Developable dome

An origami dome using a generalization of one of Ron Resch's folding patterns. Inspired by the work of Tomohiro Tachi (http://www.tsg.ne.jp/TT/cg/). An approximate solution is generated geometrically, then the 'developablize' force in Kangaroo is used to optimize it so that angles around each vertex sum to 360° (which they do to within 0.00003°)

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Comment by seied on May 6, 2014 at 3:58am: Ok here is my definition. Keep in mind it is just the basic Resch pattern not the Dome. I used Daniel's simple origami definition to create this.

https://www.dropbox.com/s/5maw7r3cuwi7y7h/ronresch.3dm

https://www.dropbox.com/s/qjbpq38llpyc36c/Origami_simplified_ronres...

Comment by taz on May 5, 2014 at 3:12pm: The linework at the surface edges needs to be post-processed to origami standard peak (solid) and valley (dashed) notation. I hung up my origami career after I made a shirt out of a US dollar bill. Go out on top, I say...

Comment by Daniel Piker on May 5, 2014 at 12:29pm: I've not actually tried folding this in real life yet. If anyone wants to have a go (it would take some patience!), here is the 3d model and flat crease pattern: generalized_resch.3dm