Scrolling through this year’s JOISEL AWARD entrants, I noticed a lovely little Rocketship designed and folded by Zhu Yandan, from China – it was released with a crease pattern (CP) so I thought it worth a try.
I used a technique called “Ghost Creasing”, where ONLY the needed creases are transferred via careful embossing using a stylus. This eliminates the excess grid creases, making the fold cleaner.
For a system to be considered “Turing Complete”, it must be able to be used for completing any computational problem. In the world of DIGITAL Turing Complete setups, these computations are achieved using simpler binary operations (like NOT, AND, OR, NOR, etc.).
In a paper recently released by Mathematicians Thomas C. Hull and Inna Zakharevich, they propose flat-foldable crease patterns for origami “processors” that simulate a number of simple binary operations (namely NAND, NOR, AND, OR, NOT and a few ancillary operations) making the theoretical proposition that flat foldable origami is Turing Complete.
I folded a few of the paper’s logic gates, and made a video of how they work – have a look:
Although this is a little nerdy, I can at least conceptualise the idea that a network of interconnected origami processors could, theoretically, actually do something useful. Technical challenges exist with having such crease patterns co-exist on the same sheet, in sufficient quantities to represent anything other than single bits (0/1 or On/Off or True/False), but the idea is none the less tantalising.
When you talk of “box pleating”, the young kids in the origami design sphere seem to think they invented it. I was fishing around on the web, for origami-related things as you do, and stumbled across an astonishing scanned page from Neal Elias’ notebook from 1968 that features box pleating:
This is Neal’s “Boy on a motor scooter” – an amazing proto-design from 1968!!!!! (this is all there is, you have to fill in the gaps – it was his personal notebook, the diagrams were all HE needed to fold the model) but what an historical gem of a design. It is doubly interesting because it was designed 3 years before I began my journey in origami as a wide-eyed, clueless 11 year old.
Further research suggests this page was “ripped” from a BOS Publication Booklet 35 (still in print?) called “Neal Elias Miscellaneous Folds – II “, edited by Dave Venables. I have purchased the previous Neal Elias volume but was unaware this treasure exists – it has prototypes of some very famous and completely revolutionary designs indeed (like “The Last Waltz”).
Back in the “early” days of western origami, Elias was a pioneer, realising that by gridding a sheet of paper, then using gridlines and 45 degree connectors you could pleat astonishingly complex structures that could then be shaped into complex figurative models. As a kid, the few models I had access to from him were like crack to me. I mastered the “Elias stretch” (these days I think they call it a ‘pythagorean stretch’) and “Elias base”, making skiers and knights in armor, all from squares.
Many of his designs use odd shaped paper – this model uses an 8×22 grid, and the colour change base is particularly wonderful, leaving all the bits of a person in one colour and a lovely long pleat bundle of alternate colour emerging from him. I can see so much potential of all sorts of things here.
I have recently completed the mammoth 50hr+ live fold-along festival called The Origami World Marathon. I folded as many as I could physically attend, and it is a super rare privilege to be actually taught by such world class designers.
I managed about 14 models live, slept some and can complete those missed because, as part of the purchased ticket I gain access to video tutorials from the designers for the next year – win, win.
Although (technically) a re-fold, the last time I attempted to fold this I had a partial crease pattern and a broken incomplete set of instructions in Russian, and just muddled along. I am not sure the resultant model even looked like Wall-E, but I was happy to sort of nut out a scheme for making his tracks.
I went big – 90cm square – seems excessive …but … I have another exhibition pending and thought this might make a good display piece if it ended up tidy enough.
The diagrams clarify the construction of the pleats necessary to form the main body, and how they cleanly articulate to make the beautifully treaded tracks, and also simplified what I had in my previous attempt mangled together to form the eyes.