When we think about the shape of Pochven, our minds are usually drawn towards an even-sided triangle, with the three home systems sitting at the tips. See dotlan for example.
However, we should remember that this is not what Pochven actually looks like. Pochven actually looks like this:
After all it is a rather random selection of system plucked away from all across empire space, connected into a new region by the enigmatic, advanced technologies of the Triglavian Collective. Yet while disconnected from the gate network, they still remain in the positions they have inhabited since the game was launched.
Why is this important? Well, it allows us to calaculate the geographical center of a region by averaging out the ( x | y | z ) coordinates of the systems making up said region. Luckily we can determine this geographical center without any maths, because CCP does the maths for us. On the map, the name of any region is drawn on its geographical center.
For Pochven, this geographical center lies in a void between the regions of Metropolis and Heimatar:
And would you look at that:
All three of the Stellar Transmuters are in close proximity to the geographical center of Pochven, with Turnur in particular being closer to it than any other system. Now they are not quite the three closest transmuter-eligible stars, but I find it hard to find this configuration a mere coincidence. After all, if the Amarrians wanted to use these transmuters to simply harvest resources, why would they build them in
systems nominally belonging to a hostile government. They even have a perfectly viable transmuter back in Arshat, deep within Amarrian home territory guarded by innumerable warfleets. Building such potentially critical infrastructure projects right where your arch-enemy can steal them is ill thought-out.
Unless said infrastructure needed to be built in exactly these locations. Because the transmuters were never intended to harvest resources, at least not as a primary function. The Amarrians are, in ways that are yet to be revealed to us, trying to interact with Pochven.