Alex's Tetrahedron Page

    Tetrahedrons represent the ultimate geometric challenge even to the best mathematicians. Because of this and because the first Math Modeling assignment was to find the volume of an isoceles tetrahedron (opposite sides congruent), this page was created.

Links

Great link for tetrahedron volume solving:

• MSN Search: tetrahedron volume
  
  The site I used in this mathematical endeavor:
• Mathpages: general formula
  
  A wolfram site to help you "understand" isosceles Tetrahedron
• Wolfram: Isosceles Tetrahedron
  
  

And the ultimate tetrahedron site:

   09/18/04 - UPDATE  -  Enought with the updates! Give us the files! Okay, well I finally got to putting links to my tetrahedron solution. So here they are:

• General Formula for the volume of a tetrahedron with opposite edges of equal length
  
  
• Equations used in simplification (was used as overhead for presentation)
  
  

Then I remembered the other sites I had used to try and solve this bad boy. I linked to them up in the first paragraph. While I was tempted to put up all of my solutions and everything, its not gonna happen. Not because I'm lazy, but because ...... umm...... well, ok, its because I'm lazy. Honestly though, if you really want to see the solutions, just send an e-mail my way: a\/olfson@wpi.edu, and I'll send it to you. The reason for this is that I did my solutions either on paper or typed into my calculator, so posting either would be sort of pointless. So if you need some help, drop me a line, and I'll see if I think that your request is genuine and I'll talk to you. Other than that, I consider this page done and I don't expect to change it any time soon.
The end.

   09/11/04 - UPDATE  -  Algebaric solution (3), Pythagorean solution, and generalized solution ( via Pythagorean) are all complete. Current goals include writing up my generalization and posting it here. BTW (by the way), write up is complete, now I need to post it, but there are some unresolved issues. First, Its a Word Document, so its possible to link right to it, but then there will be some people who can't read it and the transision from this awesome color combo to black and white is kinda harsh. Second, while I could just copy and paste the text, you wouldn't be able to see the equations so that would be useless. Whatever, I'll figure something out, soon.

   09/07/04 - UPDATE  -  links to useful tetrahedron pages will be added in the future.