Question

@Kainui

Answer 1

let the plan be a function that holds are integers number , we need to find a function f that maps the plane to the sphere

Answer 2

i chose the pole function , which means take the line btw line p in plane and pole point , the intersection point with the surface would be our representation

Answer 3

Well I don't know how to show it, but my thoughts were something like all prime numbers are really just the beginning of a periodic sequence and you can always find a reflected pattern, so if I show 2 and 3 it looks like this: \[\LARGE 0 \ 1 \ 2 \ 3 \ 4 \ 5 \ 6 \\ \LARGE x \ o \ x\ x\ x \ o \ x\] this is just the smallest one I could easily type up but just mark out all factors of 2 and 3 starting at 0 and you will always get a pattern. Primes are just the first number after 0 to form the pattern. This is a single unit that repeats back and forth among many forever after it begins so it sort of is just like ABABABABAB where A and B are just reverses of each other. I think for evens you have to throw a extra number in the middle.

But the reltaion to the goldbach is that every number is the average of two primes, which means they two have a reflection, that's how it seems useful and like this thingy.

Answer 4

i see what u mean !

Answer 5

But I have never really heard of this thing before you seem to know stuff about it drawing spheres and stuff! #_#

Answer 6

i was like thinking since we can map natural to a sphere then we an apply Borsuk-Ulam Theorem

Answer 7

yeah expert in geometry :P
including spherical geometry bhahahaha

Answer 8

I think this is related to this one youtube video I saw where they had a table and then if you rotate it, it will eventually be flat, and it was like related to the mean value theorem basically, is this kind of like that or not?

Answer 9

naa u dint get the idea how to map plane to sphere i can explain it its simple

Answer 10

like this