My latest design is the 60 Pleats Origami Twist Box. This is an upgrade to my previous design, the 40 Pleats Origami Box. This is a one-sheet origami model that starts off from a 30 sided polygon. This in turn is called a Triacontagon. You can read up more about the geometry on this if you want here.
This kind of box can actually be made from any kind of n-sided polygon. If you read my first article, you can see pictures from 3, 4, 6 and 12 sided Pleats Twist Boxes. That article also has a link to a diagram from a Hexagonal version.
Hand Draft Or Not?
Short answer – Not! After I hand drew the crease pattern to the 40 Pleats Origami Twist Box I knew that I reached the limits of accuracy. I tried folding the 60 Pleats Origami Twist Box from hand drawn crease pattern a few weeks ago. But it was a complete fail, as it didn’t even want to close on the top.
The only way to get this box right is to draw the crease pattern in a CAD program. Then the drawing is 100% accurate. But then there is a different problem: The printer only prints out pages up to 21 cm width. Yet the 60 Pleats Box (yellow and rainbow version) needs paper around 35 cm wide.
What to do when the paper is way wider than a printer can print?
There are actually three ways to solve this problem. One of them is tiled printing where you glue together let’s say 4 pieces of paper of your crease pattern before you score and fold it. The yellow box was made this way. It’s actually made from 4 separate pieces of paper.
Another way is to print out the crease pattern with tiled printing. Then you glue all of them together (use as pattern) and place it over your intended origami paper for the model. I used masking tape to glue the papers together to each other (and to the table) so they don’t move. Then I used a needle and marked each of the intersections. Once I removed the crease pattern copy, I redrew the complete CP onto the actual paper. I did this with the rainbow 60 Pleats Origami Box. As you can see this method is actually the least preferable from all three solutions. The closing is not symmetrical due to this method not being really accurate.
And the last and probably the best method is to just shrink the design down to less than 20 cm size. Then you just print it as one page onto your Kami paper. This method produces the most accurate box, but needs quite a lot of skill to pull it off. I have to admit that my hands were shaking when attempting to finish the closing of the box. You can see this method in the blue 60 Pleats Origami Twist Box.
Measurements and Paper
The smallest of this series of 60 Pleats Origami Twist Boxes is so tiny it fits more than easily onto my palm. It has a diameter of only 6 cm. The paper I used was Kami. (Adjusted so it fits into the printer tray – around 18 cm total width of crease pattern plus print margins.) The rainbow box was made from Rainbow Kami that I bought once in large sheets (table size). And the yellow version is colored printer paper. From all of the papers used this was the least favorable paper, as it was way too soft.
Plans for the next version of this box
Actually I started drawing my next version of this box a while ago. That will be a 100 Pleats box, starting from the shape of a 50-gon polygon (Pentacontagon). More updates coming soon. 🙂