »

Updated:
- I have added a type 8, it is like type 7 but has a bigger search space. So more possible patterns but good ones take more searching
- Added a time symmetric option (press 't'), patterns would play the same backwards. (This option isn't stored in the save files, so good to label you save file with whether it is the time symmetric version or not).
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kram1032
Fractal Senior
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Posts: 1863


« Reply #53 on: April 24, 2012, 12:48:29 AM »

this pattern looks awesome cheesy
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