Möbius (Möbius) stripWritten by Paul BourkeMay 1996 The Möbius stip is the simplest geometric shape which has only one surface and only one edge. It can be created by taking a strip of paper, giving it a half twist along its long axis, and then joining the two narrow ends together. The Möbius strip in 3 dimensions can be represented parametrically f(s,t) as follows
where s ranges from 0 to 2*pi and t ranges typically from 0.4 to 0.4 An example of such a strip is shown below.
Featured in "mama 27", November 2000, pp 91, Figure 17. The band for different values of t are illustrated below.
t = 1 > 1
t = 0.1 > 0.1
t = 0.5 > 0.5
Increasing the range of t even further yields interesting folded and increasingly convoluted forms.
Pisot TriaxialBy Roger BagulaGraphics by Paul Bourke August 2002
x = 0.655866 cos(1.03002 + u) (2 + cos(v))
