I think you might find that the Teletubbies have already solved this problem, in a variety of different configurations, including the rigid and curly antenna yo

I think you might find that the Teletubbies have already solved this problem, in a variety of different configurations, including the rigid and curly antenna you mention above. The benefits of the circular and triangular configurations are as yet unclear to me, but I'm sure the Voice Trumpets and Sun Baby know what they're doing.