I understand that the shadow of an object is one dimension less than the original object.

What what the shadow of a tesseract look like? Are there any real world examples?


I found this, the Grande Arche in Paris which is a hypercube. Is this a true tesseract, and does it have a 3D shadow?

  • $\begingroup$ I don't remember how the base of Grande Arche looks like. The other part of it does look like the projection of a tesseract into $\mathbb{R}^3$ along one of its symmetry axis. Along a general axis, the shadow/projection (either orthographic or perspective) of tesseract is something like what is shown in this video. $\endgroup$ May 8, 2014 at 7:20

1 Answer 1


Undestanding "shadow" as projection, see at Wolfram:


and many other sites:



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