Moving control points without changing the shape

Hello

I want to change a simple shape (a parallelepiped) with control points using CageEdit command but I want the control points distributed equally on the surfaces. In a start position, I want them on the intersection points on my shape and not distributed like a “gauss curve”.

Is it possible to have them distributed evenly on the x and y axis? In other words, is it possible to move the control points without changing the shape, like you change the handle of the gumball tool without changing the shape?

In general no.
There are a few special case exceptions including:
.. A straight line
.. Interior control ponts of an untrimmed planar surface
.. For an untrimmed planar surface with a straight edge, the control points along the edge not at the corners.