optimize mesh - faces identical - fabrication

hello,

i have this mesh. i would like to make all the mesh faces exactly equal. its not a problem if the form changes a bit in order to optimize the one component condition.

I tried face equalization with kangaroo. I tried to define the naked vertices as the anchor points. the thing is that in the end the mesh faces werent similar.

I thought that maybe "remeshing" or something like that could be useful. I mean in order to fuse some faces into less faces, because when kangaroo tried to keep all the faces then it didnt give the correct result.

So I am not sure if kangaroo's equalization helps me in the correct way so that the faces are identical in order to pass it later to the cnc and build it.

(when i solve this problem im thinking to find a way to instead of having 1 component maybe i could have 3 sizes. some bigger to be stronger and some smaller.)

thank you in advance,

etsim

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Permalink Reply by etsim on June 8, 2014 at 6:16am

I tried the remesh component from kangaroo. I recognize two problems here: on the one hand the edges are never equal equal. I feed the length of the resulting mesh edges into a panel and it shows me they are never equal equal.

And secondly if i want to build this thing, its not only important to have the edges equal, so that i build a structure with equal trusses, but to have also the faces equal and identical so that the filling of the structure is also one component.

So i come back to the question how can i make the form consist only from one component.

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Permalink Reply by Daniel Piker on June 8, 2014 at 7:13am

Hi Etsim,

Have a look at some of these threads addressing similar issues:

http://www.grasshopper3d.com/group/kangaroo/forum/topics/fixed-leng...

http://www.grasshopper3d.com/forum/topics/triangular-mesh-with-edge...

http://www.grasshopper3d.com/forum/topics/triangulation-using-only-...

http://www.grasshopper3d.com/forum/topics/folded-plane-subdivided-i...

Permalink Reply by etsim on June 16, 2014 at 9:51am

thanks daniel.

i still can't seem to be finding the way to create a modular way of construction. That means that the triangles are equilateral AND that the nodes contain angles of a small variety so that when i construct the nodes i will a sphere with holes like a joint in which i will "screw" the edges of the triangles.

something like this lets say http://fbsoft.gr/TSDAsserts/DrillingSphere.jpg

, and so i will create only like 5 or 6 different sphere types.

Permalink Reply by martyn hogg on June 16, 2014 at 10:52am

If you look at this problem another way and accept that the node geometry and the strut lengths will be different then you would need a way of easily manufacturing a flexible node system, varying strut lengths and panels, and a system for identifying where each strut and panel will go (so as to avoid building the world's worst / hardest 3d puzzle)

If you look at how people have overcome this for simple surfaces such as domes, the nodes are often either crude or ugly and there are only 3 different nodes, 3 different strut lengths and 2 panels (for a 3rd order geodesic).

If you do what you are proposing for a geodesic dome, you get half an icosohedron (20 sided shape made up of equilateral triangles) and it then seems impossible to approximate complex surfaces with only equilateral triangles (I might be wrong)

If you could determine the geometry for each node and had a very big budget, you could 3d print each unique node and identify it. You can certainly, easily identify and cut varying length struts, and you can do the same with panels unless you wanted to stamp them (i.e. waterjet cut or CNC router to cut a nest of the panels.) It would still be quite a mission to assemble all this though!

I had the same problem that you have when I wanted to build a geodesic dome... I thought I could just print the nodes, cut all the struts and panels the same and start assembling... then I realised I could only do that for an icosohedron.

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