Sphere Packing on a Complex Surface

This RhinoScript packs a layer of spheres on a bowl shaped surface starting from the lowest possible sphere and working  its way upwards in order to partially simulate physically placing balls in a bowl.

Sphere Packing on a Complex Surface
Option Explicit
‘Script written by <Ayodh Kamath>
‘Script copyrighted by <Ayodh Kamath>
‘Script version Thursday, June 17, 2010 11:32:09 AM
Call Main()
Sub Main()
Dim strSrf, arrSpheres, strSphere1, strSphere2, arrTanSpheres, arrCullSpheres, intSphereNum, arrSortSpheres
Dim arrCentre1, arrCentre2, strTextDot
Dim i, j, k
strSrf = Rhino.GetObject(“Select surface”, 8 )
arrSpheres = Rhino.GetObjects(“Select initial spheres starting with the two seed spheres”, 8 )
strSphere1 = arrSpheres(0)
strSphere2 = arrSpheres(1)
intSphereNum = UBound(arrSpheres)
‘Call Rhino.EnableRedraw(False)
arrTanSpheres = TangentSpheres(strSrf, strSphere1, strSphere2)
arrCullSpheres = OverlapEliminate(arrTanSpheres, arrSpheres)
For i = 0 To UBound(arrCullSpheres)
If Rhino.IsObject(arrCullSpheres(i)) Then
intSphereNum = intSphereNum + 1
ReDim Preserve arrSpheres(intSphereNum)
arrSpheres(intSphereNum) = arrCullSpheres(i)
End If
arrSortSpheres = SphereSort(arrSpheres)
arrSpheres = arrSortSpheres
For i = 0 To UBound(arrSpheres)
arrCentre1 = SphereCentre(arrSpheres(i))
strTextDot = Rhino.AddTextDot(CStr(i), arrCentre1)
For j = 0 To UBound(arrSpheres)
arrCentre2 = SphereCentre(arrSpheres(j))
If Rhino.Distance(arrCentre1, arrCentre2) < 4 And Rhino.Distance(arrCentre1, arrCentre2) > 0.1 Then
arrTanSpheres = TangentSpheres(strSrf, arrSpheres(i), arrSpheres(j))
arrCullSpheres = OverlapEliminate(arrTanSpheres, arrSpheres)
For k = 0 To UBound(arrCullSpheres)
If Rhino.IsObject(arrCullSpheres(k)) Then
intSphereNum = intSphereNum + 1
ReDim Preserve arrSpheres(intSphereNum)
arrSpheres(intSphereNum) = arrCullSpheres(k)
Call Rhino.MessageBox(“Number of spheres = “&CStr(intSphereNum+1))
arrSortSpheres = SphereSort(arrSpheres)
arrSpheres = arrSortSpheres
End If
End If
‘Call Rhino.EnableRedraw(True)
End Sub
Function TangentSpheres(strSrf, strSphere1, strSphere2)
End Function
Function JoinCurve(arrCrvs)
End Function
Function OverlapEliminate(arrSpheres1, arrSpheres2)
End Function
Function SphereSort(arrSpheres)
End Function
Function SphereCentre(strSphere)
End  Function

3 thoughts on “Sphere Packing on a Complex Surface

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