tess57c Originally uploaded by ckn.niwatori. This tessellation is quite fascinating, for several reasons, which I hope I can elucidate here. First, here’s the underlying tessellation- a 3.4.6.4 semiregular tessellation. (Image used from Totally Tessellated, which is a site well worth visiting if you like tessellations.) Normally (for me, anyhow) folding a 3.4.6.4 tessellation requires using quite a bit of paper to flesh out all the pleats, intersections, and other parts; so necessarily, one must use a piece of precreased paper with quite a few division in it to really do the pattern justice. The real beauty of the way this design has been folded lies in the use of elements on both sides of the paper; so the pleats coming away from the open-backed offset hexagonal twists on the back turn into the pleats leading into the triangular twists on the front, with a minimum of wasted space. Joel Cooper uses this technique very often, in his “flagstone” style tessellation patterns. While this design does not pack the twisted polygons as close together as Joel …

Tessellation of Hydrangeas Originally uploaded by Tangomath. Some really nice work recently from Jorge Lucero, of Brasilia, Brazil. Jorge was one of the exhibitors at the Tessellation exposition there last month, and his work was huge- and very impressive! Since then he’s made some new work, including this multi-hydrangea tessellation. Very good stuff, and very precise- it was a joy to look at his folding there, as it’s absolutely accurate. (Although that is perhaps what one would expect from a mathematician…) Thanks for sharing this, Jorge! website: http://www.mat.unb.br/~lucero/orig_e.html (english) http://www.mat.unb.br/~lucero/orig.html (Portuguese) his flickr page

Need a Photo for the Blog Originally uploaded by oschene. Philip Chapman-Bell (aka Oschene on Flickr) has been doing a lot of fascinating exploration of twists lately, including some spectacular 16 sided chrysanthemum shapes and this particularly delicious 10 pointed twist star. True to form, after sorting all this information out he went further and published a full sequenced crease pattern (SCP) for this design, and released it under the CC License. I am a big fan of his SCP work- it’s clear to see and understand, and is a lot more thorough than a basic CP while being easier to create than a full diagram set. And I have to give him a big hand for releasing his work under a CC license so others can freely use, share, remix, and reuse his designs. Thanks for sharing this with us, Philip! Here’s some more of his stellar work:

Lightbox Testing: Joel Cooper, RAW vs. JPG (Origami Tessellations) Originally uploaded by EricGjerde. Hey there- I’m doing some testing with a lightbox setup, and I could use some feedback. I’ve got a few photos in my photostream- more to come tomorrow- and I would like to know how they look at full resolution to you. good? bad? fuzzy? clear? I’m leaning towards shooting RAW files and doing a lot of post-processing, but it’s a lot of work to do. Maybe I’ll need to switch to film or actually go out on a limb and find someone with a 12+ Mpixel digital camera to do this thing right. Anyway, take a look- http://www.flickr.com/photos/origomi or look on my Photos Page and click on “Recent Photos” to see them. Thanks for your feedback. -Eric