Ajd' i ja malo da pomognem, to već nekoliko godina više nije to što misliš da jeste. :)

Da li neko ima resenje sa dokazom? Nemam pojma ni to odakle da pocnem. Lako je smisliti razne konfiguracije smestanja lopti ali kako dokazati da je jedna konfiguracija optimalna?

Imam ja, ali nije naročito elegantno. Hint: razmisli šta bi mogla da znači moja prethodna poruka sa ove teme.

Hehe .. dobrog li pitanja , evo ti procenta (max):1- 3/(4*pi)





_{[Ovu poruku je menjao StratOS dana 02.09.2005. u 08:28 GMT+1]}

He he, pretpostavio sam da nije neki tako lak zadatak. Kljucne reci za google ako nekoga zanima: Sphere packing ili sphere packing problem.

Hm... Kako si uspeo da dobiješ ovo, pošto je dokazani maksimalni procenat jednak što je manje od tvog rezultata?

http://mathworld.wolfram.com/SpherePacking.html

Tu imas primere raznih konfiguracija. Problem je star skoro 400 godina i tek je skoro resen pomocu racunara. Sam dokaz ima 250 stranica raznog teksta i kompjuterskih izracunavanja.

Kad smo već uništili zabavu onima koji su hteli samostalno da reše problem :) preciznija referenca od ove koje je dao srki je http://mathworld.wolfram.com/KeplerConjecture.html a zvaničan sajt autora dokaza je http://www.math.pitt.edu/~thales/kepler98/ i tamo možete pronaći sve što vas interesuje.

Ih bre pametnjakovići, niste morali da upropastite svu zabavu :)

Proof confirmed of 400-year-old fruit-stacking problem
11:42 12 August 2014 by Jacob Aron

A computer-verified proof of a 400-year-old problem could pave the way for a new era of mathematics, in which machines do the grunt work and leave humans free for deeper thinking.

The problem is a puzzle familiar to greengrocers everywhere: what is the best way to stack a collection of spherical objects, such as a display of oranges for sale? In 1611 Johannes Kepler suggested that a pyramid arrangement was the most efficient, but couldn't prove it.

Now, a mathematician has announced the completion of an epic quest to formally prove the so-called Kepler conjecture. "An enormous burden has been lifted from my shoulders," says Thomas Hales of the University of Pittsburgh, Pennsylvania, who led the work. "I suddenly feel ten years younger!"

http://www.newscientist.com/ar...king-problem.html#.U-pRf4BdW_d