Regargind the Klein bottle $K$ as its identification space, I want to know what is the subspace of $K$ obtained by identifying the outer edges of the shaded region of the figure.
The main reason I want to visualize this, is because I want to find a map from the punctured torus to Klein bottle. And I am regarding punctured torus as figure eight. This is exercise (12.12) from Greenberg & Harper's book, An introduction to algebraic topology.
Does this help? I used the visualization here