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Re:Views of the Tesseract (1904) by schoen on Wednesday August 19, 2015 @07:16PM (#10089167)
I remember that letter to Gardner!

It sounded like the colors represent offset in the fourth dimension, with particular rules for how the colors ought to shift in response to particular motions (including rotation). I think I met someone at a math camp who had played with these. I was wary of doing so because of that letter, which I took pretty seriously. But maybe it's no worse in practice than playing Tetris or Chess (which also train you to perceive particular spatial relationships, which people then famously imagine even when they're not playing).

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