How many 3D nets does a 4D hypercube have?

From the creator

Get to know Jane Street! https://www.janestreet.com/join-jane-street/get-to-know-us/ Which hypercube unfoldings tile space? https://whuts.org/ Yes, you can buy one of the 261 models from this video and support the channel. All hand-numbered by me and with a signed certificate of authenticity. https://mathsgear.co.uk/products/cube-model Here is Giovanna Diaz and Joseph O’Rourke's paper: https://arxiv.org/abs/1512.02086 A091159 Number of distinct nets for the n-hypercube. https://oeis.org/A091159 The code Moritz used to find these values is here: https://github.com/google-research/google-research/tree/master/cube_unfoldings All of Moritz Firsching's 3D models: https://mo271.github.io/mo/198722/unfoldings.html Their post on the number of unfoldings in higher dimensions. https://mathoverflow.net/questions/300713/number-of-hypercube-unfoldings This is the Math Overflow post which started it all: https://mathoverflow.net/questions/300713/number-of-hypercube-unfoldings Peter Turney's 1984 paper Unfolding the Tesseract https://unfolding.apperceptual.com/ The cubes I am using are called "mathlink" and I just bought a huge quantity from Amazon (because Learning Resources didn't answer my emails). US: https://amzn.to/3bsWOZd UK: https://amzn.to/3offAsr The unfolding animation of the 'Dali cross' was kindly made by my Patreon supporter John Sawyer. I actually put the rough-cut of this video out on Patreon earlier this week so they could provide feedback and help test the whuts

Published 2021-05-14 · Watch on YouTube ↗
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