##
# Dinis surface
# p01 2010
# Maya python script
##
 
from math import cos, sin, log, tan, pi
from maya.cmds import curve, ls, loft, delete
 
rad = 5
len = 1
laps = 3
inRad = 0.1
uRes = 0.3
vRes = 0.1
 
cvs = []
u = 0
while u <= laps*2*pi :
    pts = []
    v = 1.6
    while v <= pi-inRad :
        x = rad * cos(u) * sin(v)
        y = rad * sin(u) * sin(v)
        z = rad * (cos(v) + log(tan(v/2))) + len * u
        pts.append((x, y, z))
        v += vRes
    u += uRes
    curve(p=pts)
    cv = ls(sl=1)
    cvs.append(cv[0])
loft(cvs)
delete(cvs)