# Contents

## Idea

As a polygon the square is the regular 4-gon.

As a topological space it is the product topological space of the bounded closed interval with itself, $[0,1]^2$ .

## Quotients

The identification of opposite sides of the square yields the cylinder and the torus.

And the identification with opposite orientation yields the Möbius strip.

graphics grabbed from Lawson 03

## References

• Terry Lawson, Topology: A Geometric Approach, Oxford University Press (2003) (pdf)

Last revised on April 27, 2017 at 02:25:58. See the history of this page for a list of all contributions to it.