Reciprocal Systems

Replies to This Discussion

Permalink Reply by yj on August 10, 2012 at 5:45pm

Hello,

thought I can introduce a university project done on this topic in Kassel, germany. http://www.rhinoscript.org/gallery/31

Best,

youngjae

Permalink Reply by Michael Clarke on October 1, 2012 at 8:38pm

Hi everyone,

Some really interesting stuff on this discussion. I am looking into reciprocal frames myself for a University project. In particular I am looking at Nexorades and exploring the rotational element from standard meshes to reciprocal frames. To achieve this each member is rotated along an axis normal to the surface. When this is done each member will be too short to reach its neighbours. I am having real trouble working out the final length of each member to ensure an overlap (the fact they don't touch is not yet relevant, I will solve that in future explorations). Essentially, the smaller pipes in the image below need to overlap by a fixed amount for whatever rotation of each member.

I have attached my file so far. I have tried tangential planes with intersection events, closest point calculations etc. but I keep coming back in circles. I am still fairly new to a lot of the software so apologies if I am missing something obvious. The definition does use a weaverbird 'polylines dodecahedron' and 'mesh edges' as a starting point for now and a kangaroo 'remove duplicate points'.

Thanks for any help anyone can give me and I look forward to seeing what everyone else is up to,

Michael

Attachments:

• Nexorades.gh, 9 KB

Permalink Reply by Michael Clarke on October 2, 2012 at 7:52am

To clarify please see the notes scribbled in the latest definition

Attachments:

• Nexorades.gh, 17 KB

Permalink Reply by Arie-Willem de Jongh on October 26, 2012 at 8:48am

My file and approach:

Attachments:

• 2012_Reciprocal_pattern.gh, 41 KB

Permalink Reply by Maurizio Barberio on February 7, 2013 at 4:26am

Really Great work! is it possible to adapt your work on a Exagonal based subdivision like this?

Permalink Reply by Jerrimo on February 13, 2013 at 1:06pm

Wow!!! I haven't bin here for a long time. Thank you so much for all these great inspirations to deal with this problem.

It seams to me, as Daniel said, it is really hard to get all the members straight and matching each other. I am trying hard to solve this problem, but I am not sure if this is possible just with grasshopper tools.

I will post it, if I get some thing.

Permalink Reply by Jerrimo on August 5, 2013 at 1:26pm

Hello to all who are still interested in reciprocal frame systems.
I found by accident this Video: http://www.youtube.com/watch?feature=player_embedded&v=5lNQgoGB9-Q
It looks amazing!!

Permalink Reply by Michael Clarke on August 5, 2013 at 1:44pm

Really cool video, thanks for posting this. It seems they have solved the intersection points which everyone, myself included, seems to have struggled with in grasshopper to avoid overlapping or missing joints (what they call optimisation in the video)

I never posted where my explorations in grasshopper with reciprocal frames ended up going thanks to the help everyone provided on this thread. I am still working on it and will post some definitions and images when i have fixed a few bugs but if anyone is interested, the early development work can be found here:

http://michaeljclarke.wordpress.com/2013/06/17/wikivault/

And some images of later models can be found here (descriptions and development work to be posted at a later date):

http://michaeljclarke.wordpress.com/architecture/march-riba-part-ii/

Permalink Reply by Jacek Jaskólski on August 5, 2013 at 2:19pm

great find Jerrimo,

Thanks!

Permalink Reply by Jerrimo on August 5, 2013 at 2:33pm

here is also the paper to this research:

https://dl.dropboxusercontent.com/u/9950874/ShareDocument/2013-SIGG...

Permalink Reply by Michael Clarke on August 5, 2013 at 2:38pm

Brilliant, thanks very much Jerrimo for posting this

Permalink Reply by Daniel Piker on August 5, 2013 at 2:57pm

Hi all,

In June we built this structure as part of the Structural Geometry workshop in Salerno run by Gennaro Senatore and myself:

Using techniques I hinted at earlier in this thread, with the line-line force in Kangaroo and Plankton for the mesh connectivity.

The approach is a bit different from the paper linked to above - instead of mapping a 2D pattern to a parametrization of the surface, we used the mesh connectivity directly - so it can handle arbitrary topologies and irregular vertices (the technique in the paper appears to be limited to genus 0, with a special symmetrical extension for spheres).

I'll post more info and pictures soon. Grazie to all the wonderful participants!

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