I would imagine a large but narrow rim would be the best (in terms of lowest rolling resistance).
As an extreme example, imagine a cartwheel with a low profile skinny tyre.
I wonder what a tyre shop would say if you went in and asked for a 115/50/21
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I watched an interesting Discovery Channel program a while ago about the pneumatic tyre.
Logically, I would have thought a solid tyre on a solid rim would be the most efficient, but it doesn't work like that. If you hit a bump with a solid tyre, you use a lot of energy to lift the whole vehical vertically to get over the bump.
A nice absorbant tyre means the vehical doesn't lift up as much, as this vastly improves efficiency.
Suspension being equal, I would think a fat narrow tyre would offer the least rolling & wind resistance.
MVP
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As an extreme example imagine a cartwheel with a low profile skinny tyre.
My granddads pony-powered trap certainly had large diameter wheels fitted with low profile rubber rims. The ride was most uncomfortable.
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