Mathematical Lego Sculptures
Daedalus_ writes "Some guy has created mathematical surfaces (mobius strips, klein bottles, etc) out of Legos. He also has some other interesting creations (such as Dilbert figurines and a Hoberman Sphere)."
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I love Andrew Lipson's Math site, thought it was on slashdot for a while. If you like to see other such sites check out Eric Harshbarge's Lego page (cool stuff like wedding cakes and skyscrapers), Henry Lim's totally awsome lego sculptures, he's even got Natalie Portman (Not naked, and next to the petrified beethovan). BTW, Eric's got a very interesting page on on San Mononoke (more on those).
I believe Clifford Stoll (of Cuckoo's Egg fame) makes them out of glass. See www.kleinbottle.com.
This post is strictly my own opinion and not necessarily that of my employer.
I disagree. That nicely describes what happens with a sphere, but not so much with a cube.
I guess it depends on how it's passing through 3-space. The best way to imagine this stuff is to imagine a 3-D object passing through 2-space. If you pass the cube through corner first, you'll get something like what you describe, except the cross sections will be triangular most of the time. Edge on, you'll get rectangles.
Face-on, your 2-space will see nothing until the 3-cube hits it, then the 2-space will see a square just sitting there until the 3-cube is all the way through.
What's the difference between a tesseract and a 4-cube? According to Eric Weisstein, it seems they're the same thing.
-Erf C.
Cthulu always calls collect...
Shop.lego.com probably.
-- Dr. Eldarion --