The Origami Forum

Hi everyone,

I was just wondering if any one who folds scale tesselations knows how to change the scale when doing scale tessellations ?

For example when sinking squares ino scales on a 32 x 32 grid..then halfway through making it into a 64 x 64 grid so the scales are 50% smaller ?

Reason being I'd like to improve my own Boa design by sinking scales and making the head an tail scales 50% smaller..and also have a go at the great Eric Joisel's Pangolin

It should be possible.
The only issue would be working out how to deal with the transition from one grid size to another.
I'd suggest doing a test fold where you fold one half of a piece of paper with your 32 grid and the other half with 64 grid, then start tessellating from each end and see what happens when you get to the middle.
I'm sure you'll be able to find some kind of fairly elegant way of merging from one resolution to the other.
At least you're talking just a factor of 50%, and not some awkward amount like 28% or something.

If you look at Shuki Kato's Flickr, he has a molecule somewhere that turns a two-unit pleat into two one-unit pleats. So that would only work with certain types of tessellations, but it's a start, at least.

Many thanks !

I'll take a look at his Flickr and see if it's appropriate..I had a go at it myself but the results were awful to say the least !

Another unit that works (and is a lot simpler, IMHO) is the scale transition unit in the Ryujin: pleat perpendicular to the tessellation's pleats, reverse-fold and unsink the near edge, then spread-sink the new edge and closed-sink half of that. Then fold the rest of the paper back over. *facepalm* I can't believe I didn't think of that until now.

Thanks !

Looks like a simpler way to do this as there's some serious angles going on in Shuki's molecule.

Time to get practising I think !