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Intersection Of Two Simplices
Posted:
Dec 20, 2012 2:45 PM


Suppose that you have two N Simplices. Call them Simplex A and Simplex B. Both have an altitude of H and of course are the same size. You inscribe B inside of A and rotate it so that all of it's vertices are pointed dead center at the n1 dimensional faces of simplex A. What is the distance in terms of H between an n1 dimensional face of simplex A and an n1 dimensional face of simplex B, both of which are parallel to each other.
If I'm not mistaken, if n=3, then the answer is 1/2, but what about other values of n?
also, what is the volume of the intersection.
Finally, can you answer the above if Simplex B has an altitude of 0.9H
Thanks in advance.



