The Möbius strip has several curious properties. A model of a Möbius strip can be constructed by joining the ends of a strip of paper with a single half-twist. A line drawn starting from the seam down the middle will meet back at the seam but at the "other side". If continued the line will meet the starting point and will be double the length of the original strip of paper. This single continuous curve demonstrates that the Möbius strip has only one boundary. The benefit of envisioning the program arrangements in terms of a Möbius strip is that the boundary alternates it's 'inside' and 'outside', creating different relationships with the surrounding context.
A torus knot can be generated by determining the P and Q of a Möbius strip, the knot evolves in complexity. P describes up-and-down and Q describes the number of times it rotates around-the-center. It can also be understood as numbers of loops and petals. Another element is the number of twists in the strip, which plays a major role in adjusting the locations of normals at specific points. The following is a catalog of knots with different properties of P, Q, and twists.
Catalog1: Basic Parameters
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