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Published: 2007-06-17 03:09:00 +0000 UTC; Views: 791; Favourites: 7; Downloads: 15
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Description All the simplest 2-D fractals, down-sampled by 3 (every third row and column). The block replacement rules from which each term is derived is describe at the top and left.

Simplest 2-D reccurent patterns has a description and full (unsampled) pattern.

A large full version .



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Comments: 9

cyberxaos [2007-08-08 12:40:54 +0000 UTC]

that is a thing of coolness

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kidjet [2007-06-18 07:16:02 +0000 UTC]

very cool.

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parrotdolphin [2007-06-18 02:08:13 +0000 UTC]

I keep looking at this. But I still don't get it. I like it, though, except I wish I could figure it out.

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markdow In reply to parrotdolphin [2007-06-18 02:34:29 +0000 UTC]

I know it's obscure, I just liked the gestalt of it.

It is a sort of periodic table for simple L-Sytems ([link] ), which are just iterated functions. This page gives a better description: [link]

There's some cool stuff about the particular patterns that occur within the chart, and each element. But that's for another time.

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parrotdolphin In reply to markdow [2007-06-18 23:53:00 +0000 UTC]

Thanks Mark. I still don't get it, but maybe I can try harder.

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MoonliteSymphony [2007-06-17 19:33:01 +0000 UTC]

Makes me which Iactuallyunderstood fractals...

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markdow In reply to MoonliteSymphony [2007-06-17 19:43:08 +0000 UTC]

Hey, this is a good place to start, get a scrap of paper and pencil:

- pick two rules, one for black dots (top row) and one for white dots (left column)
- start with a black dot (extreme top-left corner of this deviation)
- replace each black dot with the chosen black dot rule and each white dot with the chosen white dot rule
- repeat, repeat, repeat ...

The rules and starting point can be anything. These are just representations of the simplest 2-D rules and starting points.

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MoonliteSymphony In reply to markdow [2007-06-18 03:09:51 +0000 UTC]

It's still pretty impressive. Most artists seem to be well focused on looks and understand fractals from an entirely aesthetic point of view. You demonstrate at least some level of working knowledge on them.

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silverb [2007-06-17 16:34:10 +0000 UTC]

Fascinating.

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