As you have observed, there are a wide variety of 3D printers. But there are some parts they all have in common.
The printing bed is what the 3D object is built upon.
The printing head holds the laser, the printing jet, or the hot end of the extruder.
And then there are controls to position the printing bed and the printing head in relation to each other; one control for the X dimension, one for the Y dimension, and one for the Z dimension.
There are no hard and fast rules for which controls the printing bed and printing head have. The Cube printing head is controlled in the X dimension only and the printing bed is controlled in the Y and Z dimensions, whereas the MendelMaxPro puts X and Z controls on the printer head and ...