Sketching by Rhino ( Python + Rhinoscript). the Weaving of Trumpets
The principle behind the script
The script creates a three-dimensional matrix of points distributed in geometric space.
For each elementary cubic module, find the centroid and subsequently for each face of the cube a 4×4 matrix of points lying on each face. For each face, it randomly searches for a point starting from which it draws a circle with a random radius. The circles will represent the cross-sections of a surface generated by the Loft command. Each loft will have a circumference with a constant radius with a centre coinciding with the centroid of the elementary basic module, but each is time-oriented according to the direction of the faces to be connected. All this ends with the generation of a central sphere and the assignment of a different colour for each module according to an RGB gradient. The script provides several inputs able to differentiate the final outputs from time to time.
Feel free to edit/modify the script below
#Sketching by Rhino | Weaving of Trumpets - by Luciano Ambrosini import rhinoscriptsyntax as rs import random as rnd ##---MY FUNCTIONS DEFINITION---# def SetGrid(): #create an empty list/dict ptList = [] ptDict = {} ##-----INPUT-----## #input values for imax and jmax and x and y spacing values imax = rs.GetInteger("input number in x direction",10) jmax = rs.GetInteger("input number in y direction",2) kmax = rs.GetInteger("input number in k direction",10) dx = rs.GetReal("input number for x spacing direction",5) dy = rs.GetReal("input number for y spacing direction",5) dz = rs.GetReal("input number for z spacing direction",5) #ASK ABOUT DISPLAYING DOT TEXT E CHECK IF THE ANSWER IS CORRECT #SET MESSAGE AND OPTIONS #for dotText strPrompt1 = "would you like to print dotText?" strOptions1 = ["yes","no"] strPromptErr1="Please write 'yes' or 'no'" #for shifting Pts strPrompt2 = "would you like to shift Points location?" #proportionally space the points strPrompt3 = "would you like to proportionally space the points?" #ASK FOR INPUT/QUESTION ABOUT TEXT DOT showDot=rs.GetString(strPrompt1,"no",strOptions1) #assign check-flag if (showDot == "yes" or showDot == "no"): checkDot=1 else: checkDot=0 #check loop for Text dot while checkDot!=1: showDot=rs.GetString(strPromptErr1,"no",strOptions1) if (showDot != "yes" or showDot !="no"): checkDot=0 elif showDot==None: showDot="no" checkDot=1 else: checkDot=1 #ASK THE FOR PROPORTIONAL SPACING propPts=rs.GetString(strPrompt3,"no",strOptions1) #assign check-flag if (propPts == "yes" or propPts == "no"): checkProp=1 else: checkProp=0 #check loop for spacing proportionally Pts while checkProp!=1: propPts=rs.GetString(strPromptErr1,"no",strOptions1) if (propPts != "yes" or propPts !="no"): checkProp=0 elif propPts==None: propPts="no" checkProp=1 else: checkProp=1 #ASK THE FOR SHIFTING PTS shiftPts=rs.GetString(strPrompt2,"no",strOptions1) #assign check-flag if (shiftPts == "yes" or shiftPts == "no"): checkShift=1 else: checkShift=0 #check loop for shifting Pts while checkShift!=1: shiftPts=rs.GetString(strPromptErr1,"no",strOptions1) if (shiftPts != "yes" or shiftPts !="no"): checkShift=0 elif shiftPts==None: shiftPts="no" checkPts=1 else: checkShift=1 #return (checkDot,checkProp,checkPts) ##-----GENERATE GRID-----## #set shifting Pts random values rndSpts=1 rndEpts=5 rndSTpts=1 #nested incremental loop to generate a matrix-points for i in range(imax): for j in range(jmax): for k in range(kmax): if shiftPts=="yes" and propPts=="yes": x = (i+i*i)*dx + i*(rnd.randrange(rndSpts,rndEpts,rndSTpts,int)) y = (j+j*j)*dy + i*(rnd.randrange(rndSpts,rndEpts,rndSTpts,int)) z = (k+k*k)*dz + i*(rnd.randrange(rndSpts,rndEpts,rndSTpts,int)) elif shiftPts=="yes" and propPts=="no": x = i*dx + (rnd.randrange(rndSpts,rndEpts,rndSTpts,int)) y = j*dy + (rnd.randrange(rndSpts,rndEpts,rndSTpts,int)) z = k*dz + (rnd.randrange(rndSpts,rndEpts,rndSTpts,int)) elif shiftPts=="no" and propPts=="yes": x = (i+i*i)*dx y = (j+j*j)*dy z = (k+k*k)*dz else: #case: no-shifted and no prop Pts x = i*dx y = j*dy z = k*dz #draw Pts in Rhino.Space #rs.AddPoint(x,y,z) #print dot texts if showDot=="yes": rs.AddTextDot((x,y,z), (x,y,z)) #save point values in a dictionary using (i,j) as a key ptDict[(i,j,k)] = (x,y,z) return(ptDict,imax,jmax,kmax,propPts) def numberPoints(points): for i in range(len(points)): #rs.AddPoint(points[i]) rs.AddTextDot(i, points[i]) def RndID(gridPts): #find max dim of a list of points (points from srf control points list) dim=len(gridPts)-1 id=rnd.randint(0,dim) return(id) def RndRAD(max): #random radius rad=round(rnd.uniform(0.5,max/3),2) return (rad) def PtFrame(origin,ptDict,loc): #generate frame of my cube-module by origin and loc (loc:front,back,left,right,bottom,up) if loc=='front'or loc=='back': xaxis=(1,0,0) yaxis=(0,0,1) elif loc=='left' or loc=='right': xaxis=(0,1,0) yaxis=(0,0,1) elif loc=='bott' or loc=='up': xaxis=(1,0,0) yaxis=(0,1,0) Frm=rs.PlaneFromFrame(origin,xaxis,yaxis) return(Frm) def wallType01(ptDict,IMAX,JMAX,KMAX,propGrid): #scale factor sclF=0.5 #Mid circle radius midRad=0.5 for i in range(IMAX): for j in range(JMAX): for k in range(KMAX): if i > 0 and j > 0 and k > 0: #cube-module centroid Crossline=rs.AddCurve((ptDict[(i-1,j-1,k-1)],ptDict[(i,j,k)])) centroid=rs.AddPoint(rs.CurveMidPoint(Crossline)) rs.DeleteObject(Crossline) #FRONT FACE #find Front Face centroid FFline=rs.AddCurve((ptDict[(i-1,j-1,k-1)],ptDict[(i,j-1,k)])) centFace=rs.AddPoint(rs.CurveMidPoint(FFline)) rs.DeleteObject(FFline) #create construction surface to find grid of points srf = rs.AddSrfPt((ptDict[(i-1,j-1,k)], ptDict[(i,j-1,k)], ptDict[(i,j-1,k-1)], ptDict[(i-1,j-1,k-1)])) #scale srf rs.ScaleObject(srf,centFace,(sclF,sclF,sclF),False) #rebuild surface to create 4 x 4 grid (9 quadrants) rs.RebuildSurface(srf, (3,3), (4,4)) #extract points from grid FFpts = rs.SurfacePoints(srf) #call function to reveal order of points #numberPoints(FFpts) #delete construction surface rs.DeleteObject(srf) rs.DeleteObject(centFace) #BACK FACE #find Back Face centroid BFline=rs.AddCurve((ptDict[(i-1,j,k-1)],ptDict[(i,j,k-1)])) centFace=rs.AddPoint(rs.CurveMidPoint(BFline)) rs.DeleteObject(BFline) #create construction surface to find grid of points srf = rs.AddSrfPt((ptDict[(i-1,j,k-1)], ptDict[(i,j,k-1)], ptDict[(i,j,k)], ptDict[(i-1,j,k)])) #scale srf rs.ScaleObject(srf,centFace,(sclF,sclF,sclF),False) #rebuild surface to create 4 x 4 grid (9 quadrants) rs.RebuildSurface(srf, (3,3), (4,4)) #extract points from grid BFpts = rs.SurfacePoints(srf) #delete construction surface rs.DeleteObject(srf) rs.DeleteObject(centFace) #LEFT FACE #find Left Face centroid LFline=rs.AddCurve((ptDict[(i-1,j,k-1)],ptDict[(i-1,j-1,k)])) centFace=rs.AddPoint(rs.CurveMidPoint(LFline)) rs.DeleteObject(LFline) #create construction surface to find grid of points srf = rs.AddSrfPt((ptDict[(i-1,j,k-1)], ptDict[(i-1,j-1,k-1)], ptDict[(i-1,j-1,k)], ptDict[(i-1,j,k)])) #scale srf rs.ScaleObject(srf,centFace,(sclF,sclF,sclF),False) #rebuild surface to create 4 x 4 grid (9 quadrants) rs.RebuildSurface(srf, (3,3), (4,4)) #extract points from grid LFpts = rs.SurfacePoints(srf) #call function to reveal order of points #numberPoints(LFpts) #delete construction surface rs.DeleteObject(srf) rs.DeleteObject(centFace) #RIGHT FACE #find Right Face centroid RFline=rs.AddCurve((ptDict[(i,j-1,k-1)],ptDict[(i,j,k)])) centFace=rs.AddPoint(rs.CurveMidPoint(RFline)) rs.DeleteObject(RFline) #create construction surface to find grid of points srf = rs.AddSrfPt((ptDict[(i,j-1,k-1)], ptDict[(i,j,k-1)], ptDict[(i,j,k)], ptDict[(i,j-1,k)])) #scale srf rs.ScaleObject(srf,centFace,(sclF,sclF,sclF),False) #rebuild surface to create 4 x 4 grid (9 quadrants) rs.RebuildSurface(srf, (3,3), (4,4)) #extract points from grid RFpts = rs.SurfacePoints(srf) #delete construction surface rs.DeleteObject(srf) rs.DeleteObject(centFace) #BOTTOM FACE #find Bottom Face centroid BbFline=rs.AddCurve((ptDict[(i-1,j-1,k-1)],ptDict[(i,j,k-1)])) centFace=rs.AddPoint(rs.CurveMidPoint(BbFline)) rs.DeleteObject(BbFline) #create construction surface to find grid of points srf = rs.AddSrfPt((ptDict[(i-1,j-1,k-1)], ptDict[(i-1,j,k-1)], ptDict[(i,j,k-1)], ptDict[(i,j-1,k-1)])) #scale srf rs.ScaleObject(srf,centFace,(sclF,sclF,sclF),False) #rebuild surface to create 4 x 4 grid (9 quadrants) rs.RebuildSurface(srf, (3,3), (4,4)) #extract points from grid BbFpts = rs.SurfacePoints(srf) #call function to reveal order of points #numberPoints(BbFpts) #delete construction surface rs.DeleteObject(srf) rs.DeleteObject(centFace) #UPPER FACE #find Bottom Face centroid UpFline=rs.AddCurve((ptDict[(i-1,j-1,k)],ptDict[(i,j,k)])) centFace=rs.AddPoint(rs.CurveMidPoint(UpFline)) rs.DeleteObject(UpFline) #create construction surface to find grid of points srf = rs.AddSrfPt((ptDict[(i-1,j-1,k)], ptDict[(i-1,j,k)], ptDict[(i,j,k)], ptDict[(i,j-1,k)])) #scale srf rs.ScaleObject(srf,centFace,(sclF,sclF,sclF),False) #rebuild surface to create 4 x 4 grid (9 quadrants) rs.RebuildSurface(srf, (3,3), (4,4)) #extract points from grid UpFpts = rs.SurfacePoints(srf) #delete construction surface rs.DeleteObject(srf) rs.DeleteObject(centFace) ###CREATE CIRCLES### #DRAW FRONT-FACE AND BACK-FACE CIRCLES #random point from srf control points id=RndID(FFpts) #Draw a circle in Front/Back planes Fframe=PtFrame(FFpts[id],ptDict,'front') radius=RndRAD(5) FCircle=rs.AddCircle(Fframe,radius) #random point from srf control points id=RndID(BFpts) Bframe=PtFrame(BFpts[id],ptDict,'back') radius=RndRAD(5) BCircle=rs.AddCircle(Bframe,radius) #Middle circle C1frame=PtFrame(centroid,ptDict,'front') MCircle1=rs.AddCircle(C1frame,midRad) #DRAW LEFT-FACE AND RIGHT-FACE CIRCLES #random point from srf control points id=RndID(LFpts) #Draw a circle in Front/Back planes Lframe=PtFrame(LFpts[id],ptDict,'left') radius=RndRAD(5) LCircle=rs.AddCircle(Lframe,radius) #random point from srf control points id=RndID(RFpts) Rframe=PtFrame(RFpts[id],ptDict,'right') radius=RndRAD(5) RCircle=rs.AddCircle(Rframe,radius) #Middle circle C2frame=PtFrame(centroid,ptDict,'left') MCircle2=rs.AddCircle(C2frame,midRad) #DRAW BOTTOM-FACE AND UPPER-FACE CIRCLES #random point from srf control points id=RndID(BbFpts) #Draw a circle in Front/Back planes Bbframe=PtFrame(BbFpts[id],ptDict,'bott') radius=RndRAD(5) BbCircle=rs.AddCircle(Bbframe,radius) #random point from srf control points id=RndID(UpFpts) Upframe=PtFrame(UpFpts[id],ptDict,'up') radius=RndRAD(5) UpCircle=rs.AddCircle(Upframe,radius) #Middle circle C3frame=PtFrame(centroid,ptDict,'bott') MCircle3=rs.AddCircle(C3frame,midRad) ###CREATE SURFACES### #Loft from Front to Back loft1=rs.AddLoftSrf((FCircle,MCircle1,BCircle)) #rs.ObjectColor(loft1, (255/IMAX*i, 255-(255/JMAX)*j,255/KMAX*k)) #loft from left to Right loft2=rs.AddLoftSrf((LCircle,MCircle2,RCircle)) #rs.ObjectColor(loft2, (255/IMAX*i, 255-(255/JMAX)*j,255/KMAX*k)) #loft from bottom to up loft3=rs.AddLoftSrf((BbCircle,MCircle3,UpCircle)) #Draw sphere if propGrid=='yes': sphere=rs.AddSphere(centroid,1.2*i) else: sphere=rs.AddSphere(centroid,1.2) rs.ObjectColor(sphere, (255/IMAX*i, 255-(255/JMAX)*j,255/KMAX*k)) Obj=loft1+loft2+loft3 rs.ObjectColor(Obj, (255/IMAX*i, 255-(255/JMAX)*j,255/KMAX*k)) return() ##---MAIN RUN---# def main(): #call function rs.EnableRedraw(False) Pts3D,IMAX,JMAX,KMAX,propGrid=SetGrid() wallType01(Pts3D,IMAX,JMAX,KMAX,propGrid) rs.EnableRedraw(True) #call main() function to start program main()
