@swampwiz, it needs to be pointed out here that PF is not a question-and-answer site, but rather a place for discussions in general on science topics. Naturally, during the course of a discussion, questions will be raised, mainly in an attempt to clear up points on which one might not be clear.
So, people are encouraged to do their own research, either online or in a library: self-help and self-education are key here. I would encourage you to do some research yourself on the subject of the ALMA observatory, and on radio interferometry in general. Basing a series of questions on what one has gleaned from a TV show is at least a start, but you really should now start making the effort on your own to research such topics.
In this vein, you could Google such topics as:
- ALMA observatory antenna placement,
- ALMA observatory antenna docking pads,
- ALMA observatory observation run,
and so on. Follow links thrown up by the Google searches; do not expect to be spoon-fed.
In the course of conducting such searches online today, I came across the following:
you may find these helpful and illuminating.
Can I presume that the set of telescopes that are to be used to view a single object are at least in a circular pattern?
Why would you wish to presume this? Do you imagine that radio interferometers need to have their individual dishes to be placed precisely on the circumferences of circles or squares? Quick answer is that they don't: it's sufficient that their positions are known to a high degree of accuracy.
Here's the VLA in New Mexico:
and here's the ALMA array in Chile:
and here a plan of some of the antenna pads at ALMA:
which displays antenna pads on a logarithmic radial scale: nonetheless, you'd be sorely challenged to find a group of more than one or two which sit on an arbitrary circle.