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  • Writer's pictureDavid Mans

Triangulate Tile

💻 Rhino 5

🔼 Rhino Script

🛠️ Visual Basic

 

This Rhino Script uses a series of curves, warp, and weft, running parallel to the UV directions of a surface, weaving two disparate series of integers as rules for the over/under pattern.

 
Option Explicit
'Script written by <David Mans>
'Script copyrighted by <Neoarchaic Studio>
'Script version Saturday, March 07, 2009 6:11:13 PM
 
Call Main()
Sub Main()
    Dim surface, arrValue
    Dim cols, rows, dept, spac
    surface = Rhino.GetObject("Select Surface", 8, True)
    If isnull(surface) Then Exit Sub
     
    arrValue = Rhino.PropertyListBox(array("Columns", "Rows", "TabHeight", "Spacing"), array(10, 10, 2, 2), "Surface Parameters", "Input Parameters")
    If isNull(arrValue) Then Exit Sub
     
    cols = CDbl(arrValue(0))
    rows = CDbl(arrValue(1))
    dept = CDbl(arrValue(2))
    spac = CDbl(arrValue(3))
     
    Call reparameterize(surface)
    Call Rhino.EnableRedraw(False)
     
    Dim triangles, cuts, tile, tabs,tri
    triangles = triangulate(surface, cols, rows)
    cuts = reOrient(triangles)
    tile = tileObjects(cuts, spac + dept)
    tri = drawTriangle(triangles)
     
    Dim i,j,k,r,s,t
    For i = 0 To ubound(triangles) Step 1
        r = 0
        s = 0
        For j = 0 To ubound(triangles(i)) Step 1
            If j Mod (2) Then
                s = s + 1
                t = i + 1
            Else
                r = r + 1
                t = i
            End If
            tabs = tabmaker(tile(i)(j)(0), dept, CStr(i &amp; "." &amp; "0." &amp; r))
            Call labelEdge(tri(i)(j)(0), CStr(i &amp; "." &amp; "0." &amp; r))
             
            tabs = tabmaker(tile(i)(j)(1), dept, CStr(i &amp; "." &amp; "1." &amp; s))
            Call labelEdge(tri(i)(j)(1), CStr(i &amp; "." &amp; "1." &amp; s))
             
            tabs = tabmaker(tile(i)(j)(2), dept, CStr("2." &amp; i &amp; "." &amp; r))
            Call labelEdge(tri(i)(j)(2), CStr("2." &amp; t &amp; "." &amp; r))
            Call Rhino.AddSrfPt(triangles(i)(j))
        Next
    Next
    Call Rhino.EnableRedraw(True)
     
End Sub
Function drawTriangle(arrPoints)
    drawTriangle = Null
    Dim i,j,k
    Dim curve(), arrOutput(),crv(2)
    ReDim curve(ubound(arrPoints(0))), arrOutput(ubound(arrPoints))
    For i = 0 To ubound(arrPoints) Step 1
        For j = 0 To ubound(arrPoints(i)) Step 1
            For k = 0 To 2 Step 1
                crv(k) = Rhino.AddLine(arrPoints(i)(j)(k), arrPoints(i)(j)(k + 1))
            Next
            curve(j) = crv
        Next
        arrOutput(i) = curve
    Next
     
    drawTriangle = arrOutput
End Function
Function reOrient(arrPoints)
    reOrient = Null
    Dim i,j,k
    Dim cPlane, wplane
    Dim curve(), arrOutput(),crv(2)
    ReDim curve(ubound(arrPoints(0))), arrOutput(ubound(arrPoints))
    For i = 0 To ubound(arrPoints) Step 1
        For j = 0 To ubound(arrPoints(i)) Step 1
            For k = 0 To 2 Step 1
                crv(k) = Rhino.AddLine(arrPoints(i)(j)(k), arrPoints(i)(j)(k + 1))
                Call Rhino.ObjectColor(crv(k), RGB(255, 0, 0))
                Call Rhino.OrientObject(crv(k), array(arrPoints(i)(j)(0), arrPoints(i)(j)(1), arrPoints(i)(j)(2)), array(array(0, 0, 0), array(1, 0, 0), array(0, 1, 0)))
            Next
            curve(j) = crv
        Next
        arrOutput(i) = curve
    Next
     
    reOrient = arrOutput
End Function
Function tabMaker(curve, depth, text)
    tabMaker = Null
    Dim arrOutput, pt(3), txt
    pt(0) = Rhino.CurveMidPoint(curve)
    pt(1) = Rhino.CurveStartPoint(curve)
    pt(2) = Rhino.CurveEndPoint(curve)
    pt(3) = Rhino.PointAdd(pt(0), Rhino.VectorRotate(Rhino.VectorScale(Rhino.VectorUnitize(Rhino.VectorCreate(pt(1), pt(2))), depth), 90, Rhino.WorldXYPlane()(3)))
    arrOutput = Rhino.AddPolyline(array(pt(1), pt(3), pt(2)))
    txt = Rhino.AddText(text, pt(0), depth * 0.3)
    Call Rhino.ObjectColor(txt, RGB(0, 255, 0))
    Call Rhino.OrientObject(txt, array(pt(0), array(pt(0)(0) + 1, pt(0)(1), pt(0)(2)), array(pt(0)(0), pt(0)(1) + 1, pt(0)(2))), array(pt(0), pt(1), pt(3)))
    tabMaker = arrOutput
End Function
Function labelEdge(curve, text)
    labelEdge = Null
    Dim arrOutput, pt
    pt = Rhino.CurveMidPoint(curve)
    arrOutput = Rhino.AddTextDot(text, pt)
    labelEdge = arrOutput
End Function
Function tileObjects(arrObjects, spacing)
    tileObjects = Null
    Dim arrOutput(), arrVal()
    ReDim arrOutput(ubound(arrObjects)), arrVal(ubound(arrObjects(0)))
    Dim i,j,r,s
    Dim bBox, xDis(), yDis(), maxVal
    ReDim xDis(ubound(arrObjects(0))),yDis(ubound(arrObjects(0)))
    r = 0
    For i = 0 To uBound(arrObjects) Step 1
        r = r + maxVal + spacing
        s = 0
        For j = 0 To uBound(arrObjects(i)) Step 1
            bBox = Rhino.BoundingBox(arrObjects(i)(j))
            xDis(j) = Rhino.Distance(bBox(0), bBox(1))
            yDis(j) = Rhino.Distance(bBox(0), bBox(3))
            If j > 0 Then
                s = s + yDis(j - 1) + spacing
            End If
            arrVal(j) = Rhino.MoveObjects(arrObjects(i)(j), array(0, 0, 0), array(r, s, 0))
        Next
        maxVal = Rhino.Max(xDis)
        arrOutput(i) = arrVal
    Next
     
    tileObjects = arrOutput
End Function
Function triangulate(surface, cols, rows)
    triangulate = Null
    Dim arrOutput(), arrVal(), tVal(3), iStep, jStep
    ReDim arrOutput(rows-1), arrVal(cols*2-1)
    Dim i,j,r
     
    iStep = Rhino.SurfaceDomain(surface, 0)(1) / rows
    jStep = Rhino.SurfaceDomain(surface, 1)(1) / cols
     
    For i = 0 To rows - 1 Step 1
        r = 0
        For j = 0 To cols - 1 Step 1
            tval(0) = Rhino.EvaluateSurface(surface, array(iStep * i, jStep * (j + 1)))
            tval(1) = Rhino.EvaluateSurface(surface, array(iStep * (i + 1), jStep * j))
            tval(2) = Rhino.EvaluateSurface(surface, array(iStep * i, jStep * j))
            tval(3) = tval(0)
             
            arrVal(r) = tval
             
            tval(0) = Rhino.EvaluateSurface(surface, array(iStep * (i + 1), jStep * j))
            tval(1) = Rhino.EvaluateSurface(surface, array(iStep * i, jStep * (j + 1)))
            tval(2) = Rhino.EvaluateSurface(surface, array(iStep * (i + 1), jStep * (j + 1)))
            tval(3) = tval(0)
            arrVal(r + 1) = tval
 
            r = r + 2
        Next
        arrOutput(i) = arrVal
    Next
     
    triangulate = arrOutput
End Function
Function reparameterize(strCurveID)
    If Rhino.IsCurve(strCurveID) = True Then
        Call rhino.SelectObject(strCurveID)
        Call rhino.Command("reparameterize 0 1")
        Call rhino.UnselectAllObjects()
    End If
    If Rhino.IsSurface(strCurveID) = True Then
        Call rhino.SelectObject(strCurveID)
        Call rhino.Command("reparameterize 0 1 0 1")
        Call rhino.UnselectAllObjects()
    End If
End Function
 


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