##
# Tractrix based surface
# p01 2010
# Maya python script
##

from math import cos, cosh, tanh, pi
from maya.cmds import curve, ls, loft, delete

uRes = .2
vRes = .2

cvs = []
u = 0
while u <= 2 * pi :
    pts = []
    v = -pi
    while v <= pi :
        x = cos(u) * (v - tanh(v))
        y = cos(u) / cosh(v)
        z = x*x - y*y + 2 * x * y * tanh(u)*tanh(u)
        pts.append((x, y, z))
        v += vRes
    u += uRes
    curve(p=pts)
    cv = ls(sl=1)
    cvs.append(cv[0])
loft(cvs, c=1)
delete(cvs)