I’ve updated my origami site with some new tessellations. I had been waiting and planned to refold these designs out of good paper and then take new pictures. But there’s a lot going on with origami and me these days, so I figgered as long as I’m updating my site I may as well throw ‘em in there. I’ll be folding lots of new stuff and taking lots of new pictures soon anyway.
Two of these designs date back to last June, when I created them at the OUSA annual convention. They are what I’m calling the Quadrose and Psuedo-Penrose Stars. The Quadrose Star came first. It features a fourfold symmetry that is easer to fold and has fewer cells (24 vs. 40). In fourfold geometry this is an allowable quasicrystal tiling. But it was just a proof of concept for the Penrose, a spiral matrix of parallelograms that features fivefold symmetry. At first I thought it was a ture Penrose tessellation, since it was in 4space, but the joining rules do not conform to the Penrose tiling. I have since folded several true Penrose quasicrystal tilings, but have yet to fold one out of good paper. They are more challenging because several different angles come together at the vertices. Meanwhile the star will have to do.
The third model is a grid of interlocking pentagons and hexagons, which has some really interesting properties if you look at it long enough. I hope to fold all of these out of good paper soon.
In related news, I just ordered a metric shitton of high-end origami paper from France. It’s from Origami shop, Nicolas Terry’s online store. The thing that motivated me was his claim that he bought up the remaining world’s supply of Elephant Hide paper, which is no longer being made and hasn’t been for sale anywhere the last few years.