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it is the affect of lobing on the FR.

dave
Lobing =/= Combing? How it physically happens, what's the difference in concretic terms?
That makes sense, but weren’t we talking about the outside.
Yes of course, for the pictured tetrahedral speakers, the benefit of the shape would be one less corner for the baffle compared to rectangular, wouldn't this mean less equal distances from a centered driver and thus less pronounced baffle gain for the frequencies whose wavelengths correspond to those equal lengths?
And no cabinet reflections frontwards from the "side walls" as they're really back walls.
 
I meant that the tetrahedron has the least kinks in its pattern overall. While the EM dodecahedron is really smooth at 2kHz, it becomes really shaped at 4kHz. The tetrahedron is on average closest to spherical.
I've seen similar speakers online, but never had a chance to listen to one.
Think anyone who could afford some took measurements in-room of the Burmester bending wave omnipolar speakers?