Möbius (Möbius) stripWritten by Paul Bourke
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 Bagula
Graphics by Paul Bourke
x = 0.655866 cos(1.03002 + u) (2 + cos(v))