Year: 2006

links for 2006-03-06

VoroGlide – interactive Voronoi Tessellation applet This is exactly what I was looking for- a voronoi tessellation applet that allows you to move the points around and see how shapes change and interact in realtime. It also shows you the DeLaunay triangulations for each point, which are critical to use as (tags: voronoi tessellations applet voroglide java math software) Centroidal Voronoi Tessellations information on Voronoi tessellations that are more “normalized”, and are more useful for my purposes. some interesting concepts here to exploit. (tags: voronoi tessellations CVT centroidal geometry math)

negative stars by Joel Cooper

negative stars tile Originally uploaded by origami joel. Joel folded these beautiful star patterns, using the “negative space” concept. A departure from his normal methods, he says, but his folding techniques and skill are unparalleled- these look amazing. check out the backlit photo:

links for 2006-03-03

voronoi : Built with Processing another spiffy Voronoi tessellation applet, this time built with the magnificent Processing framework. Thanks, Alex, for providing the source for this! (tags: voronoi yaxu tessellations tessellation processing applet) del.icio.us/ikomi a big collection of origami bookmarks on del.icio.us. Thanks Iko! (tags: origami bookmarks del.icio.us)

Star Twist Tessellation v2.1 Crease Pattern

I updated and cleaned up my crease pattern for the Star Twist Tessellation v2.1, and posted it to my diagrams page. This is one of my favorite designs, although it’s a bit tricky to fold. I’d like to figure out a better folding sequence, but right now all I have is a large, all-at-once collapse method. Anyhow, give it a try, if you are so inclined. It’s a beautiful pattern, and it repeats infinitely. It would probably be better to call this a “geometric progression” instead of a tessellation, but I’m not going to nitpick about it for the time being. Licensed under the Creative Commons non-commercial, attribution license. Some rights reserved. (this means you can distribute and use it freely for non-commercial use, as long as you mention who made it!)

Mosque Tiling with negative space, WIP

Mosque Tiling with negative space, WIPOriginally uploaded by Ori-gomi. The rendered product. hard to see with this paper, but it is a pattern of hexagon shapes in a hexagonal grid, connected by large stars with smaller stars set into them. There’s a lot more that could be packed into this pattern, or changes made to the general folding of it- it’s quite flexible. the 90/120/90/60 intersections (the tips of the interior stars) are quite easy to fold, and that particular pleat/crease intersection can be made into dozens (literally!) of different things. It was hard for me to decide on this particular tiling and folding sequence. Anyway, let me know what you think. I’ll use some unryu next time around.