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RaphaelFilgueiras

  • 3 years ago

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).

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  1. estudier
    • 3 years ago
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    http://en.wikipedia.org/wiki/Tesseract

  2. RaphaelFilgueiras
    • 3 years ago
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    @estudier but how do i calculate it?

  3. RaphaelFilgueiras
    • 3 years ago
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    the edges

  4. bahrom7893
    • 3 years ago
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    Ok, this is something I kinda learned in graph theory..

  5. RaphaelFilgueiras
    • 3 years ago
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    it's algebra question of strang book

  6. bahrom7893
    • 3 years ago
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    |dw:1348059008536:dw|

  7. bahrom7893
    • 3 years ago
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    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.

  8. bahrom7893
    • 3 years ago
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    |dw:1348059107792:dw|

  9. bahrom7893
    • 3 years ago
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    that looks soo messy, but that's what a 4D cube should look like.

  10. bahrom7893
    • 3 years ago
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    it has twice as many corners as a 3D cube

  11. bahrom7893
    • 3 years ago
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    and uhm.. let me count the number of edges.. |dw:1348059232884:dw|

  12. bahrom7893
    • 3 years ago
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    So it should have 32 edges

  13. bahrom7893
    • 3 years ago
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    http://upload.wikimedia.org/wikipedia/commons/4/45/Dimension_levels.svg This is what I was trying to explain with my messy drawing

  14. RaphaelFilgueiras
    • 3 years ago
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    where the 12 come from?

  15. bahrom7893
    • 3 years ago
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    12 edges of a cube

  16. RaphaelFilgueiras
    • 3 years ago
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    ok

  17. RaphaelFilgueiras
    • 3 years ago
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    thanks @bahrom7893

  18. bahrom7893
    • 3 years ago
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    |dw:1348059530435:dw| and you're welcome

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