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Wondering if the angle between two space diagonals of a cube, which are lying in one plane have always the same angle.
I have now calculated a lot but become somehow confused and cant get a definite answer.
Any pair of space diagonals lies in rectangular section of cube, and this rectangle has edges A and A * Sqrt(2), where A = cube edge length. So the angle between two space diagonals of a cube is always the same (ArcCos(1/3))