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Curated by: Physics for the Birds (26 videos)
How many ways can you fold a map? The problem is pretty hard, even for computers. Become a Patreon member: https://www.patreon.com/PhysicsfortheBirds 0:00 Intro 2:07 Wrong ways of counting folds 3:54 How to fold a paper into thirds 4:44 An algorithm for counting 6:35 I rant about code 10:19 Map folds in robotics 12:47 Conclusion Overview of Folding Math: Geometric Folding Algorithms, Erik Demaine and Joseph O'Rourke Map Folding Intro: https://www.ams.org/journals/mcom/1968-22-101/S0025-5718-1968-0221957-8/S0025-5718-1968-0221957-8.pdf Multi-Dimensional Map-Folding: https://academic.oup.com/comjnl/article/14/1/75/356368 Sequences involving Map Folds: https://oeis.org/A001418 Modern Fold-Counting Code: https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a001/A001415.java Map Folding in Robotics: https://www.semanticscholar.org/paper/A-Geometric-Folding-Pattern-for-Robot-Coverage-Path-Zhu-Yao/670031bc76fecf4172e1c367de3259750a0323f9