Re: [math-fun] Diophantine equation

Fred Lunnon wrote:

A polytore with square section edge 2, outer cuboid depth g, inner quadrangle height h, inner radius q, is planar just when

h^2/(2-q^2) = g^2/(2-q)^2 + 1/2

but this equation appears to have no small rational solutions, at any rate when 0 < q < 1.

Is it soluble over the rationals? WFL

While sitting through a seminar this afternoon, I found that g = 20/9, h = 7/3, q = 8/9 works. -- Fred W. Helenius fredh@ix.netcom.com