Torus

When gifted a Larson a Day tear off calendar (thanks Matt), I was faced with a problem – each tear off day is a perfect square and there are 365 of them (for the year), and … I obsessively fold paper so naturally:

This is a 360 unit modular, based on Tom Hull’s Phizz unit – sort of origami lego.

The construction relies on inherent curvature of clusters of units. If you link 6 into a hexagon, the resultant shape is flat. Less than 6 units and the structure curves into a bump (ie. positive curvature), and groups of 7 or more negatively curve (like a saddle).

The basic structure is an inner strip of 6s, either side is a strip of 7s – this then forms the middle of the donut. A strip of 6s, then a strip of 5s to outcurve and then a strip of 6s to close – sounds more complicated than it is, but boy is it fiddly. Docking 3 phizz units together requires interleaving layers over a bend – when there is nothing else in the way it is simple, when there is lots surrounding it then it becomes very difficult, particularly when you cannot reach both sides of the join in the later stages of lacing it up.

The result is lovely, the geometry draws the eye. This used up what will be 1/4 of the total sheets torn off for the year – whether I keep going is up in the air at the moment – long term projects are fun so we shall see.

Another Brick In The Wall

I vaguely remember folding lego in my original 365 journey back in 2011 and I am sure I remember following a set of diagrams. Looking back, the resource moved and has degenerated into low res Crease patterns:

Lego development

Un-flummoxed, I set about re-acquainting myself with the fold – an intense little 12×14 grid, special collapses for pegs and pits.

blocks

Having folded one, by gridding a square cut from an A3 sheet, initially 16×16 (because that division is easy) then slicing off 2 and 4 units from adjacent sides to get to 12×14. the resultant block was fiddly, but I got back into “the zone” and the collapses were tidy.

collection

I then realised that I could waste less paper by dividing the short side of an A3 in 3rds, then 6ths, then 12ths, when squaring along the long side I had to remove only a small sliver off the end (quite efficient use of the sheet) – the resultant grid made a much more satisfying sized block.

building blocks

I set about making a few different colours, because.

another brick in the wall

All in all, they are just another brick in the wall. Mother, did it have to be so high?