Testing different patterns with grasshopper.

Front side

Cathode rows soldered

Anode rows soldered

Ordered, but random
Random, but ordered

Recent explorations on fibrous structures

It’s been a while I’ve played with Grasshopper. It is getting to be more and more powerful. I think I will be exploring more in this world of Grasshopper + VB.NET and also IronPython included in the upcoming Rhino 5. This definition is super simple. It arrays / deforms a component that you define according to the two surfaces and their UV divisions.

In order to use the definition, first define a box, and some geometries within the box as your base component. Then, simply create two surfaces as references for organizing your components. Finally, control U/V divisions.

This is a rhinoscript where you can set various points where vectors flow out from according to a certain velocity. As these vectors travel, the flows are attracted to the various attractor points in different weights three dimensionally. It simulates a close logic to the emitted particles being attracted to newton forces in Maya.

—-

Option Explicit

‘Script written by Howard Jiho Kim / crtl-i.com

Call Main()

Sub Main()

Dim startPt, velocity

velocity = Array(10,0,0)

startPt = Rhino.GetObjects(“Select Start Points”,1)

‘Attractors / Distances

Dim no_attr, attr, attrStr, i

no_attr = Rhino.GetInteger(“How many attractors?”)

ReDim attr(no_attr-1), attrStr(no_attr-1)

For i=0 To no_attr-1

attr(i) = Rhino.GetObject(“Select Attractor ” & (i+1),1)

attrStr(i) = Rhino.GetReal(“Enter Strength for Attractor ” & (i+1))

Next

For i=0 To Ubound(startPt)

Flow velocity, startPt(i), no_attr, attr, attrStr, 35

Next

End Sub

Function Flow(velocity, startPt, no_attr, attr, attrStr, gens)

Dim vec1, vec0

vec1 = Rhino.VectorCreate(velocity, Array(0,0,0))

vec0 = Rhino.VectorCreate(Rhino.PointCoordinates(startPt), Array(0,0,0))

Dim totalDistance, distance, i

ReDim distance(no_attr-1)

Dim vec, finalVec, vec4, tagStop

tagStop = 0

ReDim vec(no_attr-1)

Dim newPt, newLine, endPt2

totalDistance=0

If gens>0 Then

For i=0 To no_attr-1

distance(i) = Rhino.Distance(Rhino.PointCoordinates(startPt), Rhino.PointCoordinates(attr(i)))

totalDistance = totalDistance + distance(i)

Rhino.Print distance(i)

Rhino.Print totalDistance

If distance(i) < 1 Then

gens = -1

End If

Next

‘Vectors

vec4 = vec1

For i=0 To no_attr-1

vec(i) = Rhino.VectorCreate(Rhino.PointCoordinates(attr(i)), Rhino.PointCoordinates(startPt))

vec(i) = Rhino.VectorUnitize(vec(i))

vec(i) = Rhino.VectorScale(vec(i), (attrStr(i)/distance(i))^2)

vec4 = Rhino.VectorAdd(vec4, vec(i))

Next

finalVec = Rhino.VectorUnitize(vec4)

finalVec = Rhino.VectorScale(finalVec, 1)

If tagStop = 0 Then

newPt = Rhino.AddPoint(finalVec)

newLine = Rhino.AddLine(Array(0,0,0), finalVec)

endPt2 = Rhino.MoveObject(newPt, vec0)

newLine = Rhino.MoveObject(newLine, vec0)

End If

Flow velocity, endPt2, no_attr, attr, attrStr, gens-1

End If

End Function

Some facade studies. All these patterns are made through a version of script that is very close to the 3D-pixelate code.

This is a script that pixelates point clouds into a user-defined 3-dimensional grid. It also arrays same size boxes to the pixelated points. If used wisely, it could become a good tool to rationalize a nurb surface into many small boxes.

It first pixelates the points into a wanted grid. Naturally, the geometry starts to lose its shape as the pixelating factor grows.

Then it populates the points with a box that you define.

—–

Option Explicit

‘Script written by Howard Jiho Kim / crtl-i.com

Sub Pixelate

Dim strObject, arrPoint, arrObjects, box_pt(7), box

arrObjects = Rhino.GetObjects(“Select points to pixelate”)

Dim multiplier_x, m1_x, m2_x, finalHeight_x, arrEnd(2)

multiplier_x = Rhino.GetReal(“Enter Pixelating Factor for X axis (0 for Non-Pixelation): “)

Dim multiplier_y, m1_y, m2_y, finalHeight_y

multiplier_y = Rhino.GetReal(“Enter Pixelating Factor for Y axis (0 for Non-Pixelation): “)

Dim multiplier_z, m1_z, m2_z, finalHeight_z

multiplier_z = Rhino.GetReal(“Enter Pixelating Factor for Z axis (0 for Non-Pixelation): “)

Dim box_yn

box_yn = Rhino.GetInteger(“Create boxes? (1-Yes, 2-No)”)

If box_yn = 1 Then

Dim box_x, box_y, box_z, box_mid_pt(2)

box_x = Rhino.GetReal(“Enter Box size-x: “)

box_y = Rhino.GetReal(“Enter Box size-y: “)

box_z = Rhino.GetReal(“Enter Box size-z: “)

box_pt(0) = Array(0,0,0)

box_pt(1) = Array(box_x,0,0)

box_pt(2) = Array(box_x,box_y,0)

box_pt(3) = Array(0,box_y,0)

box_pt(4) = Array(0,0,box_z)

box_pt(5) = Array(box_x,0,box_z)

box_pt(6) = Array(box_x,box_y,box_z)

box_pt(7) = Array(0,box_y,box_z)

box_mid_pt(0) = box_x/2

box_mid_pt(1) = box_y/2

box_mid_pt(2) = box_z/2

box = Rhino.AddBox(box_pt)

End If

If Not IsNull(arrObjects) Then

For Each strObject In arrObjects

arrPoint=Rhino.PointCoordinates(strObject)

Rhino.Print Rhino.Pt2Str(arrPoint, 3)

If multiplier_x > 0 Then

m1_x = arrPoint(0) / multiplier_x

m1_x = Rhino.Floor(m1_x)

m2_x = (arrPoint(0) – (m1_x*multiplier_x))*2

If m2_x > multiplier_x Then m1_x = m1_x+1

finalHeight_x = m1_x * multiplier_x

arrEnd(0) = finalHeight_x

ElseIf multiplier_x=0 Then

arrEnd(0) = arrPoint(0)

End If

If multiplier_y > 0 Then

m1_y = arrPoint(1) / multiplier_y

m1_y = Rhino.Floor(m1_y)

m2_y = (arrPoint(1) – (m1_y*multiplier_y))*2

If m2_y > multiplier_y Then m1_y = m1_y+1

finalHeight_y = m1_y * multiplier_y

arrEnd(1) = finalHeight_y

ElseIf multiplier_y=0 Then

arrEnd(1) = arrPoint(1)

End If

If multiplier_z > 0 Then

m1_z = arrPoint(2) / multiplier_z

m1_z = Rhino.Floor(m1_z)

m2_z = (arrPoint(2) – (m1_z*multiplier_z))*2

If m2_z > multiplier_z Then m1_z = m1_z+1

finalHeight_z = m1_z * multiplier_z

arrEnd(2) = finalHeight_z

ElseIf multiplier_z=0 Then

arrEnd(2) = arrPoint(2)

End If

Rhino.MoveObject strObject, arrPoint, arrEnd

If box_yn = 1 Then

Rhino.CopyObject box, box_mid_pt, arrEnd

End If

Next

If box_yn = 1 Then

Rhino.DeleteObject box

End If

End If

End Sub

Pixelate

I recently purchased a book which turned out to be one of the most amazing books I have ever come across: “A New Kind of Science” by Stephen Wolfram. The entire book is available online for viewing at: http://www.wolframscience.com/nksonline/toc.html

I have been reading a chapter on randomness, which is why I have been writing scripts that heavily depends on random number generator. These are the results of a growth algorithm that explores a territory that is somewhere in between being random and ordered. 

A new script that I have been writing based on a script found in: 
http://ncertainties3.wordpress.com/explicit-protocols/adam/181008_weldedwire/

The script diffuses any curve into smaller pieces of lines depending on a few parameters.

Merry Christmas, btw :)

 

Some tests: