Monday, July 02, 2012
Wednesday, May 02, 2012
Tuesday, May 01, 2012
Spiral population
Populating
a unit with ability to vary within itself on 1) a surface 2) a spiral
1) UNIT
ON A SURFACE
import rhinoscriptsyntax as rs
import random
radius=10
circles=[]
def geometry(center,radius,factor):
circle=rs.AddCircle(center,radius)
divpts=rs.DivideCurve(circle,3,create_points=True)
line=rs.AddInterpCurve([center,divpts[0],divpts[1],divpts[2],center],3)
vector=rs.VectorCreate(center,divpts[1])
length=rs.VectorLength(vector)
scaledvector=rs.VectorScale(vector,length*factor)
mid=rs.VectorAdd(center,scaledvector)
middle=rs.AddPoint(mid)
trans=radius*2
movedmid=rs.MoveObject(middle,[0,0,trans])
piece=rs.ExtrudeCurvePoint(line,movedmid)
numberofelements=random.randint(5,15)
for i in range
(0,numberofelements):
rotatepiece=rs.RotateObject(piece,movedmid,(360/numberofelements)*i,copy=True)
rs.ScaleObject(rotatepiece,middle,[1+0.01*i,01+0.01*i,1+0.01*i])
def center (pointlist):
x=0
y=0
z=0
for i in range
(0,len(pointlist)):
x = x + pointlist[i][0]
y = y + pointlist[i][1]
z = z + pointlist[i][2]
x=x/len(pointlist)
y=y/len(pointlist)
z=z/len(pointlist)
return [x,y,z]
def samplesurface(strSrf, intUdivisions,intVdivisions):
listUdomain = rs.SurfaceDomain(strSrf,0)
listVdomain = rs.SurfaceDomain(strSrf,1)
floatUstep = (listUdomain[1]-listUdomain[0])/intUdivisions
floatVstep = (listVdomain[1]-listVdomain[0])/intVdivisions
listofrows = []
for i in rs.frange(listUdomain[0],listUdomain[1],floatUstep):
columnlist = []
for j in rs.frange(listVdomain[0],listVdomain[1]+floatVstep,floatVstep):
columnlist.append(rs.EvaluateSurface(strSrf,i,j))
listofrows.append(columnlist)
return listofrows
strSrf = rs.GetObject("surface",8)
intUdivisions = 10
intVdivisions = 10
listofpoints = samplesurface(strSrf,intUdivisions,intVdivisions)
circles=[]
midpoints=[]
vectorlist=[]
for i in range
(0,len(listofpoints)-1):
for j in range
(0,len(listofpoints[i])-1):
pointlist=[]
pointlist.extend([listofpoints[i][j],listofpoints[i][j+1],listofpoints[i+1][j+1],listofpoints[i+1][j]])
midpoint=center(pointlist)
midpoints.append(rs.AddPoint(midpoint))
radius=random.randint(5,15)
for i in range
(0,len(midpoints)-1):
center=midpoints[i]
factor=-.2*(i/100)
radius=10*(1+0.01*i)
geom=geometry(center,radius,factor)
2)UNIT
ON A SPIRAL
import rhinoscriptsyntax as rs
import math
import random
def geometry(center,radius,factor):
circle=rs.AddCircle(center,radius)
divpts=rs.DivideCurve(circle,3,create_points=True)
line=rs.AddInterpCurve([center,divpts[0],divpts[1],divpts[2],center],3)
vector=rs.VectorCreate(center,divpts[1])
length=rs.VectorLength(vector)
scaledvector=rs.VectorScale(vector,length*factor)
mid=rs.VectorAdd(center,scaledvector)
middle=rs.AddPoint(mid)
trans=radius*2
movedmid=rs.MoveObject(middle,[0,0,trans])
piece=rs.ExtrudeCurvePoint(line,movedmid)
numberofelements=random.randint(5,15)
for i in range
(0,numberofelements):
rs.RotateObject(piece,movedmid,(360/numberofelements)*i,copy=True)
radius=10
bigpoints=[]
pointlist=[]
for i in range(0,20):
r=i+1
x=7*r*math.sin(i)
y=7*r*math.cos(i)
points=rs.AddPoint(x,y,i*5)
bigpoints.append(points)
for j in range(0,20):
r=j+1
x=r*math.sin(j)
y=r*math.cos(j)
points=rs.AddPoint(x,y,j)
pointlist.append(points)
trans=rs.VectorCreate(pointlist[0],bigpoints[i])
pointlist.extend(rs.CopyObjects(points,translation=-trans))
for k in range
(0,len(pointlist)-1):
center=pointlist[k]
factor=-.3*(i/70)
Differential Depth and Aperture population of a Mobius Strip
import rhinoscriptsyntax
as
rs
import math
from System.Drawing import Color
#define a mobius strip surface
xy =(10,10)
o=-0.5
p=0.5
op=1/(xy[0])
vp =2*math.pi
vpstep=vp/(xy[1])
points = []
a=2
for i in rs.frange(-0.5,0.5,op):
for j in rs.frange(0,vp,vpstep):
b=j/2
x=math.cos(j)*(a+i*math.cos(b))
y=math.sin(j)*(a+i*math.cos(b))
z=i*math.sin(b)
pt = x,y,z
points.append(pt)
xy=(xy[0]+1,xy[1]+1)
rs.AddLayer('surface',Color.Black)
srf=rs.AddSrfPtGrid(xy, points)
rs.ObjectLayer(srf,'surface')
rs.EnableRedraw(False)
#divide the srf
uDom = rs.SurfaceDomain(srf,0)
vDom = rs.SurfaceDomain(srf,1)
uDivide = 10
vDivide = 40
Ustep = (uDom[1]-uDom[0])/int(uDivide)
Vstep = (vDom[1]-vDom[0])/int(vDivide)
ptLt = []
ptNorm=[]
for i in rs.frange(uDom[0],uDom[1],Ustep):
pts = []
normLt=[]
for j in rs.frange(vDom[0],vDom[1],Vstep):
evalpt=rs.EvaluateSurface(srf,i,j)
norm=rs.SurfaceNormal(srf,(i,j))
norm=rs.VectorUnitize(norm)
norm=norm*.1
pts.append(evalpt)
normLt.append(norm)
ptNorm.append(normLt)
ptLt.append(pts)
crvLt=[]
crvcentLt=[]
rs.AddLayer('curves',Color.DarkRed)
crvsTP=[]
centTP=[]
cellNormsLt=[]
cellcrvsLt=[]
cellPtsLt=[]
for i in range(uDivide):
crvcent=[]
crvs=[]
cellpt=[]
for j in range((vDivide)):
pt1=ptLt[i][j]
ptn1=ptNorm[i][j]
pt2=ptLt[i+1][j]
ptn2=ptNorm[i+1][j]
pt3=ptLt[i][j+1]
ptn3=ptNorm[i][j+1]
pt4=ptLt[i+1][j+1]
ptn4=ptNorm[i+1][j+1]
cellPts=[pt1,pt2,pt4,pt3,pt1]
cellNorms=[ptn1,ptn2,ptn4,ptn3,ptn1]
cellNormsLt.append(cellNorms)
cellcrv=rs.AddPolyline(cellPts)
crv=rs.AddCurve(cellPts,3)
cellcrvsLt.append(cellcrv)
rs.ObjectLayer(crv,'curves')
crvs.append(crv)
crvsTP.append(crv)
cent=rs.CurveAreaCentroid(crv)
centTP.append(cent[0])
crvcent.append(cent[0])
cellPtsLt.append(cellPts)
crvcentLt.append(crvcent)
#define multiple attractor points
and define weighting of each pt on surface to closest attractor point
def closestpt(attpts,pt):
distLt=[]
count=0
for u in attpts:
count=count+1
dist=rs.Distance(u,pt)
distLt.append(dist)
mindist=min(distLt)
lenLt=len(distLt)
for j in range(0,lenLt):
if distLt[j]==mindist:
return distLt[j]
attpts=rs.GetPoints('pick pts')
lineLt=[]
dist=[]
for u in crvcentLt:
liLt=[]
for j in u:
di=closestpt(attpts,j)
liLt.append(di)
dist.append(di)
lineLt.append(liLt)
#create apertures and define
depth of surface in accordance to weighting of pt
mindist=min(dist)
maxdist=max(dist)
listLen=len(crvsTP)
mindepth=0.1
maxdepth=3
offptsLt=[]
offptsreLt=[]
offcrvLt=[]
offcrvreLt=[]
loftsqLt=[]
offcrvcentLt=[]
offcrvrecentLt=[]
offlineLt=[]
offlinereLt=[]
for i in range(listLen):
scale=(dist[i]-mindist)/(maxdist-mindist)*(maxdepth-mindepth)+mindepth
offpts=[]
offptsre=[]
listlen=len(cellNormsLt[i])
for j in range(listlen):
pt =cellNormsLt[i][j]*scale
ptvect=rs.VectorAdd(pt,cellPtsLt[i][j])
ptvectrev=rs.VectorAdd(-pt,cellPtsLt[i][j])
offpts.append(ptvect)
offptsre.append(ptvectrev)
offline=rs.AddPolyline(offpts)
offlineLt.append(offline)
offcrv=rs.AddCurve(offpts,3)
offcrvcent=rs.CurveAreaCentroid(offcrv)
offcrvcentLt.append(offcrvcent[0])
offcrvLt.append(offcrv)
offlinere=rs.AddPolyline(offptsre)
offlinereLt.append(offlinere)
offcrvre=rs.AddCurve(offptsre,3)
offcrvrecent=rs.CurveAreaCentroid(offcrvre)
offcrvreLt.append(offcrvre)
offcrvrecentLt.append(offcrvrecent[0])
offptsLt.append(offpts)
loftsq=rs.AddLoftSrf([offline,cellcrvsLt[i],offlinere])
loftsqLt.append(loftsq)
offptsreLt.append(offptsre)
#scale apertures and create
lofted surfaces
minscale=0.2
maxscale=1.0
for i in range(listLen):
scale=(dist[i]-mindist)/(maxdist-mindist)*(maxscale-minscale)+minscale
mid=rs.ScaleObject(crvsTP[i],centTP[i],(scale,scale,scale),False)
top=rs.ScaleObject(offcrvLt[i],offcrvcentLt[i],(scale,scale,scale),False)
bot=rs.ScaleObject(offcrvreLt[i],offcrvrecentLt[i],(scale,scale,scale),False)
par=rs.CurveClosestPoint(top,offptsLt[i][0])
parre=rs.CurveClosestPoint(bot,offptsreLt[i][0])
parmid=rs.CurveClosestPoint(mid,offptsreLt[i][0])
#adjust seam to loft smoothly
rs.CurveSeam(bot,parre)
rs.CurveSeam(top,par)
rs.CurveSeam(mid,parmid)
rs.AddLoftSrf([offlinereLt[i],bot])
rs.AddLoftSrf([offlineLt[i],top])
lofttube=rs.AddLoftSrf([bot,mid,top])
rs.LayerVisible('surface',False)
rs.EnableRedraw(True)
multiple attractor points set points of shallow component depth and aperture size
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