I am pedagogical about "secondpowering & secondrooting," partly because of Bucky, but I took it further to the obvious simplciity of using the unit-diameter sphere as the proper standard of mensuration, whereas Bucky was justifiably all on about the God-am tetrahedron. actually, there sphere & tetrahedron/tetraasteron are really the same thing, in plenty of ways.
cf, the "lunes proof" of the pythagorean theorem, clearly the original proof -- even if Hippocrates (not, though, the medical one) came after Pythagoras -- and extend it to the two spatial analogs.
> do you find it surprising, that phi is involved?... > > I wonder if the other guy has not already gotten a recurrence > relation to generate the twin primes, akin to Lucas sequences. > > yes, I'm sure it is the correct formula, although > I would now put it somehwat differently, > as an explicit "constitutional equation > for Big Phi or Brun's constant," or how ever it should be said.