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Hilbert Blobbed
By parrotdolphin   |   Watch
7 25 2K (1 Today)
Published: May 12, 2007
© 2007 - 2019 parrotdolphin
This is a Hilbert Space Filling Curve. I found some code here which I converted to POV-Ray code. Heheh, recursion in POV-Ray :boogie: I added blobs and a crazy coloring method, blah, blah, blah, etc, etc :D If anyone wants the code, I will post it here, just lemme know.
I was compelled to make this after another look at the wonderful and unique gallery of --> :iconmarkdow: <--markdow.

Full View or spankings, :spank: your choice. No, you may not have both. :no:
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Comments (23)
Runial's avatar
Please post the code of this beautiful piece of art!
Thanks and regards
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
You can find it here:
[link]
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markdow's avatar
The Hilbert curve made the cover of Science last month, because DNA organization within the nucleus shares folding properties with Hilbert. I like your rendering better.
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
Thanks Mark! I like mine better too. :giggle:
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markdow's avatar
To iterate is human, to recurse, divine. - L. Peter Deutsch
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
The funny thing about this quote is that most people would just say "Huh?" :confused: :laughing:
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bluesman219's avatar
bluesman219|Hobbyist Photographer
Pretty cool Janet!! :)
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
Glad you like it!
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rabbitica's avatar
rabbitica| Digital Artist
Nah, maybe more like in 'Blob star'...
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
Its different from all of them! :) I used some sin and cos statements to vary the colours gradually. "What the Leg Man Sees" and "Occupied" use a random number generator for the tile colours. "Blob Star" is a gradient image mapped over the whole thing.
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rabbitica's avatar
rabbitica| Digital Artist
Wow, you have a lot of ways of coloring that even include sin and cos statements...cool.
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rabbitica's avatar
rabbitica| Digital Artist
"crazy coloring method" I like that. Is that what you used to color the tiles in "What the Leg Man Sees" and "Occupied"? or something different?
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golem1's avatar
golem1|Professional Digital Artist
Fantastic!!

... and I agree about markdow's gallery.

Was going to suggest your link to Mathworld gives strong hints about how to make a 3- or n-dimensional version, but sounds like you've already got it knocked.
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
Yeah, I got the cube one, but it looks shitty. I can make it with either boxes or cylinders, but the joins at the angles are not the best. But L-systems are pretty interesting. :)
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markdow's avatar
Great! So clean and shiny, like candy. I like how the negative space mirrors the positive space (blobs and alcoves are similar).

I've found the 3-D versions to be just as interesting, but become too visually complex -- need thin members to see into the shape.

And thanks for the nice plug, I'm glad Hilbert and I could inspire.
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
Thanks, I had to play with the blobs a bit to get that effect.
Yes, the 3D one is fun, but, I agree, it looks like a mess. I think an animated one where you could fly around in it might be good, though.
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golem1's avatar
golem1|Professional Digital Artist
Yes indeed :D Seems like I've known about LParser forever, but could never get off the ground with it. I truly love the things I've seen made with it.
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
Yeah, the trick is to know what you're doing. With all that recursion, it looks pretty much impossible to know what the heck you'll come up with. More than likely, just a big mess. :lol:
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JRJay's avatar
Lucky fo me, I full-view by default!
Wicked fractal. Now for the 3D version! =)
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
Oh, you're lucky! :giggle:
I have no idea how to make the 3D (cube) version.
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
I got it!! Not straight POV code like this one, but its in Blender right now. :D
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parrotdolphin's avatar
parrotdolphin|Professional Digital Artist
I could use LParser, if I can figure it out. My problem is that I want to answer handed to me. :)
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