##
# Klein bottle
# p01 2010
# Maya python script
##
 
from math import sin, cos, pi
from maya.cmds import curve, ls, loft, delete
 
rad = 1
uRes = .1
vRes = .1
 
cvs = []
u = -pi
while u <= pi :
    pts = []
    v = -pi
    while v <= pi :
        x = cos(u) * (rad + sin(v) * cos(u/2) - sin(2*v) * sin(u/2)/2)
        y = sin(u) * (rad + sin(v) * cos(u/2) - sin(2*v) * sin(u/2)/2)
        z = sin(u/2) * sin(v) + cos(u/2) * sin(2*v)/2
        pts.append((x, y, z))
        v += vRes
    u += uRes
    curve(p=pts)
    cv = ls(sl=1)
    cvs.append(cv[0])
loft(cvs)
delete(cvs)