For me sometimes it is more difficult speak or write about my work that write the code in the editor. This images represent my eagerness that I had to translate this textile pattern, in to the code. so this is it.

Thi first step was to find the correct data store to find the points. then I put all this points inside of an array and then create the curve. and for the other curves I did the same, searching the even and odd of every point.

I know there are a lot kind of patterns in the textile insdustri, and also my Grandmother know how to create with the crochet technics differents patterns, some of them with very complex estructures. If we thought that an algortihm is and a mathematic or aritmetic rule that is repeated, (Cecil Balmond, Informal, page 112), we will see that my grandmother and all the people who elaborate knitted fabric are actually programming an Algortihm.

Images from recursion in 3D.

These images represent the process of my recursion work that started few weeks ago, with the post recursion, I will continue working in this kind of programming, and exploring differents types of recursion. there are a lot information of recursion in the web. and also example codes in differents languages like C++, C#, Java, Rvb, etc. etc.

In relation with the architecture you can see the web page of Marc Fornes, he explore the process of recursion in deep, you can find very cool information about this kind of programming, and other interesting data type. THE VERY MANY also is reference of my work and reference of many other architects who explore the new technologies.

Here are the new configurations of the same base script that I posted few weeks ago, this time I create more points to get subdivisions, and also and hexagon , participate with the recursion process.

Simple rules configurate comples and beatifull Images. When you try to create complex results under complicate formules you have to be sure that your results will crash, and also the results will be not good enough. the result of the Complex Beauty appears after many iterations, and depend extreamly of your code and how many iterations you want.

En continuant à travailler sur le “script” original, j’ai calculé le barycentre, cette fois, pour créer un vecteur perpenducilaire au plan formé par les trois points de chaque nouveau triangle. Le résultat est un autre point, lequel a été intégré dans la fonction y ainsi créer de nouveaux diagrammes.

Le modèle ci-dessous représente une série d’expériences avec différentes configurations de la fonction.

I was Working couple weeks ago in a simple script to produce a recursion, I try drawing 3 points and then subdivided every segment for the mid point to find the another triangle inside of the original, the script appear in several minutes, Ididn`t think too much, I just typed very fast.

I learned recursion using C++, but I never used In Rvb, so this is my first experiments in recursion in Rvb. and this time I add The source of the original code, add comments, modify it, share, make differents Calls and send me Images.

Best.

Option Explicit
‘Script written by Carlos de la Barrera’

Call Main()
Sub Main()
Dim pt1, pt2, pt3, trip

pt1 = Rhino.GetPoint(”sel fisrt point”)
If IsNull (pt1) Then Exit Sub

pt2 = Rhino.GetPoint(”sel second point”)
If IsNull (pt2) Then Exit Sub

pt3 = Rhino.GetPoint(”sel third point”)
If IsNull (pt3) Then Exit Sub

trip = Rhino.AddPolyline(Array(pt1, pt2, pt3, pt1))

Call myFractal(trip, pt1, pt2, pt3)
End Sub

Function myFractal(trip, Opt1, Opt2, Opt3)
Dim pt1, pt2, pt3

pt1 = myMidFunction(Opt1, Opt2)
pt2 = myMidFunction(Opt2, Opt3)
pt3 = myMidFunction(Opt3, Opt1)

trip = Rhino.AddPolyline(Array(pt1, pt2, pt3, pt1))

If Rhino.Distance(pt1, pt2) > 0.01 Then
Call myFractal(trip, pt1, pt2, pt3)

Else
Exit Function

End If
End Function

Function myMidFunction(P1, P2)

Dim MidP
MidP = Array((P1(0) + P2(0)) / 2, (P1(1) + P2(1)) / 2, (P1(2) + P2(2)) / 2)

myMidFunction = MidP

End Function