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Tiling Operations and How to Use Them

The tilings used for designing origami tessellations must be two-colorable in order to have all the pleats lay flat between twists. This gives an interesting constraint when considering how to create new tilings from existing tilings. The summary of these operations is that you can: Add or remove a line (either straight or composed of many segments) of tile boundaries Add or remove a closed loop of tile boundaries Expand tile edges along lines or balanced networks Tessellation Academy teaches a tiling-based approach to folding and designing tessellations and includes some deeper conversations about modifying tilings. You can learn more about this membership here: https://training.gatheringfolds.com/a... Many of my own designs are more advanced than what I’ve taught on YouTube. Check out my latest thinking on advanced tessellation design in Advanced Twist Techniques: https://training.gatheringfolds.com/a... Get the full collection of crease patterns for my hundreds of tessellation designs - including ones that use the modified tilings discussed in this video - here: https://training.gatheringfolds.com/g...