The Heronian tetrahedron lattice embedding proof has been uploaded at http://arxiv.org/abs/1202.3198 I should be most grateful if someone would make a determined attempt to shoot it down (though probably not quite so pleased should they manage to succeed). [I have suppressed some previous tangential material, particularly concerning the volume lying in 168 |Z, after shooting that down all by myself --- maybe more of that saga later ...] I finally grasped the nettle and took on the arXiv automated LaTeX-muncher. I read the instructions (large type, unambiguous, comprehensive) for signing up and submitting; I followed them without being obliged to utter a single vulgar expletive or punch my desk even once; my source compiled first shot, and 24 hours later it's been moderated and mounted. Why am I telling everybody this? Because it's a *&^%$£@?! miracle, that's why! In the dark days ahead, as I wrestle with the stunningly perverse monstrosities that masquerade as automated servers throughout the remainder of the universe, I trust I shall find it within my grasp to recall this moment of catharsis. Thankyou, arXiv. Fred Lunnon