Timsup2nothin
Deity
- Joined
- Apr 2, 2013
- Messages
- 46,737
Well yeah, i was being lazy and also thinking of a famous hypothesis or claim phrased with such hypothetical 2d sensing ants (a hypothesis about such a being being or not able to gather whether a plane it is walking on is in fact not linear but curved. Iirc the Russian mathematician, Gregory Pererlman, provided some sort of general answer for that a few years ago).
PS: yes, it was a claim/hypothesis by Poincare, of the eponymous symmetry system used by Einstein as wellYou can read about it here: http://www.claymath.org/millennium-problems-poincaré-conjecture/perelmans-solution
Too much reading...any sufficiently large construction will demonstrate that the plane upon which it is constructed is curved, if it is.