
Re: (3,4,5)
Posted:
Mar 25, 2017 6:25 PM


w0w, this is really c00l, AFAiCT, so, Isoceleon, isocewhatever; I got t00 integerbox solutions from small fibnonacci#s, although the tetrahedron is itself the canonical boxing, so to say. however, I don't see that it holds thereafter, so that the edges of the rectangular box  being three vols of its inscribed hedron  are benerally secondr00ts. firstly, one could show a spatial l00ns pr00f of the Pythagorean theora, and so on
> I found, I think, what I was l00king for re isoceles tetrahedra: > rather than three integers for the three lengths, > use three secondr00ts for the lengths, > which easily gives the lengths of the rectangular paralleliped > in which the isocelon sik is insbribed, e.g: > if (1,2,3) is representing the three pairs of opposite edges, > but being actuallt secondr00ts of 0ne and t00 and three, > then the edges of the box are the secondr00ts of (3,4,5)  yes!

