geometry

1057: In ‘da ‘Hood

| wonko

Exploring Ilan Garibi’s lovely book “Origami Tessellations for Everybody”, the next “family” of folds starts off with “Childhood” and then evolves into more of the same:

childhood evolved
Childhood-Evolved (4×4 molecules)

This is almost a corrugation, as there are nearly no layers overlaying others – the surface treatment is deliciously dimensional, and the distortions are caused by paper tension and torsion of the underlying square-twists.

Childhood Molecule
“Childhood” molecule

I started with standard cotton-based photocopy paper (which for me is a LOT like thin Elephant Hide) and laid in a square grid. Both childhood and childhood-evolved use off divisions. I folded a regular division (halves or thirds), then halved until I was close to the required grid sizes, then sliced off unneeded units before laying in the wedge-shaped mountain creases.

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1056: Red Flower Tessellation

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Exploring the rich and intense world of tessellations, I decided it was time to try the second family of folds described in Ilan Garibi’s wonderful book “Origami Tessellations for Everyone”:

Redflower Tessellation Scale

This is ‘Red Flower’, the base fold of which there re many variations, but the base molecule is based on a square grid and (for single molecule at least) simple to pre-crease and collapse.

Redflower Tessellation Molecule

When you scale up, accuracy shows itself as important – slight errors mean that the internal collapses twist the whole sheet out of shape.

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Exhibition

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Our local community Library has display cases, I have more origami models in storage that I can count any more so offered to provide some models for a month or so for a display:

Display cases

The interesting part of this was selecting a variety of models to demonstrate the breadth of the discipline. The challenge was to select only enough models to fill the small display cases.

Case 1

I decided on a varied collection of single sheet figures, modulars and old favourites, the mix is eclectic and dizzying.

Case 2

The exhibit is on display at least until the end of August, possibly longer.

You can go see it at Holland Park Library

1051: Rhombic Triacontahedron

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Origami designer Fergus Curry shared with me the diagrams for his Rhombic Triacontahedon, I was determined to give it a try:

Rhombic Triacontahedron

30 squares in 5 colours, some clever unit folding later and I had the bits needed to construct this little gem. A positive tab-pocket mechanism, some strategic placement of colours and pretty soon you have a lovely sphere made of rhombi. [edit]: A friend (JZag) pointed out this is a D30 (DnD reference there) – nice and nerdy.

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1050: Kunsulu’s Music Stand

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When I saw the folded form I thought there must be some trickery here:

Kunsulu's Music Stand

All I had access to is the crease pattern (CP) for this model, and, given I am trying to develop my CP solving skills I thought it fair game to give it a try.

Kunsulu's music stand development

Based on a 16×16 grid, some strategic box pleating and an ingenious colour change we have a classic music stand, 3 shapely legs and a piece of sheet music that is a different colour to the stand – magic.

Kunsulu's music stand views

I like this model a lot – it just sort of coalesced in to a successful model for me, although the first fold was on paper that was same both sides but I could see the potential for colour change and had to fold it in duo paper,

1049: Kusudama Dodecaedro

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A few years back, I was gifted a portfolio of amazing vintage paisley paper by the Albions. I have held back folding it until I found something that would do it justice:

Kusudama Dodecaedro

I pulled a sheet (there are over a dozen different paisleys in the folio), it opened up into a large sheet that I derived a way of dividing it into 30 equal squares – the basis on this kusudama.

This is a stellated dodecahedron, with lovely ridges, pentagonal faces and a wonderfully tactile design. 30 modules, based on 60 degree division, wonderfully deep pockets and positive lock, initially it is easy to put together.
You can have a go yourself: https://www.youtube.com/watch?v=MzeQBFay8NY

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1046: Jeannine Mosely’s “Woven Stella Octangula”

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Jeannine Mosely is a legend in the modular origami world, and her early morning session was one I hoped to be awake enough to follow:

Jeannine Mosely's "Woven Stella Octangula"

This nightmare of a model has 12 modules (4 colours, 3 sheets each), and the actual module is really simple (based primarily on a 60 degree corrugation through a fan fold on a 1: root 3 sized paper).

Part of the session was devoted to a neato method of cutting a square down to the correct proportions, a small time in folding the module and the balance in construction, which is a bit of a mind-fuck.

Once you “get” the interleaving, it sort of makes sense, but the shape is not stable until the last colour goes in, making construction really fiddly.

Jeannine Mosely's "Woven Stella Octangula"

The resultant model is wonderful, and I know I will fold it again (I might choose nicer colours, and perhaps make it a little bigger). Jeannine’s instructions were clear and she has a good common sense presentation style.

1045: Miyuki Kawamura’s “Gear Cube”

| wonko

On a high from a folding session taught by Sipho Mabona, I wandered virtually out into the virtual conference meeting rooms and sat in on a modular folding session, where I was taught the modules for a “Gear Cube” – 6 modules that make an intriguing structure:

Miyuki Kawamura's Gear Cube

This is designed by Miyuki Kawamura, and I came in half way through an informal folding session, but picked it up fairly quickly.

I will probably fold this again, with bi-colour paper (all the same however) as I suspect the “gear” mechanism might look more interesting if they are all the same colour.

Apparently spontaneous folding sessions are a feature of Origami conferences – I have never been to one so I was delighted that people shared skills at all hours of the day and night – the Zoom/chatroom combination facilitated by “Gathertown” was fabulous.

1042: Starsea Kusudama

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Keeping my fingers buys, I had it suggested (on Redit) that I should try Tomoko Fuse’s ‘Starsea Kusudama”:

Tomoko Fuse's Starsea Kusudama

I had not seen this before, the unit is complex and folding it on a 1/4 6″ square was, in retrospect, probably a mistake but I like a challenge.

30 modules later, the construction was fiddly but the locked shape is really sturdy and there is no need for glue – tabs are buried deep in pockets. The last few units are really hard to seat (I needed tweezers to ease them into place) but paper tension causes the ball to become regular.

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1041: Anniversary

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38 years ago, the love of my life said “I do”, wearing antique white lace, in Wanganui Gardens, on the bank of the Brisbane River, among family and friends in glorious sunshine. She did this despite the fact that I was wearing a brown suit, ruffled beige bodyshirt and brown boots – must have been either love, or certifiable lunacy.

Maria Sinayskaya's Little Roses Kusudama (squares variant)

Happy Anniversary Jo, love and hugs always.

This is Maria Sinayskaya’s Little Roses Kusudama (squares variant), 30 units – lovely thing indeed.

1036: From little things, big things grow

| wonko

Each year, as an ice-breaker/getting to know you activity with my pastoral care group at the beginning of a school year I try to involve them in a collaborative origami megastructure:

90 unit sonobe spikey ball in construction

Many hands made light work of the 90 sonobe modules, folded from Terracey colours (red, black, white). From little things, big things grow, the whole is greater than the sum of the parts (roll out the well trodden metaphors).

90 sonobe unit spikey ball finished

The construction has taken an age – 5 false starts until I discovered the module grouping – in the end it turned out to be alternating 5s and 6s on each vertex of each 6. Each sonobe module contributes 1/3 of a pair of adjacent points – and with careful colour planning no 2 colours are beside each other (well, that is nearly the case – in 2 places I was forced to break this rule, but you really have to look to find them).

spikey ball scale

90 modules take time, and most of the kids in the pastoral care group folded at least one – a true collaboration that results in a lovely spikey ball that will join the other treasures from previous years.

1035: Hand and Boat

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It is the days you do not look in your mailbox that mail arrives – I arrived home from work to find an astonishing collection of paper from Pham Hoang Tuan’s origami shop, and a couple of his diagrams, all screaming “fold me!”, so I started that journey:

"Hand and Boat" by Pham Hoang Tuan

I had only ever seen this model complete and in CP form, failed at solving that CP 2 times and had given up folding it for now, then it arrived in diagram form to my delight.

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1034: Eric Joisel’s “Harlequin”

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A few months back, in the relative calm of my summer holidays, I began to re-fold “Harlequin” designed by Eric Joisel, after failing to successfully fold it during the “Tribute of Eric Joisel” competition I was part of late last year:

"Harlequin" designed by Eric Joisel

I took my time, learned lots from initially failing, made sectional maquettes to check techniques and really enjoyed the process of folding.

"Harlequin" designed by Eric Joisel in the round
http://www.wonko.info/365origami/wp-content/uploads/1034HarlequinViews-scaled.jpg

This model is such a synergy of techniques – I can see influences from so many of Joisel’s other creations (many of which I have folded before). The initial collapse is vaguely humanoid, but the shaping is the making of model. So many details to control. The face and hat are tricksy but I an really happy with the level of detail I managed here – he has a playful but chilled character, smug smile and refined face – the mask is jauntily sitting on his nose also.

The fabric effects to the sleeved and pantaloons are a nightmare – to make them seem to “drape” is really hard I found, but eventually it came together. I pre-creased some quilted effect on the bodice and skirt which I am really happy with, and the collar took me ages to nut out. He is in full stockings (diamond pattern), has goofy shoes, a fly-away in-action wavey cape and open hands – so many bits were there waiting to be shaped. One can only marvel at the genius of the design.

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1032: Endless Garden

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Cruising Fakebook, as one does, I came across a fascinating origami geometric mindf*ck:

Edu Solano Lumreras' "Endless Garden"

Edu Solano Lumbreras kindly shared instructions for his design, having adapted the techniques used in Thoki Yenn’s “Umulus Rectangulum” corners, to make this tesseract like cubic möbius strip.

Comprised of 6 modules, with some exacting pre-creasing that lends itself to template work, you fold bent square tubes with 3 corners – the shortest corner makes the “tab”, the opposite end becomes the “pocket”.

A4 rendering

Folding in a4, the geometry is just as elegant, if exacting.

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1031: Cubes Tessellation

| wonko

Looking through my Origami Library, I realised I had bought “Origami Tessellations for Everyone” by Ilan Garibi back as the pandemic hit early last year, and realised I had yet to fold anything from it at all:

Cubes by Ilan Garibi
A field of cubes

Early last year was crazy times – bushfires, floods and then lockdown from Covid-19, this book got buried in my reading pile so it is time to begin the journey of exploring tessellations more formally.

Starting at the beginning, with the “Cubes Family”, this is “Cubes”, a deceptively simple tessellation of twisted cubes. I present the “molecule” – that is the tileable unit:

Cubes by Ilan Garibi Molecule
Cubes “molecule”
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