I blogged many times about the Mobius strip, a fascinating object and superb to introduce mathematics to the uninitiated. Algebraic Geometry is the field of mathematics where they try ( more often do ) to catch these objects in polynomial equations. A quick browse ( or read ) of this PDF may give you an idea of the field.
http://data.imaginary-exhibition.com/IMAGINARY-Moebiusband-Stephan-Klaus.pdf
Found while surfing IMAGINARY.
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