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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Creating legos out of mathematical surfaces... (Use POVRay to render this :D).
// example of object unions
,
.5
#include "colors.inc"
#include "textures.inc"
#include "metals.inc"
camera {
location
look_at
}
plane { , -1
pigment {
checker color Red, color Blue
}
}
light_source { color White}
#declare lego=union {
box {
}
#declare cyl1=cylinder {
,
}
object { cyl1 }
object { cyl1 translate }
object { cyl1 translate }
object { cyl1 translate }
object { cyl1 translate }
object { cyl1 translate }
texture { Glossy
pigment { Red }
}
}
object { lego }
object { lego
translate
rotate 20*y
}
The Only way humans can view a hypercube (a 4d cube) is using 3D representation. The basic idea behind this is similar to how we can make 3d looking things on our 2d monitors. Since humans find it next to impossible to visualize hypercubes, we would need to program a computer with enough knowledge of 3d and 4d shapes (and how to represent them).
Even if we did this the BEST way to view a hypercube would be either to go to the 4th dimension to look at one, or have a creature from the 4th dimension come here and make a 3d representation of on.
Don't think this is happening anytime soon.
Medevo
I was hoping to see a Calabi-Yau space, myself. How many 1x3's would that take?
Vista:XPSP2::ME:98SE