1002: Flat-folding Curve-following Parabolic Corrugation

I had been exploring corrugations that followed curved lines, as you do, and sort of worked out that you needed a quadrilateral face with equidistant gutters either side, but my rough approximations were foldable but not pretty:

Flat-folding Curve-following Parabolic Corrugation

Then I saw a published paper, about the same thing, that suggested square/rhombi arranged diagonally to follow the line, organised diagonal-based accordion pleats, and a scale factor bigger of the same shape for the gutter creases and bingo, problem solved.

Flat-foldability is a thing, there is lots of maths in it, but it is so satisfying to have manually derived something that was subsequently proven (*flex*).

Flat-folding Curve-following Parabolic Corrugation CP
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948: “Snow Crystal” Hex-box

I have been looking for tidy self-contained folds based on A4 paper that hides the raw edges, so I could try my lovely thistle-based hand-made paper (from the ladies at Paper Makers and Artists):

snow flake box complete

This box looks like a traditional fold, but seems to be credited fairly recently to Sweet Paper, a paper art shop/tutorial site I stumbled across in my musings. Not sure of the attribution however, as many of their featured designs I have seen (and folded) from other artists.

lid and base. Lid is 3/7ths of the sheet, base is the rest

The paper, with lovely rough chopped scotch thistle fibres and other pulp is fairly crisp, fairly thin but had raggedy (beautiful) decal edges that I did not really want to have to chop off.

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749: (199/365) Oyster Box

David Mitchell is a legendary origami designer, responsible for countless geometric wrangles:

This is an “Oyster Box” – a box that resembles a bivalve, that locks together rather satisfyingly and opens to reveal a spacious interior. Continue reading

402: Washi Hex-Box

This model combines two things I love about Origami:

The geometry of Fujimoto’s Hex box is wonderful, it provided me the perfect excuse to do that which I have put off for far too long. A colleague (thank you Mrs Erizabreth) gave me a roll of hand-made Washi she brought back from Japan many years ago. She had never worked out what to do with it, having fallen in love with it in a shop, bought it on impulse and had it squirrelled away in a cupboard packaged up as new.

She asked if I wanted it, I said yes (having no idea what I was in for). When she left it on my desk and I unfurled it for the first time I was speechless – hand-made, hand-block-printed, with gold and silver foil, the front face is glorious. Flipping the “paper” over, the texture of fibres is also glorious – both sides a work of art.

I have AGONISED about what I would do with it, and today I finally cut it – it was an important moment in my life. This might sound melodramatic, but I have another piece of washi I bought myself 3 years ago, black with gold calligraphy, that I can still not bring myself to cut. there is a special sort of reverence in beautiful things I think.

Anyway, I decided to fold a lidded box from the first cut pieces for 2 reasons – the hex box is my favourite and the paper makes it sparkle like a jewelled box.

I had a little panic, so mocked up the fold with some scribbled on copy paper – it occurred to me that I had NEVER folded this model with coloured paper – I just sort of assumed it worked itself out and the coloured side would show whilst the non-coloured side would hide itself away. Thank goodness, with a little tweak all worked out well.

There is so  much to love about this fold – it is teachable (I taught my Origami Club how to do it – year 9 boys managed it admirably); all it’s raw edged tuck away inside the body of the model, it’s top and bottom are folded slightly differently but nest inside each other beautifully; the top hex twist is lovely – with this paper it appears puffy and sort of quilted.

I am very happy with this, my first really expensive paper box. It is a gift, I envy the receiver but at least I have more of this lovely paper to obsess about.

385: Beer Mug/TeaCup

… so I was thinking through a waterproof container, being inspired by a paper cup I dismantled from a water cooler, and came across this design:

Working with an A4 page, and inscribing, via a simple half-third intersection and some simple geometric construction, an octagonal base, sides radiating from it and pleats to tuck away the excess paper, a container was born.

Because the base was centred 1/3 of the way down the page, there was, by design, enough paper to fashion a rather nice handle.

Very happy with this – rare that a design in my head so closely matches what later manifests on paper, and I might get around to diagramming it someday – the basic form however is pretty obvious in retrospect.

By varying the size of the base you get a taller or squatter container. By flaring the radiating sides, the container is more conical than cylindrical – all interesting. Mastering the pleats necessary to make the handle is interesting and as an added bonus the ends tuck away locking in position inside a facet gusset – neat indeed.

I trialled it in clear plastic, scoring the creases with a stylus before reinforcing them – tough going actually as the plastic had memory and continued to try to unfold. Interestingly, the finished article was waterproof and strong enough to be held by the handle while containing water so it is functional as well as pretty beautiful.

I know a gnome that needs this, so the next step was to make one to size and put it in his hands:

Squiffy now has his pint.