Omni-dispersion geometry

A study of regular polyhedra reveals the tetrahedron (with drivers on each face) to have nearly spherical dispersion.
I was wondering if the same, or even better dispersion could be achieved by placing the drivers at tetrahedral angles on a spherical enclosure for more volume and to avoid diffraction at edges.

I’m designing an omni at the moment, first I thought to simply use the tetrahedron atop a triangular bass cabinet but the thought of bettering the design with a half sphere with three drivers at 19,47° angles from center of bottom and 120° from each other seems plausible… Though obviously a bit difficult to construct.
The three drivers do need volume and spherical geometry would maximize that.

Here’s how Decware and some others do the omni. I’ll bet the DIY forums might have someone who is considering or has tried your option.

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Sure, I know of all the branded omni technologies.
An approach with multiple broadband drivers with special symmetry is something I haven’t seen.

A funny thing: I calculated the angle from the vertex of a regular tetrahedron through the median of the opposite face (approx. 19.47°, precisely arccos((2/3)sqrt(2)), I googled the angle 19,47 and found only results related to “planetary merkabah” and such.
The hippies state that a bunch of ancient pyramids in North America are on this meridian, sunspots are most abundant on this meridian, also the neverending storm on Jupiter.
I don’t have the interest to confirm these claims but they sure do regard this angle as sacred in terms of celestial bodies.

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Ahhhh. Geodesic domes made really cool hippie houses. We had a bunch around here in the '60’s and '70’s. Now there are just a few left and they now have all the modern conveniences.

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agreed, “sacred” should not be a criteria for engineering design, usually best to ignore pseudoscience (aka not science but sounds cool and sci fi to those who don’t understand science) and question everything. the pyramids are probably using that angle for engineering reasons :slight_smile:

a geodesic domes speaker might look very cool though, which IS a valid reason for doing stuff sometimes :slight_smile:

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Would you suggest 3d printing the said geodesic dome of the speaker efficiently from structurally rigid material is the most cost-effective way of building a resonantly structurally rigid body for a speaker cabinet?.
How should I best round the corners?