A parametric representation of a Mobius strip, with its centre-line a circle of radius r in the xy plane, and with a width of (2 * w), is as follows:
x = ((r + (t * cos(u / 2))) * cos(u))
y = ((r + (t * cos(u / 2))) * sin(u))
z = (t * sin(u / 2))
0 ≤ t ≤ w
(0 ≤ u ≤ (4 * π))
r = 5 and w = 1 draws a pretty good Mobius strip.
The parameterisation also works with the intervals:
-w ≤ t ≤ w
(0 ≤ u ≤ (2 * π))