Triangulation of the Klein Bottle

3.7k Views Asked by At

Why is this no triangulation of the Klein Bottle?

enter image description here

Is it because the top and the bottom triangle share 3 vertices but have different edges?

How do I find a triangulation?

1

There are 1 best solutions below

7
On BEST ANSWER

The vertices of the outer square do not remain distinct after identifying edges to create the Klein bottle. So some of your "triangles" have less than $3$ vertices.