Textbook Problem

Let A be the set of points in the rectangle withxandy coordinates between 0 and 1. That is.
   $A=\left\{\left(x,y\right)\in R\times R|0\le x\le 1\text{and}\text{0}\le \text{y}\le \text{1}\right\}.$

Define a relation R on A as follows: For all $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ in A,

In other words, all points, along the top edge of the rectangle are related to the points along the bottom edge directly beneath them, and all points directly opposite each other alone the left and right edges are related to each other. The points in the interior of the rectangle are not related to anything other than themselves. Then R is an equivalence relation on A. Imagine gluing together all the plants that are in the same equivalence class. Describe the resulting figure