Hi JJ, the point pattern in a LUT is the 'inverse' of the display properties.
So, if a point has move further into the cube (move further 'inside' the cube)it is showing the measured point on the display had too much 'colour' (gamut/saturation), and the LUT is reducing it.
If a point has moved towards the outside of the cube is is showing the measured point had too little colour... Points squashed at the edge of the cube show where the display is under gamut overall (same as the points in the CIE diagram being 'within' the target gamut).
I'll work on a crib-sheet page for the website!
But, a way to see what different point movement means is to make a 'New' LUT (File/New) and then use the 'LUT Manipulation' tools to see what effect changing Saturation, etc, has on the cube.
For full Display Characterisation there really isn't a way to know what size cube profile is needed - a rule of thumb is the worse the display the larger the point size required...
Mob Boss at Light Illusion