"Nekar Xenos" <nek### [at] gmailcom> wrote:
> I wonder if the impossible triangle would be possible in 4d space. Looking
> at an animation of a rotating 4d cube makes it seem possible to me, but I
> don't have a clue if it is mathematically possible. .. and with straight
> sides of course.
To be honest, I have no clue. I find 3D often already hard enough to handle,
that I fear 4D is out of my league. So instead your question triggered me to go
down one dimension and so I started wondering if there are impossible 2D shapes
that can be drawn as illusions in 1D. Nothing fruitful came out of that exercise
though... ;-)
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