mindfuck

1194: 3 Gyroelongated Square Dipyramids

| wonko

Just trying to get my head and mouth around the name of this geometric modular provided the imperative to fold it:

Designed by Daniel Kwan, it is based around Francis Ow’s 60 degree unit, folded on a 4:1 rectangle that then has 30 degree crimps placed at thirds down the length of the paper, on opposite ends. The resulting units seem to spiral.

Units are joined in groups of 4, making a single solid descriptively called a “Gyroelongated square dipyramid” – “gyroelongated” meaning it is an extruded and twisted solid, “Dipyramid” because there is a regular square-based pyramid at each end of the solid.

Daniel illustrated they could be interwoven – 3 can be symmetrically interwined to make a visually startling whole.

The hardest part of this model was working out the symmetry of the intertwining. Merely seeing a finished one was not enough, you need to discover the scheme that, symmetrically, distributes spokes of each sold over and under, taking into account the twist, yet still meet at a pyramidal end WITHOUT overly distorting the units.

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1072: Fergus Currie’s Compound of 3 Cubes (Escher’s Solid)

| wonko

I sat in on a fold-along on Fakebook a few Sunday evenings ago where Fergus Currie demonstrted the folding of modules for this beauty – I got a little lost but on re-watch managed to nut out what was what:

Fergus Currie's Compound of 3 cubes (Escher's solid)

This is a compound of 3 cubes – each rotated on top of each other – when you see it you see it. It is comprised of 48 modules – 2 different shapes, 3 different colours (8 of each).

The folding is exacting, the angles and constructions accomplished and sophisticated, the tolerances for error are small. I think I was a victim of paper thickness when I folded mine – I used bond A3 photocopy paper because I had some lovely strong colours. The result of this choice was that layers get thick, some of the axes are not as crisp as I would like them to be, but it is finished, having taken a seeming age to fold and assemble.

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