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Seems more like 5 axis than 5 dimensions.
Sounds like a slice through the crystal that can be moved up and down and rotated through 2 angles (eg roll and pitch)
5 axis and 5 dimensions are essentially the same thing, right? A 2D graph has 2 axes, a 3D one has three, 4D graph can be shown with colour representing the 4th axis, etc.
Yeh, axis was the wrong term. I was thinking degrees of freedom.
However, I misunderstood the concept.
The extra dimensions are basically optical manipulation, like the other comment says with the red and blue lenses.
I thought it was more about the crystals attitude. So in addition to x, y and z, you also have alpha, beta, gamma.
Which would be 3 dimensions/axis with 6 degrees of freedom