Claudia_Ex04A_Polygonal Surface

####### Ex04A #######
# a) Create a curve from points
# b) create several curves
# c) loft the curves to create a Nurbs Surface
# d) Convert the Nurbs Surface to a Polygonal Surface
# e) Modify the vertices of the Polygonal Surface randomly
# f) finish
#################################

import maya.cmds as cmds
from math import*
import random

# a) Create a curve from points
# define Curve
def Curve(numPoints):
    # define initial variables
    numPoints= 60
    # create an empty list to store the points
    Points= []    
    #loop and gather point information
    for i in range (0, numPoints,1):
        # function of the conical helix to generate a curve
        x= i*cos(6*i)
        y= i*(sin(6*i)+2)
        z= i+3
        myPoint= (x,y,z)
        # store the points in the list
        Points.append(myPoint)
    #create the curve
    Curve= cmds.curve(d=3, p=Points) #curve of degree 3
    return Curve

MyCurve= Curve(60)

#hide the Curve
cmds.hide(MyCurve)

# b) create several curves
# create an empty list to store the curves
myCurves=[]
# define variables
numCrvs= 9
offset= 4
# create a loop
for e in range (0, numCrvs,1):
    crv= Curve(e)
    offset= offset*1.2
    #store the curve in the list
    myCurves.append(crv)
    #move the curves with an offset in the "z" axis
    cmds.move(0,0,offset,crv)

# c) Loft the curves to create a Nurbs surface
myNurbsSurface= cmds.loft(myCurves, n="myNurbsSurf")

#hide the curves
cmds.hide(myCurves)

# d) convert the Nurbs Surface to Polygonal Surface
# get the Nurbs surface
myNurbsSurface= cmds.filterExpand(sm=10)

# convert
myPolySurface=cmds.nurbsToPoly("myNurbsSurf",pt=1, n="myPolySurf")

#hide the Nurbs Surface
cmds.hide("myNurbsSurf")

# e) Move the vertices of the Polygonal surface randomly
# get all the vertices of myPolySurface
allCvs= cmds.ls("myPolySurf.vtx[:][:]", fl=1)

# Move the vertices in PolySurface randomly
def moveVertiRandomly(allCvs, minimum, maximum):
    if minimum>= maximum:
        print "poly"
    # start a loop through all vertices in "x" and "y" axes
    else:
        for i in allCvs:
            x= random.uniform(minimum, maximum)*e
            y= random.uniform(minimum, maximum)*e
            z= 0
            cmds.move (x,y,z,i,r=True)
# move vertices randomly
moveVertiRandomly (allCvs, 0, 0.6)

# f) finish!