Howdy — coming here from the Origami Resource Center? Welcome, but please be advised that this particular model is crazy difficult and just about anything else on the site would be easier to fold. Here, try the model menu.
The CP is meant to be white side up; blue is mountain fold, red is valley fold.
This model comes out of a lot of thought about current origami chatter and the nature of things. I have been turning over an idea in my mind about an open-source origami rose – folders love those complex roses, sometimes with an inordinate love. I was thinking that we should have a new line of roses, somehow distinct from the Kawasaki line and entirely open to variation without propertarian hoo-ha.
It’s one thing to consider this a desirable object, quite another to invent it.
And then, I wanted to avoid the tyranny of 45° and 22½° angles and even the insurgent purity of 30° and 60° angles. No, I thought, the open-source rose requires ?-quiddity to make it go, for only five-fold symmetry will make it come alive.
Well, I’m not there yet. The open-source rose remains one of those ideas that rotate in front of me when I’m drowsing between the snooze alarms. But there’s always the creations on the by-way.
A pentagonal compass rose box is a theoretically impossible thing. But since the theory is largely of my own making, I decided to be reasonable about it. When you twist shut a tube with an odd number of sides, the corners and sides never line up. And you can’t collapse something that doesn’t line up. But, I thought, what if you twisted it twice and bashed in the corners?
Yup, that works, though it’s not the easiest collapse I’ve seen. You get to make two collapses at once and the paper puts up a fight. Persevere. It would probably make a nice wrapping for a Christmas present.
The golden rectangle has a ratio of 1:(?5+1)/2 and is full of lovely 3-and-5 resonances. For instance, if you divide it in sixths one way, it divides itself in fifths of its own accord. and 36°, 54° and 72° angles are to be had without too much struggle. Joseph Wu has a piece on folding silver and golden rectangles here. I got a lot of the math for this from Kasahara’s Origami for the Connoisseur and Amazing Origami.
The Pentagonal Compass Rose Box (both A4 and American Letter versions) are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.