About the page
Talking about the "Möbius strip" will serve as a pretext for gradually mentioning important mathematical concepts, such as, for instance: surfaces, curves, orientation, "sides" of a surface or curve, several types of equivalence among the objects presented, intrinsic character (or not) of certain properties, ...
- The construction of models with paper, pencil, glue, etc will be proposed and those proposals will be illustrated with figures and animations.
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The underlying philosophy
of this page is the following:
- There is no initial complete plan of the contents, only a sketch of what will be included initially.
- Questions, suggestions and (constructive) criticism are strongly encouraged.
- The evolution of the page will take into account, whenever possible, the questions or doubts raised and the suggestions presented.
- Sometimes questions which encourage some thought will be raised. Some of those questions can be understood independently of the culture and previous mathematical background (which may actually be non existent) but admit several different levels of understanding, depending on that degree of preparation; they therefore have correspondingly different levels of answers.