[teddyh]

Colossus: The Forbin Project had videophones everywhere, but they were shaped like tiny terminals, placed on desktops, and there is at least one scene where a someone wants to use the device and moves it to face them, so the devices are not fastened.

[euroderf]

It also has A.I.s that concoct their own language so that they can conspire on the Q.T.

When does that happen ?

[teddyh]

At 21:50, 29:49, and at 33:08.

[EvanAnderson]

These sound similar to the video intercoms in Star Trek (1966). They sit on desktops and can rotate.

[teddyh]

Those can rotate, but they are not discrete units, and can not be moved around on the desk.