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Figuring out how to fold polypolyhedra
Posted: March 22nd, 2008, 9:35 pm
by apoplectic
I was just poking around the internet and i found this:
http://www.langorigami.com/science/poly ... part_3.pdf
and I was wondering how to figure out how to make units for the ones he doesnt show how to do.Any help would be great.
Posted: March 23rd, 2008, 11:46 am
by jvn41
Posted: March 23rd, 2008, 10:34 pm
by origamimasterjared
The Origami USA 2000 Annual Collection has the diagrams for three of Robert Lang's polypolyhedra, Gasherbrum, Annapurna, and K-2. Also, I think it was Michael Naughton who did one of six intersecting squares. And of course there's the most famous of all, Tom Hull's FIT (five intersectng tetrahedra), whose diagrams are online.
Posted: March 24th, 2008, 3:07 pm
by apoplectic
I know how to fold all of those all ready. I'm just trying to figure out the other polypolyhedra possibilities that lang presented in that document i posted.he shows the side length ratios and angles that the struts need to be, I'm just trying to figure out how to fold them.
Posted: March 25th, 2008, 3:12 am
by Jonnycakes
Well, with the numbers he gives and a little math of your own, it should be possible to design your own units. The folding and designing should be fairly simple, as all you need are references since the locking method has already been developed. For the references, you could always download Referencefinder from Lang's site-it is a great tool.
Posted: March 25th, 2008, 2:53 pm
by apoplectic
Alright thanks man.
Posted: March 25th, 2008, 6:19 pm
by aesthetistician
In a fairly odd coincidence, I happened upon a unit which works pretty well for polypolyhedra just as everyone seems to be getting into them (although it took me a while to figure out that it could be used for them; I thought it was just another modular edge unit at first). It's good mostly because it can be any length and works for solids with any number of edges and any order vertices. I think that's the case, anyway - I haven't tested every possible combination yet, but I can't see why it wouldn't work. I can post diagrams and/or pictures when my internet connection is less terrible if anyone is interested.
EDIT: I feel kind of silly, but the method is an awful lot like what's done here:
http://www.mat.unb.br/~lucero/origami/SIS.pdf. Except that it doesn't look as pretty, and is more flexible. And I honestly hadn't seen it when I came up with my version, if anyone will believe that.

Re: Figuring out how to fold polypolyhedra
Posted: May 17th, 2012, 6:09 pm
by Harpseal
I really want to make stuff like this. Any tips on creating or inventing things similar to those mentioned?
Thanks in advance.