some models using your paper (or other material), scissors, glue and paints;
those models will make it easier to follow what is proposed. However, the
consideration of paper models for the Möbius strip - or any other surface
- raises the need to clarify some important conventions; without clear ideas
about what the "points" of the surface represented by the model
are, some of the questions discussed cannot be understood.
to discover what there is in common between the various models you constructed
and what distinguishes them. The precise mathematical formulation of some
of the differences is a somewhat subtle question.
the scope of some pages on the non-orientability
of the Möbius strip, some animations with "disorienting"
paths were added on
some of the surfaces.
(*) Difficulty level: University