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How many segments on a gridded cuboid?

  1. Jun 3, 2013 #1
    Hello everyone,
    So let's say we have a cuboid.
    On the X axis, it's divided to 4 segments (i.e. by 3 lines parallel to z axis) (segx=4).
    On the Y axis, it's divided to 3 segments (i.e. by 2 lines parallel to z axis) (segy=3).
    On the Z axis, it's divided to 8 segments (i.e. by 7 lines parallel to x or y axes) (segz=8).
    Each line between two grid points is called a segment. How many segments are there on the surface of this cube entirely? All the 6 sides are divided as I said (it looks like Rubik's cube!).
    The numbers I said were just an example. I need a formula based on segx and segy and segz for the number of segments on this cuboid.
    I'm working on an algorithm this is needed for. I appreciate any help.
    Thank you so much
     
  2. jcsd
  3. Jun 3, 2013 #2

    tiny-tim

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    hello boyboy400! :smile:

    you'll need to count the segments on each face separately, and then add for all six faces :wink:

    (except, don't forget not to count the "edge" segments twice!)
     
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