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Author Topic: Fractal Artifact?!  (Read 20799 times)

MiserEnoch

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Fractal Artifact?!
« on: September 18, 2010, 10:57:36 pm »

'ChaosHeavens', a mechanism that is engraved with an image of the artifact 'ChaosHeavens', each iteration getting smaller and smaller. It's gone fractal!!

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Emily

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Re: Fractal Artifact?!
« Reply #1 on: September 18, 2010, 10:58:50 pm »

Yeah this happens occasionally.
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Gearheart

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Re: Fractal Artifact?!
« Reply #2 on: September 18, 2010, 11:01:18 pm »

See also: Planepacked.

Has something like 75 images of itself engraved upon it's surface.
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Urist Imiknorris

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Re: Fractal Artifact?!
« Reply #3 on: September 18, 2010, 11:12:46 pm »

73. It's (the phenomenon, not Planepacked) entirely normal.
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ZhangC1459

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Re: Fractal Artifact?!
« Reply #4 on: September 19, 2010, 02:15:02 am »

I'm guessing it's because they have a vision of the artifact as it will look when it's finished when they're possessed, and they engrave ever-smaller images of it on the image of it until it gets so small that they don't really have to bother anymore.

Dwarves have extremely capable minds.

forsaken1111

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Re: Fractal Artifact?!
« Reply #5 on: September 19, 2010, 02:19:49 am »

I think you meant recursive, not fractal.
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ZhangC1459

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Re: Fractal Artifact?!
« Reply #6 on: September 19, 2010, 02:29:19 am »

I think you meant recursive, not fractal.

Either or.  Fractals are basically objects or patterns where if you look at one portion you wouldn't be able to tell if it was the whole thing or not.  i.e. Sierpinski triangle is like an infinite Triforce within Triforce within... etc. 

So if you stared at the image of the artifact on the artifact it'd be like looking at the artifact since the image would have the image on it and that image would have an even smaller one... etc etc.

forsaken1111

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Re: Fractal Artifact?!
« Reply #7 on: September 19, 2010, 02:30:47 am »

You are assuming that the image of the artifact has the image of the image of the artifact, etc.
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ZhangC1459

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Re: Fractal Artifact?!
« Reply #8 on: September 19, 2010, 03:06:09 am »

You are assuming that the image of the artifact has the image of the image of the artifact, etc.

Well, all craftdwarfship is of the highest quality, so any image of the artifact would undoubtedly depict any images on said artifact.  Hence your infinite fractal.

Passive Fist

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Re: Fractal Artifact?!
« Reply #9 on: September 19, 2010, 04:06:56 am »

Then there are the artifacts that have an image of another artifact, which may be one of the recursive type. Dwarfs are crazy.
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ungulateman

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Re: Fractal Artifact?!
« Reply #10 on: September 19, 2010, 04:07:19 am »

There's also two infinity's worth of kapoks decorating it.
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ZhangC1459

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Re: Fractal Artifact?!
« Reply #11 on: September 19, 2010, 04:09:42 am »

... Dwarfs are crazy.

So of all the things you can do in DF, it's the fractal artifacts that make you think dwarves are crazy.

Never mind the magma falls, the atom smashers, the cog-and-axle turing-complete computers, or the colonizing of Hell itself... all those are fine, but man, those recursive artifacts! Where do they get such ideas?

Trekkin

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Re: Fractal Artifact?!
« Reply #12 on: September 19, 2010, 05:11:22 am »

The real question is why these artifacts are not of infinite value, since the image of the artifact, being worth something, also contains infinite smaller images of the artifact, which are presumably worth as much, and it continues off into infinity.
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LordSlowpoke

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Re: Fractal Artifact?!
« Reply #13 on: September 19, 2010, 05:14:48 am »

There's also two infinity's worth of kapoks decorating it.

Actually, no. This is quite logical. There are two kapok trees decorating it. And the artifact itself is made from a lump of native aluminium which may be as well calculated to 15 milimeters.
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Urist Imiknorris

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Re: Fractal Artifact?!
« Reply #14 on: September 19, 2010, 08:11:49 am »

You are assuming that the image of the artifact has the image of the image of the artifact, etc.

Well, all craftdwarfship is of the highest quality, so any image of the artifact would undoubtedly depict any images on said artifact.  Hence your infinite fractal.

What if it was an image of the other side of the artifacet? Like an image of the fromt depicted on the back?

And the artifact itself is made from a lump of native aluminium which may be as well calculated to 15 milimeters.
0.07 m3 (70 L). That's the volume of a boulder in DF.
« Last Edit: September 19, 2010, 08:15:34 am by Urist Imiknorris »
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Quote from: LordSlowpoke
I don't know how it works. It does.
Quote from: Jim Groovester
YOU CANT NOT HAVE SUSPECTS IN A GAME OF MAFIA

ITS THE WHOLE POINT OF THE GAME
Quote from: Cheeetar
If Tiruin redirected the lynch, then this means that, and... the Illuminati! Of course!
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