The only connected closed surface with Euler characteristic $2$ is the sphere.Suggest a slogan
Let \(\Sigma\) be a connected closed surface with Euler characteristic \(\chi(\Sigma) = 2\). Then \(\Sigma\) is orientable of genus \(0\), and \(\Sigma \cong S^2\) [@Mun00]; [@Hat02].
Which surface has Euler characteristic 2?