Composite designs for fitting second-order response
surfaces were first introduced by Box and Wilson (1951) and followed up by Box
and Hunter (1957). A composite design, shown in Figure 1, consists of a 
factorial or a 
fractional factorial portion, with
runs selected from the runs 
usually of resolution V or higher,
plus a set of 
axial
points at a distance 
from the origin, plus 
center points. Thus, we have a total
of 
points. In general,
the portion (or cube)
may be repeated 
times
and the axial points (or stars) may be repeated 
times. The value of , and are to be selected by the
experimenter.
However, the computer experiments do not require the repeated samplings because they have absolute repeatability. The Face Centered Central Composite Design is that all the axial points are projected on the surfaces.
Figure 1 A Face Centered Central Composite Design for
