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Octagon tessellation1/5/2024 ![]() The detail of the center is a bit messy because I haven't learned how That radiate outward from the center have been folded into a series ofĮver-expanding 12-pointed stars instead of simply proceeding straight. Surrounded by closed-back triangles and squares. The center is straightforward enough: a 12-fold closed-back twist This is one of those designs that I could sit and stare at for hours. (I should probably explain this in more detail.)Ħ.4.3.4 at recursion level 2: each edge in the original design has The number of divisions by 2 in order to get the handedness of the Each recursion level in this pattern increases The triangles and the central hexagon containĦ.3.6.3 (as above). The square segments contain 3x3 twist folds (the Note how the edge of each cell has been divided On the Shadowfolds site these areĭescribed as "Watering Fujimoto's Garden". TheyĪre each based on the Archimedean tessellation 6.4.3.4 but haveĭiffering levels of recursion. The following three pieces are what Chris Palmer calls whirl spools. Pattern was originally due to Shuzo Fujimoto. This is 6.3.6.3 filling a hexagon instead of a long rectangle. Piece of paper for this began as a long rectangle. Have a few of those it becomes a simple matter of subdivision. Start with a square, it's easy to construct a crease pattern withįolds at 30- and 60-degree angles to the center lines, and once you This is actually fairly straightforward: if you This piece was folded on a grid of equilateral ![]() ![]() To the closed-back twist before the final collapse.Īll of the tessellations so far have been based on a square gridĮxcept the red iso-area octagons, which are based on a pattern of The variations come from things you can do This is what happens when you fold an open-back I octagon on top of aĬlosed-back octagon twist. (Yes, the detail of theĬenter is out of focus. Octagonal twist in the center of the pattern. Theįour stars in each corner of the paper also incorporate a closed-back This piece is all variations on the open-back (I) octagon twist. The same on both sides of the paper, a technique known as The result is that the pattern on the right looks Rotated 22.5 degrees, and alternating pleats emerge from different Regular twist octagons (open back II) where all the pleats emerge from These two pieces are essentially the same pattern. The crease pattern for this piece consists of a ring of eight bird Tom Hull posted some instructions for making a flower tower to the origami mailing list a while back. Tessellations, although it's possible to get the octagon collapse toĪ flower tower is a recursive pattern based on aĬlosed-back twist fold. Neither of these patterns have much at all to do with regular you can click on it for a higher-resolution version. Without further ado, here are the images! Everything you see here The tape is worth it.) If you're looking for other web pages, I know of the following three: If you're interested, call them and ask if this is still true. Strip, which began as a piece roughly 1 meter by 500 mm.) (The one exception is the brown triangles-and-hexagons Pieces began from pieces 500mm square all the others began as 700mm The translucent pieces were all folded from glassine. Is a Tessellation? page at the Math Forum. You're interested in the math behind these patterns, I recommend the You're running recent versions of Netscape or IE you probably already Shadowfolds is visually beautiful but is all Macromedia Flash. All of theĭesigns on this page were derived from pictures he's put up on his Shadowfolds site. Recent innovation has been by Chris Palmer. The early work was done by Kawasaki and Fujimoto and most of the Origins of this particular branch of origami, but I know that some of This doesn't make one particularly sane are cheerfully acknowledged.)Įach of these was folded from one sheet of paper. This is my favorite method of sanity maintenance. Andy's Tessellation Page Regular and Semi-Regular Tessellations in Paper
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