1130: Villeneuve Ornithopter v1.2

When I first read Frank Herbert’s “Dune” series of books, it was the mid 70’s and I was a teenager. The expansive universe captured my imagination like little else.

Dune Part 2 has just been released in cinemas, and the Denis Villeneuve adaptation is visually stunning. On planet Arrakis (Dune), a chosen method of air travel is the “Ornithopter”, described as an insect-like flapping machine.

’Thopters in the current movie series are astonishing, if illogical from an engineering perspective. Variously, ‘Thopters have 2 to 12 wings, each move independently in a coordinated buzz to provide controlled lift and thrust.

The origami world has a few simple ‘thopter designs, most modelled on the 80’s David Lynch film adaptation, so I thought I would have a go at designing one from scratch. Initially I thought to harness an existing base, but decided I wanted 12 wings, in groups of 3, and wanted landing gear, some paper for a fuselage and various flaps for some simple detailing.

There are many design methodologies I could have employed. Circle packing (each circle centre representing the vertex of a stickey outer bit), 22.5 folding to facilitate the point-splitting needed for so many separate flaps, but settled on box pleating.

First I sketched out a rough crease pattern (CP). 12 points along opposite edges of a square. The downside of this arrangement was the points ended up tiny – way too small for the wings. Rearranging them symmetrically allowed me to include extra flaps for landing gear, cockpit and more. Designing the collapse along a 2 unit strip of the central axis also gave me the bulk for the fuselage. I calculated I could achieve this with a 48 grid.

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1128: Origami Computer

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.

I link to a copy of the paper here: FLAT ORIGAMI IS TURING COMPLETE

Barnaby Blockhead

Everyone called Charlie Brown “Blockhead”, a past Deputy Prime Minister continually is caught acting like one, so I began wondering what that would might like:

I had recently folded Boice Wong‘s astonishing pair of figures called “Emptyhead” (I named them Dumb and Dumber), so started there, and re-familiarised myself with the crease pattern, devising a smoother collapse (as I adopted the much criticised method of “parachuting” the last time).

I briefly toyed with the idea of posing him like Neo during Matrix’s groundbreaking “bullet time” scene, but decided to go simpler because he would be a … simple … soul.

The tricky bit was to use minimal paper for a neck, leaving enough of a pleat tube to sculpt a 2×2 solid cube, and explored that geometry a bit before settling on a scheme.

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1123: Anubis

I have always been fascinated by Egyptian symbology, myths and ancient artforms. The very pictorial style is angular, stylised, often animal-based and very interesting. Anubis is the god of funerary rites, protector of graves, and guide to the underworld, in ancient Egyptian religion, usually depicted as a canine or a man with a canine head:

I am currently watching STARGATE, a few episodes at a time with my son. I began watching it back in the days of free-to-air broadcasting but, for whatever reason I stopped (prolly because I had a life and no longer had time/access to episodes). The series premise is interesting, and I particularly love their hijacking of Egyptian gods/mythos as the “baddies”, as well as the whole aesthetic.

I wish I could remember where I first found this Crease pattern (CP). It has been in my “must try this, sometime” pile for a couple of years and I finally got around to it when looking for something to fold with my second bit of treated Wenzhou rice paper (not made of rice, is a fine and resilient mulberry). I also wish I knew the designer – can anyone help me out here as I would love to give proper attribution?

The CP seemed pretty straight forward – indeed the collapse was quite natural (I did not do my usual “parachuting” as I tried to collapse key details in the order that seemed most logical), and resulted in a base with a myriad of stickey-outey parts in more or less correct locations. I am so pleased with my developing CP solving skills – a loooooong way to go, but every success encourages me further.

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1117: Mod on a Moped

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.

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