![]() As with normal gridding methods, you’ll want to prioritize powers of two for simplicity or at least find a multiple of two or four. Values on the square grid are positive for positive slopes and negative for negative slopes.Ĭount from your center point along a grid line until you find a good place for the edge of the paper. Grid units from the first point to the second point, and plug them into the appropriate formula for the square grid reference or triangle grid reference. ) like in the hexagon example above, you can skip the reference calculations and fold opposite corners together instead. If your line is exactly diagonal to the grid (.There are many options for the second point - the closer the point, the easier the reference (generally), and among equivalent options I always choose the one closest to horizontal to the right of my center point. Find your center point, and draw a line to the same point in another pattern repetition. Lens Stars, independently discovered by many origamists, including me Mixed Compound Squares Tessellation, my design ![]() This completely eliminates any awkward wedges of paper at the edges of the design and leaves a polished, intentional-looking finish. You can see that the rotated tessellations have the same repeating elements as the normal ones - they're just aligned with the edges. Gapped Clusters, without and with grid rotation Open Alternating Weave, without and with grid rotation ![]() Here’s some examples of a tessellation that was made with and without rotating the grid. I learned about arbitrary rotated grids from Elseh on IG), and just like when I learned the odd gridding reference method, it was too good to not share. Mark Leonard also used a 2:1 grid alignment for the Waterbomb tessellation back in 2004. You may have seen rotated grids before in tutorials for the Triangle Twist tessellation or variations of Fujimoto’s Clover where the grid is perpendicular to the normal edge-aligned grid. The good news is that there’s a fairly simple solution - rotated grids! These grids take into account the alignment of the repeating elements of the tessellation with the grid, and then allow you to align the edges of the paper with those repeating elements, at the location of your choosing. You’ve seen some tessellations that are mysteriously well-aligned with the edge of the paper, but don’t know how it’s done. You don’t have a laser cutter or Cricut scorer, but you still want to make stunning tessellations without guessing and iterating over and over. Are you folding from crease patterns and looking to level up your tessellations?
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