Bracelet design generated through Rhino Scripting. First of all, the Pickover Strange Attractor is scripted. For more information on Pickover Attractors, you can check http://www.chaoscope.org/ .

Then, each point in the Pickover Attractor point cloud is evaluated. The nearest 7 points to each point is found and connected to the input point.

Thanks a lot to Seda Zirek for her help in the point connection code.

(http://mel-examples.blogspot.com/)

Pickover Strange Attractor code

Option Explicit

‘Script written by Elif Erdine

Call Pickover()

Sub Pickover()

Dim i

Dim x()

Dim y()

Dim z()

Dim pt()

Dim maxpoints

maxpoints = 20000

Dim A, B, C, D

A= -0.759494

B= 2.449367

C= 1.253165

D= 1.5

ReDim Preserve x(maxpoints)

ReDim Preserve y(maxpoints)

ReDim Preserve z(maxpoints)

x(i) = 0

y(i) = 0

z(i) = 0

i=0

Do While (i < maxpoints)

x(i+1) = Sin(A * y(i)) – z(i) * Cos(B * x(i))

y(i+1) = z(i) * Sin(C * x(i)) – Cos(D * y(i))

z(i+1) = Sin(x(i))

ReDim Preserve pt(i)

pt(i) = Array(x(i), y(i), z(i))

If IsArray(pt(i)) Then

Call Rhino.AddPoint(pt(i))

‘ Dim plane

‘ plane = Rhino.PlaneFromNormal(pt(i), Array(0,0,1))

‘ Call Rhino.AddCircle(plane, 0.2)

End If

i = i+1

Loop

End Sub

Point Connection code

Call ConnectPoints()

Sub ConnectPoints()

Dim ptcloud, ptall

ptcloud = Rhino.GetObject(”input pointcloud”, 2, True, True)

If IsNull(ptcloud) Then Exit Sub

ptall = Rhino.PointCloudPoints(ptcloud)

If IsNull(ptall) Then Exit Sub

Dim i

Dim ptnearest

For i=0 To UBound(ptall)

Dim arrPtall : arrPtall = functNearestNeighbor(ptall, i)

Dim strLine1 : strLine1 = Rhino.AddLine(ptall(i), arrPtall(0))

Dim strLine2 : strLine2 = Rhino.AddLine(ptall(i), arrPtall(1))

Dim strLine3 : strLine3 = Rhino.AddLine(ptall(i), arrPtall(2))

Dim strLine4 : strLine4 = Rhino.AddLine(ptall(i), arrPtall(3))

Dim strLine5 : strLine5 = Rhino.AddLine(ptall(i), arrPtall(4))

Dim strLine6 : strLine6 = Rhino.AddLine(ptall(i), arrPtall(5))

Dim strLine7 : strLine7 = Rhino.AddLine(ptall(i), arrPtall(6))

i=i+1

Next

End Sub