This rhinoscript takes a series of points selected in sequence and creates a bezier curve using the geometric method of construction. Rendering both the final bezier curve as well as the construction lines used to produce this curve. These curves produce a beautiful spatial fabric in visualizing the geometric structure beneath. A more detailed/ animated reference of this method of construction can be found at Wikipedia

Rhino Script

Option Explicit 
'Script written by <David Mans> 
'Script copyrighted by <Neoarchaic Design> 
'Script version Tuesday, July 21, 2009 7:50:34 PM 
Call Main() 
Sub Main() 
	Dim arrPoints,intSamples 
	Do 
		arrPoints = Rhino.GetObjects("Select at Least 3 Points", 1,, True) 
		If isNull(arrPoints) Then Exit Sub 
		If uBound(arrPoints) > 1 Then 
			Exit Do 
		End If 
	Loop 
	intSamples = Rhino.GetReal("Samples", 10, 1) 
	If isNull(intSamples) Then Exit Sub 
	Dim i, arrPts(),arrOutput 
	ReDim arrPts(uBound(arrPoints)) 
	For i = 0 To uBound(arrPoints) Step 1 
		arrPts(i) = Rhino.PointCoordinates(arrPoints(i)) 
	Next 
	Call Rhino.EnableRedraw(False) 
	arrOutput = bezierConstructor(arrPts, intSamples) 
	Call Rhino.AddInterpCurve(arrOutput(0)) 
	Call Rhino.ObjectColor(arrOutput(1), RGB(255, 0, 0)) 
	Call Rhino.EnableRedraw(True) 
End Sub 
Function bezierConstructor(arrPts, intSamples) 
	bezierConstructor = Null 
	Dim i, j, k, r, s, t 
	Dim arrOutput(), arrOutputs(), arrStore, arrTemp, arrLines(),arrSet() 
	r = 0 
	k = 1 
	ReDim arrOutput(0),arrOutputs(0) 
	arrOutput(0) = arrPts(0) 
	For i = 1 To uBound(arrPts) Step 1 
		ReDim Preserve arrLines(r),arrOutputs(r) 
		arrLines(r) = Rhino.AddLine(arrPts(i - 1), arrPts(i)) 
		arrOutputs(r) = arrLines(r) 
		r = r + 1 
	Next 
	t = r 
	arrStore = arrLines 
	For i = 1 To intSamples - 1 Step 1 
		r = 0 
		s = 0 
		arrTemp = arrStore 
		Do 
			If r = 1 Then 
				ReDim Preserve arrOutput(k) 
				arrOutput(k) = curveParameter(arrTemp(0), i * (1 / intSamples)) 
				k = k + 1 
				Exit Do 
			End If 
			r = 0 
			ReDim Preserve arrSet(s) 
			arrSet(s) = arrTemp 
			ReDim arrLines(0) 
			For j = 1 To ubound(arrSet(s)) Step 1 
				ReDim Preserve arrLines(r), arrOutputs(t) 
				arrLines(r) = Rhino.AddLine(curveParameter(arrSet(s)(j - 1), i * (1 / intSamples)), curveParameter(arrSet(s)(j), i * (1 / intSamples))) 
				arrOutputs(t) = arrLines(r) 
				t = t + 1 
				r = r + 1 
			Next 
			arrTemp = arrLines 
			s = s + 1 
		Loop 
	Next 
	ReDim Preserve arrOutput(k) 
	arrOutput(k) = arrPts(uBound(arrPts)) 
	bezierConstructor = array(arrOutput, arrOutputs) 
End Function 
Function curveParameter(strCurve, dblParameter) 
	curveParameter = Null 
	Dim cDom,arrPoint 
	cDom = Rhino.CurveDomain(strCurve) 
	arrPoint = Rhino.EvaluateCurve(strCurve, cDom(0) + dblParameter * (cDom(1) - cDom(0))) 
	curveParameter = arrPoint 
End Function