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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