Nealhood, No, there's no inverting these puppies. You'll see why instantly if you glance at a picture of them. They have large bass modules at the bottom, and the planar portion of the speaker is a panel which rises from the bass module. They would never stand iverted. As to possibly inverting the panel, there would be no advantage to it. I believe you'd get the identical sound either way, and it would be a major pain to get it to assemble that way - basically, you'd have to re-engineer the panel.
The pairs are simply stood side by side. It is, imho, important that the tweeter units be together on the inside and the midrange drivers be on the outside of each pair. So, each set of speakers L or R would have drivers horizontally as follows: Mid Tweet Tweet Mid Someone suggested it would be similar to a gigantic "uni Q" driver made by KEF.
I know one thing, it sounds terrific, fabulously detailed and rich, far more so than can be achieved with only one pair of LFT's. Seems odd that doubling the speakers should do this (of course, there's far more than just doubling the speakers - I also had to add twice the interconnects, speaker cables, main outs from preamp which meant a different pre, and channels of amplification).
However, one of the best speaker systems I have ever heard, bar none, was the $70,000 Linn setup at Glen Poors in Chicago. It was driven by I believe 21 channels of amplification. Three amps for each speaker in 7.1 surround. I think the sub was self-powered. Whoa. That was amazing. It seems the multiplication of amps also contributes to the major difference in perception of the sound. I know one thing, with additional amps, the sense of power in the music soars!
I can't conceive of another speaker system for the cost with anywhere near the impact, awesomeness and breathtaking beauty of the "stacked" LFT's. To think that one can find these speakers well under $1k per pair used on Agon, as I did, and put together such remarkable mains is euphoric!