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Criticism of amateur mathematicians
The following is the wrong view of Wang Xiaoming, Emei Sanatorium of Sichuan Petroleum Administration Bureau in Leshan City:

Wang Xiaoming invented eight pairwise connected regions with genus 2:

P is the number of holes. When p=2. N2=8 .

The picture on the right is folded in half up and down, then folded in half left and right to form a torus, and then the pipes of 7 and 8 are installed in corresponding positions, which is an 8-shaped torus.

4. We construct nine pairwise connected regions in Genus 3, in which N3=9.

Fold the above picture in half up and down, then fold it in half left and right to form a ring, and then install the trident in the corresponding position, that is, nine areas with three holes are connected in pairs.