anonymous
  • anonymous
how many corners does a cube have in 4-D?How many 3-D faces?How many edges?A typical corner is (0,0,1,0),a typical edge goes to (0,1,0,0).
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
http://en.wikipedia.org/wiki/Tesseract
anonymous
  • anonymous
@estudier but how do i calculate it?
anonymous
  • anonymous
the edges

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bahrom7893
  • bahrom7893
Ok, this is something I kinda learned in graph theory..
anonymous
  • anonymous
it's algebra question of strang book
bahrom7893
  • bahrom7893
|dw:1348059008536:dw|
bahrom7893
  • bahrom7893
2 dots make a line, two lines make a plane, if you connect the corresponding edges of two planes, you get a 3D cube, and finally, if you connect the corresponding edges of two 3D cubes you get a 4d cube.
bahrom7893
  • bahrom7893
|dw:1348059107792:dw|
bahrom7893
  • bahrom7893
that looks soo messy, but that's what a 4D cube should look like.
bahrom7893
  • bahrom7893
it has twice as many corners as a 3D cube
bahrom7893
  • bahrom7893
and uhm.. let me count the number of edges.. |dw:1348059232884:dw|
bahrom7893
  • bahrom7893
So it should have 32 edges
bahrom7893
  • bahrom7893
http://upload.wikimedia.org/wikipedia/commons/4/45/Dimension_levels.svg This is what I was trying to explain with my messy drawing
anonymous
  • anonymous
where the 12 come from?
bahrom7893
  • bahrom7893
12 edges of a cube
anonymous
  • anonymous
ok
anonymous
  • anonymous
bahrom7893
  • bahrom7893
|dw:1348059530435:dw| and you're welcome

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