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Math Help - Construct an irregular tetrahedron

  1. #1
    Junior Member
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    Sep 2006
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    Unhappy Construct an irregular tetrahedron

    What method should I use to construct an irregular tetrahedron? I.e. how do I choose angles and edge lengths so that they come together as a tetrahedron? How do I formulate the restrictions that define a tetrahedron?

    Only restriction I've found on the net concerns 6 of the angles:
    OAB*OBC*OCA=OAC*OCB*OBA

    Of course, some of angles in each triangle = 180 is another restriction. But it's not enough.

    Btw, there is terribly litte info about irregular tetrahedrons on the web.

    Thanks for any help!
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  2. #2
    Junior Member
    Joined
    Sep 2006
    Posts
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    Smile

    I just had a bright idea:
    Let's define the four vertices of the tetrahedron in a 3D coordinate system and derive angles and edge lengths from their relative positions!

    Should work fine, shouldn't it? Will try it tomorrow.
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