Mathematical Imagery by Jos Leys

Connected sums of real projective plane and torus or Klein bottle.

Visual proof that the connected sum of a real projective plane ( represented here as a Moebius strip, but remember that glueing a disc to the border of a Moebius strip produces a real projective plane) and a torus , and the connected sum of a real projective plane and a Klein bottle are homeomorphic.

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Copyright 2017 Jos Leys