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Math Help - Calculating area of 3d euclidean space, bounded by linear conditions

  1. #1
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    Jun 2010
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    Calculating area of 3d euclidean space, bounded by linear conditions

    Hi there,

    I'm working on an algorithm for calculating the source location of an electromagnetic pulse within a 3d area, and have come across some difficulty in calculating the area of a trust-region which is bounded by linear planes.

    The bounding conditions of the area are as follows:

    y = 16.5
    y = 25
    y = 2.121x - 57.742
    y = 1.8x - 56
    z = 10
    z = 20
    z = 1.65y - 17.225
    z = 3.5x - 112.5

    to help give some idea about what the area looks like, I've included some pics which show the area as seen from each 2-dimensional plane. (area with black perimeter):

    xz:
    Calculating area of 3d euclidean space, bounded by linear conditions-xz-bound.png

    yz:
    Calculating area of 3d euclidean space, bounded by linear conditions-yz-bound.png

    xy:
    Calculating area of 3d euclidean space, bounded by linear conditions-xy-bound.png

    Thanks.
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  2. #2
    Newbie
    Joined
    Jun 2010
    Posts
    9

    Re: Calculating area of 3d euclidean space, bounded by linear conditions

    My apologies, I just realised this should probably have gone in the university section. My bad.
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