You are correct. It is possible to put many four way switches between
two three way switches to be able to turn the same light on and off with
many+2 different switches.
Ordinary On-Off switches have two positions; one off and one on
Three way switches have two on positions in which a "common" screw
terminal is connected to one or the other of two screw terminals
depending on the 3 way switch toggle position.
Four way switches have two on positions as well. Look at the following
diagram:
http://tinyurl.com/cv9dbc5
With the 4 way switch toggle in one position, the 4 way switch connects
the two upper screw terminals together and the two lower screw terminals
together.
With the 4 way switch toggle in the other position, the 4 way switch
connects the bottom left screw terminal with the top right screw
terminal and the top left screw terminal with the bottom right screw
terminal. That is, since three way switches provide two paths to the
same light bulb, 4 way switches turn the bulb on and off by redirecting
power to the other path.
And, so you can put an unlimited number of 4 way switches in to turn the
same light bulb on and off with each and every switch.
--
nestork