1202: Pineapple Tessellation

At the beginning of the pandemic, I bought myself a copy of Ilan Garibi’s wonderful book “Origami Tessellations for Everyone”, but looking through recently I realised I had not folded many of the wonderful designs before, so set about remedying that:

This is a SINGLE molecule of the “pineapple” tessellation. After a simple set of diagonal pre-creases are imposed on a square grid, the first level collapse is really satisfying. You then have to perform a transformation (essentially turning part of the previously collapsed part inside to create the final structure.

You can then inside reverse the “scales” and you have a lovely form that resembles the body of a pineapple, kind of. The molecule tiles a number of ways – given it lies on the diagonal, you can either tile them in X or O formation – I chose to do a 4-molecule O form, just to see how difficult it was dealing with the interactions, but it turned out fairly easily.

By spacing the molecules correctly, and arranging them in an X you can create a rather lovely “Dish” that is dimensional, stands freely, has a satisfying volume and most importantly gives you free paper to shape pineapple “tops” to act as legs.

It was a fun fold, particularly if you accurately place the pre-creases, and get them in the right orientation (mountain/valley) before you attempt the first collapse. It is a terrific addition to the “what can I do with a square grid” pile.

I must explore more, Ilan’s work is well described, challenging but fun to fold.

1058: Twister A

Clocking on for another round of procrastigami, I decided to give the first of the “twister” series a go:

Twister A by Ilan Garibi - 2x2 molecules
Twister A – 2×2 molecules

This is “Twister A”, designed by Ilan Garibi, a lovely dimensional fold with a final twist to finish it off.

I have folded a few square twists, this one perches a twist on top of the intersection of opposing ridges, contains remarkably few folds on top of the base square grid.

Twister A by Ilan Garibi - molecule
Twister A Single Molecule

The basic molecule tiles awkwardly – because of the directionality (it forms in a clockwise direction) of the molecule, you have to reverse adjacent molecules if you want them to line up.

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1057: In ‘da ‘Hood

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

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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1031: Cubes Tessellation

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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676: (126/365) Stellated Octahedron

I am always on the lookout for a striking modular to fold when I am idle at work. This beauty – two tetrahedrons mating, was an obvious choice:

I have folded much more complicated versions of things like this – made with lots of little pieces each having different angle connectors. Ilan Garibi appropriates Francis Ow’s 60 degree unit and adds 2 different connector slots mid way along each long unit – a bottom edge slit and a top edge slit. These then mate seamlessly making it look like a pair of struts are in fact 4 bits of paper when they are not. The intersection of the 2 mating tetrahedrons is an octahedron; points rise from the octahedron faces making it stellated – genius. Continue reading