The construction may remind you of a torus, but it intersects itself in three dimensions. I thought it could be a Klein Bottle, but I'm not sure.
The surface is traced by $S(p,q)= 10(\hat{e}_x\sin(p) +\hat{e}_y\cos(p))+(\hat{e}_y \sin (q) + \hat{e}_z \cos(q))$ Basically we have one big circle of radius 10 going around on the x-y plane and one small circle of radius 1 going around each point of that circle, but fixed to the y-z plane instead of rotating around like in a torus.
Could anybody give me a hint? I'd appreciate it!