Adobo:
In this formation, have you figured out a way for diver2 and diver3 to communicate to the diver1(lead) if diver2 and 3 both have to stop due to a problem?
The same sort of light signals used for 3-in-line work in this situation also. The same sort of 1st diver looking back to see the other two works the same as in 3 inline. In the case of the poster that started this thread, the weakness of the 3 in a line formation was that they had a relatively weak diver in the center, and he wasn't aware of the status of the 3rd diver.
The other dynamic about the delta/triangle formation is that a sudden out of gas emergency by either of the trailing divers is easily taken care. If the lead diver has a problem, he simply stops and the others will just naturally end up on either side of him.
I do a lot of diving in groups of 3 with unknown divers, usually because I've shown up on a boat without a buddy and end up joining an existing buddy team. I've found that the delta formation is by far the easiest way to dive, particularly when moving along at a pretty good speed.
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Another thing to consider is where to put the weakest diver. Perhaps somewhat counter-intuitively, many times I have had better dives with the weakest (or slowest) diver in the lead. This is particularly effective when diving with couples where the husband is used to finning rapidly in every which direction while never looking back, expecting his wife to follow. After a 1st dive like this, I'll suggest that she lead the second one. (Yes, this is a sexist remark, but I've never experienced a case where the wife was oblivious to the husband)
New divers sometimes have to work very hard to keep up with a more experienced diver. It just adds to their general level of anxiety, and makes them hoover down their tank even faster. A useful alternative that I sometimes use is to allow the new diver to lead and set the pace. I remain responsible for knowing where the boat/exit is, and will give indicate the proper general direction of travel occasionally and also control the overall dive for things like turnaround and ascent, but the new diver gets to "follow his nose" and wander back and forth as he desires.