The BES "Geostatic" was a little more successful, and then Sumo, and Meitner had a go of the same idea... both much better than either the Yamaha, or BES, but still not earth movingly good. The idea behind the odd shape was to limit standing wave cancellation affects across, what was in effect, a transmission line. The "acoustic hammer" worked against the panel causing it to resonate. The resonant frequencies varied by panel thickness, and length. So, higher frequencies were broadcast from the areas closer to the sharper corner(s), and the lower came from the more open areas. Basically, the idea was to create ripples across the panel, and shape the panel (both with thickness, and the asymmetrical diameter) to keep reversed waves from cancelling out the primaries. The Sumo & Melior speakers used Mylar, while Yamaha & BES used Styrofoam. IIRC, there were a few other designs over the years that used wood, and I think at least one that was some type of acrylic.