Images for Mathematics

A sphere with 2 handles

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The theorem of classification of the surfaces states that any compact, connected, orientable surface without boundary can be related to a standard surface. We can visualize these standard surfaces as spheres with some handles attached. In the figure, we see an example with 2 handles and it is easy to imagine spheres with a greater or smaller number of handles. Otherwise, another equivalent standard shape is a doughnut with a certain number of holes.

The image belongs to the sections...:
The double torus (Topology)
Standard surfaces (Topology)


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