Am 23.07.2013 22:06, schrieb Nekar Xenos:
> On Mon, 22 Jul 2013 22:48:15 +0200, Nekar Xenos <nek### [at] gmailcom>
> wrote:
>
> If we take a vertical 2D slice of a tin can we get a rectangle.
> If we take a horizontal 2D slice of the same tin, we get a rectangle.
>
> So if we have a special shape that I will call a 4D Cylinder when taking
> 3d slices we can get a sphere or a block depending on which direction it
> is being sliced.

Somehow my intuition tells me that depending on how you construct your 
4D cylinder you would either get (a) a sphere or a cylinder (by 
extruding a 3D-sphere along the 4th dimension), or (b) a cylinder or a 
box (by extruding a cylinder along the 4th dimension), but not what you 
describe.

After all a sphere is curved in 2 dimensions, so in order to hide all 
curvature you'd need 2 extra dimensions, i.e. a 5D space.

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