tessellation

1084: Square Spaceness

| wonko

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:

1084: Square Spaceness - plan view

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.

1084: Square Spaceness - diamond view
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1068: Russian Lilac Module

| wonko

I stumbled across the instructions for a glorious checkerboard kusudama designed by Andrey Ermakov, an insanely talented designer from Russia:

Russian Lilac unit designed by Andrey Ermakov
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.

Russian Lilac shaped to allow others to interlock.

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.

1058: Twister A

| wonko

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

| 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

| wonko

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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