I have a huge pile of “must get around to folding this” models and “Square Spaceness” designed by Alessandra Lamio is one of this legion:
Take a square, divide it into a 16×16 grid, lay in strategic mountain and valleys and you get this almost Escher-like tessellation molecule (meaning you _could_ put multiples of these if you had a more expansive grid with some tweaks and a bit of smush).
Charged with the confidence Advent of Tess gave me, I knew it was time to give this a whirl. There are many long slight diagonal valleys that make up the bulk of the geometry for the inward sloping spirals, and the corner widget is ingenious as a lock, and adjusting the outside pleats lets it sit flat – love it.
It was late in the semester, I was looking for a folding project (to add to the other 4 already on my board – procrastigami strikes again) and noticed in my feeds a 25-day program by Madonna Yoder called “Advent of Tess”. I guess I am supposed to know about Advent, having worked in a Catholic boys school for 33 years, but… apparently it is the 25 days in December leading up to Xmas (learn something every day)
The idea was that Madonna released a CP and a video tutorial each day for 25 days, victims start with hexagons of paper pre-creased into 16-grid triangles, and collapse increasingly difficult combinations of tessellation techniques on the page.
The first few were easy, and collapsed simply, but then I decided I did not need the tutorials and proceeded to mark up the paper with the day’s CP and collapse from that. This approach came awry pretty quickly as the elements began to argue for the same real estate on the sheet and I learned that sequential development was way more sustainable.
The folds started with closed triangle twists (something I had done a lot of previously, so found accurate placement of these fairly easy. We later progressed to “open” triangle twists, which are much harder, and require a “setup” that uses paper tension to define the lines off-grid that were the sides of the triangle.
We then progressed to closed hexagon twists (again, something I had done lots of beforehand) and refined them into “open” hexagon twists – a fascinating variation of a “star puff” of which I had passing familiarity.
I stumbled across the instructions for a glorious checkerboard kusudama designed by Andrey Ermakov, an insanely talented designer from Russia:
Russian Lilac unit
I decided to try and make ONE module – an exhausting process that starts with a HEXAGON initially divided into a 16 grid, then you dance through moves that flash and hide the reverse colour of the paper until you get this lovely pattern. This took me in excess of 2 hours!!! For ONE unit!!!!! You then crenelate and interweave them to make a spikey ball, tucking in tips to complete the tessellated surfaces.
Had I no life, and a LOT of paper, I would consider making all 30(!?!?!?!) of these things necessary to make the most complex spikey ball there is – a beauty that is not within my reach (for now) due to time pressures.
It is a timely reminder that astonishing and beautiful things come from Russia; ugly political and military action does not diminish this fact.
Clocking on for another round of procrastigami, I decided to give the first of the “twister” series a go:
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 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.
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 (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
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.
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.
When you scale up, accuracy shows itself as important – slight errors mean that the internal collapses twist the whole sheet out of shape.
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:
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:
