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Originally Posted by M. Krass
Could you better explain what would be different about a "dish" as compared to a hemisphere?
I think you're suggesting that the wheel be made with an elliptical cross-section rather than spherical, but am not certain. An elliptical cross-section would still require a 90* rotation to move through its maximum ratio, but would reduce the movement needed to pass through the most practical ratios. It may be harder to manufacture, however.
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Wouldn't it also suffer from a variable ellipsoidal radius, meaning that the whole trunnion assembly would have to pivot to counteract the vertical motion of the centre shaft? It could be done with some sort of bar linkage, I think, but keeping the spherical radius constant is far easier.