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## Homework Statement

Find the fundamental group of [itex]T^{n}[/itex], the torus with n holes, by finding the planar representation of [itex]T^{n}[/itex].

## Homework Equations

I'm just having a hard time finding the planar representation of [itex]T^{n}[/itex]. I can't picture it.

## The Attempt at a Solution

I can see how the picture attached rolls up into a torus. It rolls into a cylinder and then curls around into a doughnut. I am just having a hard time seeing how I can get a torus with 2 holes, 3 holes etc.

Thanks!

P.S. this isn't a very rigorous class. If I just understand how/why then the teacher is happy. He's not much of a proof guy. He's happy with geometric/picture arguments.