Crease Pattern

1159: Polly Verity Corrugation

| wonko

Polly Verity is a paper artist I have watched since she came on Instagram (@polyscene)

She has a singular style and a seemingly superhuman touch when it comes to teasing character from paper – her paper silhouettes are like nothing else.

Polly is drawn to the geometry of plain paper, expertly capturing the light and shade that corrugated paper naturally causes.

Today she posted a corrugation that LOOKS curved, but as I bathed in it’s posted beauty, I recognized it had to be a much simpler underlying box-pleated crease pattern, and I knew that I HAD to try it.

Peeling off a 2:1 rectangle from my 90cm Kraft roll (90x45cm resultant sheet), I lay in a longitudinal axis gutter (valley), then added a deeeeep zigzag. This afforded the laying in of standard box-pleat fill-in creases that I then alternated mountain/valley to make the sheet one giant accordion pleat that folds up and on itself (resulting is a stored size that is tiny – 23x2cm).

The joy of this corrugation is that when it opens up, curves emerge from the straight lines – like by magic.

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1144: Gilmore Davidson’s Platypus

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It is a well known fact that Australians MADE up the illogical collection of animal parts we then called a Platypus:

Ducks bill, fur, poisonous spines, webbed feet, lays eggs, feeds young milk, lives under water … LOL … then only people silly enough to believe this are tourists, right?

One of many benefits of networking at an origami conference is that you get to mix in the real world with talented designers – if you are lucky they share their designs with you.

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1142: Daniel Brown’s Seamless Chessboards

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Having folded Steven Casey’s 8×8 40 grid seamless chessboard and singularly failing to fold Marc Kirschembaum’s 40 grid because of crease-creep inaccuracies, I was approached by Daniel Brown and asked if I was interested in his chessboards – naturally I jumped at the chance. “Seamless” chessboards are deliciously more complicated because it required each square to be represented by an un-broken surface (as opposed to being able to be comprised of bits and pieces of layers – a much easier path):

A "clusterfuck" of seamless chessboards
A “clusterfuck” of seamless chessboards

I say CHESSBOARDS because Daniel has developed a series of coloured/white alternate seamless models of LOTS of sizes, and the skills necessary to migrate edge paper towards the centre to effect colour changes is a thing that needs some work and, often, particular “widgets” (or self-contained localised fold structures).

I started with the 4×4, rather efficiently designed on a 9×9 grid ( 0.444 efficiency). I had a piece of blue-white kami, so gave it a whirl. Even dimensions require different approaches for adjacent corners as they are different colours – the same colour corner exists on the diagonal.

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Future Folds: Panel discussion and Exhibition

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Coupled to 8OSME, RMIT Design Hub is currently hosting an exhibition of important origami works called “Future Folds”. The opening event featured a panel discussion with Tomoko Fuse and Robert J Lang.

Panel discussions can be wonderful if the alchemy is right – the right combination of guests and questions. I am not sure we got a stellar set of questions posed, but it was encouraging to hear the guests speak of their obvious love of origami, and interesting to hear about their differing approaches to the artform.

We then proceeded to the gallery space to view a number of precious “holy grail” origami objects. Presented as the centerpiece was a large scale installation of Tomoko Fuse’s “OROCHI” (or large snake) – beautiful organic tube sculptures that seemed to have a life of their own.

Around the walls of the gallery were astonishing things, many of which I have only ever seen in documentaries and books – Tomohiro Tachi’s “Rabbit” for example. This was posited proof that using “Origamiser”, you can construct a crease pattern to replicate ANY 3d object using folds only. An amazing demonstration that would have been a nightmare to actually fold, but entirely possible to do so.

We saw some lovely examples of Jun Mitani’s curved fold works (some I have the CP of but have never successfully folded) and some original tree-maker inspired circle-packed designs for bugs and lobster from Robert Lang.

Present also were some lovely spiral forms and tessellations by Tomoko Fuse and an assortment of other precious folded things.

It is rare for such works to make it to Australia, and I was so glad to have been able to see them.

1138: The Power of Many

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I love the geometric world of Tessellations, and have folded many. It is doubly satisfying when you design that tessellation molecule and how it tiles yourself.

This is a hex-point tessellation, and is based on a mathematical algorithm discovered by Aurélien Vermont ( @auregamiiii ) and described in a paper written by them as part of their study in Engineering. The algorithm describes a geometric construction method that lest you raise a n-finned spike from a flat surface and have the surface “heal” around it.

It does so by placing strategic dart pleats that seamlessly absorb the excess paper caused by the spike in a controlled and very flexible way. You can raise a spike at the intersection of a collection of creases (2 or more intersections). The folding gets progressively more fiddly the smaller the spike and the larger the number of intersecting lines.

I chose to derive a hex-spike, that is a 6-crease intersection spike molecule, based on a regular hexagon. Once I had derived all the creases necessary to allow one spike to be raised, I test folded it (just to check – theory and practice are sometimes at odds – some paper designs for origami seem to ignore the thickness of the paper which then breaks the symmetry or distorts the shape) and all was good.

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1137: Crane in a Box

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Cruising the channels on Origami Dan, I found a CP for a fold challenge I had missed, but decided to give it a whirl anyways:

Designed by Scott Okamura, this seemingly impossible fold featured a traditional Tsuru (crane) folded in the middle of a large page of duo paper – the surrounding paper is then formed into a box.

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1131: The Work of Fynn Jackson

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A long while ago, a new artist on the scene, Fynn Jackson, started releasing astonishing mask crease patterns on social media.

He later commercially released his designs and I purchased his crease pattern packs for masks 1-35, along with the more recently released noses 1-9.

I love Fynn’s work, and eventually will develop my own CPs of faces. There is so much expression in the score and fold bundle, so decided to expand my collection and try out a bundle of manilla card in the process. I contacted @Jacksonorigami and asked him about selling finished masks – he (to my surprise and delight) freely encourages folders to monetise their rendering of his designs, so long as we do not share the purchased CPs (so please DO NOT ASK) …. so I got to thinking about an upcoming Gallery shoppe associated with my papermaker friends PAQ – put 1 and 1 together and arrived at 6.

I set about folding 6 faces I had not tried before from Fynn’s rich collection of characters, each using different aspect ratios, techniques and all quite wonderful. I was encouraged (by some of the wonderful ladies in PAQ – I am looking at you Ann and Wendy!) to consider selling, and began thinking about displays that would make them work as purchaseables.

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1130: Villeneuve Ornithopter v1.2

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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

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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

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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

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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

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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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1110: Origami World Marathon 4

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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.

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1105: En Garde

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It is a wonderful thing when designers share their processes, crease patterns and diagrams. Boice Wong is one that readily shares the CPs of his amazing designs, and when I saw “Sword and Shield V2”, I knew I had to give it a go:

Although I have been folding for decades, most of what i have folded has been from DIAGRAMS (step by step folding guides). By far the MAJORITY of origami out there does not exist as diagrams, but a larger proportion exist as CPs (crease patterns). I have been, over the last few years, working on my crease pattern solving skills.

This model is based on Boice’s 24 grid CP, and the collapse is relatively straight forward. Sometimes CPs give you crease orientations (red=mountain, blue=valley), sometimes not. The skill comes with deciding which creases to impose first as part of the collapse. Sometimes it does not matter, most it does, some you can derive based on “knock on effects” on one crease that causes the orientation of a sequence of subsequent creases. Sometimes it is pure witchcraft.

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1103: Brian Chan’s “Walking Locust”

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This model has been on my “must fold” for ages, but I had only ever seen a CP and could never make head nor tail of the design. I saw a rendition on Origami Dan Discord and, after an enquiry it turns out there exists an unofficial diagram, drawn by Hua Ge that guides folders through this terrific insect:

I split a sheet from a new 60cm roll of medium weight Kraft and began folding. There is a load of pre-creasing, primarily setting up the high-density collapses to make the long thin legs, so accuracy early on pays dividends later.

Uncharacteristically, this model uses loos pleat structures to bulk out the body, define the wing covers and head/thorax/abdomen, with a deliciously complex un-sink to make the head-thorax join. Interestingly this model also has a super-detailed head/face – it reminds me so much of the hoppers in “A bugs life”, and it has real “cute” personality, as much as a locust can be cute.

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