Original Question
Hilbert's original question was more complicated: given any two tetrahedra T1 and T2 with equal base area and equal height (and therefore equal volume), is it always possible to find a finite number of tetrahedra, so that when these tetrahedra are glued in some way to T1 and also glued to T2, the resulting polyhedra are scissors-congruent?
Dehn's invariant can be used to yield a negative answer also to this stronger question.
Read more about this topic: Hilbert's Third Problem
Famous quotes containing the words original and/or question:
“The salary cap ... will be accepted about the time the 13 original states restore the monarchy.”
—Tom Reich, U.S. baseball agent. New York Times, p. 16B (August 11, 1994)
“The question you’re not supposed to ask is the important one.”
—Mason Cooley (b. 1927)