honeycumb

Hi guys! Before studying Vink's exeples about texturing I tryed to create an honeycumb surface. It is only a simple test and probably I didn't follow the better way for create an Hexagon grid. In future I'll optimize this, may be using rules like attractors or surface curvature...

(sorry for comments, but is only a draft, and coding is simple to understand)


[EDIT]

well, I modified the code revising some errors (like problems with closed surfaces, not completly solved). I also insert comments. I hope it's clear now... ;-)

[/EDIT]

[EDIT]

I also added a diagram for better explain meaning of formulas with sin() and cos() ;-)

[/EDIT]

Option Explicit
' Script written by Alessandro Zomparelli
' alessandro.zomparelli@gmail.com
' http://alessandrozompa.altervista.org/
' Script version sabato 9 maggio 2009 17.11.41

Call Main()
Sub Main()
Call Rhino.EnableRedraw(False)

Dim strSrf, u, v, arrParC, arrUdom, arrVdom, s, u1, v1
ReDim arrParC(1)
strSrf = Rhino.GetObject("pick target surface")
u1 = Rhino.GetInteger("number of U subdivision", 10, 2)
v1 = Rhino.GetInteger("number of V subdivision", 10, 2)

'we are trying to define a grid for drawing hexagons,
'For Do this we need to define the unit parameter to whom refer coordinates:
'For example I choose the radius of circle in whom hexagon is inscribed
'Now we evaluate the number of radius needed for drawing the choosen number of hexagons
v = v1*2*sin(ToRadians(60))
u = u1*(1+cos(ToRadians(60)))

'Here we ask to user the scale of holes
s = Rhino.GetReal("scale value for holes", 0.5, 0.1, 1)

arrUdom = Rhino.SurfaceDomain(strSrf, 0)
arrVdom = Rhino.SurfaceDomain(strSrf, 1)

Dim arrPts, i, j, arrPtsE, arrPtM
ReDim arrPts(3), arrPtsE(6), arrPtM(2)


'now I define the parameter to use for conversion from xy units to uv
Dim parU, parV
parU=(arrUdom(1)-arrUdom(0))/u
parV=(arrVdom(1)-arrVdom(0))/v

For i=0 To u1/2-1
For j=0 To v1-1

'center of hexagon A
arrParC(0) = 2*i*parU*(1+cos(ToRadians(60)))
arrParC(1) = j*parV*2*sin(ToRadians(60))

'drawing hexagon
Call Hexagon(strSrf, parU, parV, arrParC, arrPtsE)
'creating panels
Call Panel (strSrf, arrParC, arrPtsE, s)

'center of hexagon B
arrParC(0) = 2*(i+0.5)*parU*(1+cos(ToRadians(60)))
arrParC(1) = (j+0.5)*parV*2*sin(ToRadians(60))
'drawing hexagon
Call Hexagon(strSrf, parU, parV, arrParC, arrPtsE)
'creating panels
Call Panel (strSrf, arrParC, arrPtsE, s)
Next
Next
Call Rhino.DeleteObject(strSrf)
Call Rhino.EnableRedraw(True)

End Sub

Sub Hexagon (strSrf, parU, parV, arrParC, arrPtsE)
Dim i, strExa
ReDim arrPtsE(6)
For i=0 To 6
'coordinates of vertex related to local center
arrPtsE(i)=Rhino.EvaluateSurface(strSrf, array(arrParC(0)+cos(i*ToRadians(60))*parU,arrParC(1)+sin(i*ToRadians(60))*parV))
Next
End Sub

Sub Panel (strSrf, arrParC, arrPtsE, s)
Dim strExa, strIn, arrPtM, arrPlane
strExa=Rhino.AddPolyline(arrPtsE)
strIn=Rhino.AddPolyline(arrPtsE)
arrPlane=Rhino.SurfaceNormal(strSrf,arrParC)
If isnull (arrPlane) Then Exit Sub
arrPtM=Rhino.EvaluateSurface(strSrf,arrParC)
Call Rhino.ScaleObject(strIn, arrPtM, (array(s,s,s)))
Call Rhino.MoveObject(strIn,arrPlane)
Call Rhino.AddLoftSrf(array(strExa,strIn))
Call Rhino.DeleteObjects(array(strExa,strIn))
End Sub