Wednesday, June 20, 2018

[lucddrvd] Hypercube nets

Build the collection of 261 octacubes that can be folded into a 4D tesseract.  (They are out of 3811 octacubes total.)  Maybe these give intuition about the fourth dimension.

Peter Turney, Unfolding the Tesseract, Journal of Recreational Mathematics, Vol. 17(1), 1984-85.  Has anyone else replicated/confirmed the count?

Update: https://mathoverflow.net/questions/198722/3d-models-of-the-unfoldings-of-the-hypercube

In 2D-3D, 11 out of 35 hexominoes are nets for the cube.

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