Find an atlas and coordinates for a torus T^2 = S^1 X S^1

[bjogae]

Homework Statement

Find an atlas and coordinates for a torus T^2 = S^1 X S

Homework Equations

The Attempt at a Solution

I know that an atlas on a manifold M is a collection of charts whose domains cover M, but i am not sure how to start this one mathematically.

 

[Office_Shredder]

Do you know how to find an atlas on a cylinder? If so, just do that then imagine gluing the ends of the cylinder together... what do you get for your charts?

 

[bjogae]

Actually, no, i don't. I get that a cylinder is S1 × [0, 1], and I think I know how to find the atlas on a circle, I just feel so lost on how to apply it on a cylinder.