Ornamental Structures - Iterative Subdivision

Dear All,

I am working on digital ornaments and since I am not too experienced with grasshopper I would like to ask you guys for help.

I want to create 3D ornamental structures based on basic geometries. Like Michael Hansmeyer I want to divide the basic geometry again and again using an algorithm.

I started out in 2D to understand the basic principles. Using a Rectangle as basis I came up with this grasshopper definition:

2D Subdivision

I think it shows the main idea, however I cannot manage to make multiple iterations like this:

After some research I have the impression that grasshopper by itself is not capable of what i want to do and that i need some scripting. Is that true?

The final product should be a definition that takes a basic 3D geometry, subdivides it in multiple iterations, and has the ability to manipulate the geometry’s points for each iteration, to create an ornamental shape from a cube like this:

I would really appreciate any help or suggestions,

thanks a lot!

José

Replies to This Discussion

Permalink Reply by Joseph Oster on January 10, 2016 at 9:40pm

Attachments:

2DSubdivision_2016_Jan10e.gh, 26 KB

Permalink Reply by Joseph Oster on January 10, 2016 at 5:33pm

Well, I looked but I still don't understand Hoopsnake. Your result looks recursive but honestly, Hoopsnake is too mysterious for me to want to figure it out.

Permalink Reply by Joseph Oster on January 11, 2016 at 10:39am

Here is some 3D dawdling, after the other loop finished, though the two can probably be integrated into a single loop. This uses a list of relative 'rel height' Z-offset values for concentric rings of the mirrored surfaces, moving the inner ring up or down before lofting with the outer ring.

Attachments: