The only thing I can come up with (this is just my spur-of-the-moment theory) is that having spokes directly opposite one another could contribute to flexing and hinder even distribution of loads....but not much. I would be MUCH more concerned with build quality and thorough testing, along with looks. :biglaugh:
In my mind, there's something about NOT having no two spokes parallel to each other that seems like it could be stronger in
certain situations.
For example; I'm imagining a four-spoke wheel on a car going around a corner, if you freeze what's going on when all spokes are either perfectly horizontal or perfectly vertical and look at the forces on the rim/wheel on the side of the car facing the outside of the corner, you have the ground pushing the bottom lip of the rim toward the car and the inside of the turn, see the
red arrow. Since the lip of the rim is a strong cylinder it will distribute forces to all the other spokes which then transfer force to the axle, holding the car.
Looking from the back of the car in 2-d, shown in the bottom of my picture, the axle serves as a sort of fulcrum
((star)), where the bottom spoke is being pushed toward the car and the rim bends the top spoke(s) outward, away from the car. Its easy to see this on toy cars with loose wheels. push the bottom in, the top will come out a bit. (Don't even factor in suspension we're just looking at the wheel, hub, and road)
Dont laugh, its a quick drawing
Looking at the top circles that represent the view of the outer face of rims with four and five spokes, i colored them to roughly resemble how i see lateral forces being distributed. The
red is force toward the car,
green is pushing away from it. brighter represents more force.
Neglecting all other forces
besides the lateral ones, the 4 spoke rim relies on the top and bottom spokes to hold all the loads, leaving the horizontal spokes to do nothing. In the 5 spoke rim you have more distribution, and no single spoke has to hold 1/2 of the forces being applied and no spoke is left to do nothing.
So in my comparison, i was only comparing 4 and 5-spoke rims. 6 would be better, 10, even more, and so on and so forth.... I dont even know about three...but at the moment I dont think i've ever liked any true 3-spoke designs anyway.
In the general scheme of things though, (I don't have any
real idea, remember I'm speculating) I'd say that two rims manufactured to the same standards using similar materials will be similarly strong. comparing them
exactly seems like comparing apples and oranges unless the rim with more spokes also has thinner spokes....in which case you're still testing how well forces are distributed. More spokes would be better, even or odd. The only case that might be weaker seems to be 4-spoke rims and that probably isn't an issue unless they're made poorly....in which case it wouldnt matter how many spokes you have.