--- In firstname.lastname@example.org
"leavemsg1" <leavemsg1@...> wrote
> Date: Wed Apr 1, 2009 12:04 am
> i. an absolute-perfect cuboid cannot exist
just in time for All Fools' Day.
More seriously, I remark that one is unlikely to be found.
Heuristically the probability of finding a primitive
perfect brick, all of whose sides are greater than x,
is less than 1/x^(3/2).
Bill Butler's Skulltrail found none with odd side < 10^11:
So don't bet on one being one found real soon;
they are conjecturally not Zariski dense: