The real projective plane \(\mathbb R\mathrm P^2\) is obtained by identifying the antipodal points of the a \(2\)-sphere \(\mathbb S^2\), i.e. \(\mathbb R\mathrm P^2 = \mathbb S^2/_\sim\) with equivalence relation given by \[ x\sim y \Leftrightarrow y = \pm x.\] The … Continue reading Tutorial 4: Boy’s Surface