This is a piece that I have been working on for a while now- it’s the latest version of my star twist tessellation. (it will fill the plane, eventually!) It uses a logarithmic growth pattern to create a sequence of triangles that follow the fibonacci sequence in their growth, or at least as much as I can predict without folding further and further towards infinity. You can see some additional photos as well as some initial crease patterns for this design on my local photo gallery. here’s the cut and pasted flickr description text: ——– This is based on my original star twist, but is taken quite a bit further. Have you ever started folding something, which was interesting and complex, only to later realize it was something you had folded before? And you just spent quite a bit of time finding another way to get there? I realized after folding the star twist version 2 (found here) that it was really the same as my original star twist, but just folded differently to allow …

star twist version 2.1, cute, backlit Originally uploaded by Ori-gomi. This is based on my original star twist, but is taken quite a bit further. Have you ever started folding something, which was interesting and complex, only to later realize it was something you had folded before? And you just spent quite a bit of time finding another way to get there? I realized after folding the star twist version 2 (found here) that it was really the same as my original star twist, but just folded differently to allow for the relatively complex folding sequence. When I started folding my first version back in the spring, I had not explored logarithmic folding or really much of anything yet. Now that I have a few months of research and exploration under my belt, I am able to better recognize what I’m doing. This is a positive thing, in my opinion. Anyhow, this design uses a pattern based on a lot of triangles, which expand in a logarithmic progression. very pleasing to fold, if not a …

Two-sided sequential hex star (star twist, version 2) Originally uploaded by Ori-gomi. This design is a (logarithmically?) growing shape, which gets increasingly larger each time you change sides of the paper. My intention is to find a method of folding this all on one side, but for the time being this is where we are at. it uses the normal 60 degree precreased grid for one side of the star, and the other side is based on a 60 degree grid that is offset by 30 degrees. This means that the stars are offset to each other, and don’t match up in any way, other than some odd geometry which I don’t quite understand yet. Like other models (like the Fujimoto Lotus or Hydrangea) this item can be folded infinitely larger, as it keeps expanding to larger and larger sizes. I think, in fact, that it will grow using a logarithmic scale (I guess it must to do this) but I don’t know the details on what number it will be. I have ideas, but …

Origami bar_yellow Originally uploaded by mourazul. an update on this- it’s an origami display in Barcelona, Spain. the info from mourazul on flickr: “It’s in Barcelona, at the end of the “Ramblas”. Just ask for the “wax museum”, and you’ll find it!”

20041218 Flower, Sesriem Canyon, Namibia 001 Originally uploaded by gakout. Flowers (and many if not most things in nature) can be found to have geometric properties that are aligned with the number Φ (Phi). It’s one of those numbers, like Pi, that are endless non-repeating numbers; Phi is, approximately, 1.618034. it really goes on endlessly, though. The geometry of the pentagon and all related shapes that use the same angles tend to have a natural affinity for both Phi and phi (lowercase) which is equivalent to 1 over Phi, or 1/Φ. this, oddly enough, is equal to Phi-1, or 0.618034. This is also the number that makes up the “golden ratio”, long known and used for it’s great geometrical qualities. you can find out more information here, or just do a google search for Phi and the golden ratio. Here’s a good entry on Phi in plants. This photo really represents this concept quite well, and it’s something that is so simple for nature but yet so difficult to try and recreate! I feel there …