Subject:
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Re: Headlight Brick Mosaic Patterns Cubed
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Newsgroups:
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lugnet.build.mosaic
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Date:
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Tue, 1 Jul 2003 23:53:28 GMT
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Viewed:
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2815 times
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In lugnet.build.mosaic, Steven House wrote:
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I still think it looks like the islamic tiling from The Alhambra in Granada
... maybe its time to use the Koran as inspiration ..
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Hi, Steve. I take that as a great compliment that these patterns remind you of
those in the Alhambra. I’ve never been there, but the tiling examples I’ve seen
in photos are stunning. Does the Koran have a section on intructions for
Islamic tiling? If so, I’ll have to pick one up. @8^)
Responding to your previous posts...
In lugnet.build, Steven House wrote:
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Isn’t a
square tile repeating pattern mathematically restricted to only 7 (types).
Have you completed an example of each? Maybe this could be a (more
mathematical) motivation?
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and
I had never heard of this rule. It’s very interesting, although I’m not sure I
totally grasp what it means. I found
this website which explains
it, although not really in beginner’s terms, and provides examples of each.
Apparently it’s not that there are 17 types of repeating square patterns, but
rather that there are 17 types of “plane symmerty groups”, of which 3 fall under
the sub-catagory of “square lattice”.
It would be my guess that all of my headlight brick mosaic patterns represent
only 1 of these 17 types. Being that LEGO bricks are almost all rectanglular,
it would probably be difficult to come up with a repeating pattern that was an
example of one of the other 16 types. Maybe it’s possible using wing-shapes or
slopes, but I don’t think it would be possible using just headlight bricks. But
the again, my understanding of these 17 types is pretty limited.
Nonetheless, I’m still quite motivated to further explore this 1 out of 17 types
of plane symmerty, and I keep uploading new patterns to my
Brickshelf page.
Cheers,
-Rev. Smith
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