4" Wooden Mecanum Wheel

[Ether]

Originally Posted by TheOtherGuy

I found the cross section of two ellipses of vertical radius equal to the radius of the wheel and a horizontal radius of the wheel radius * sqrt(2).

The correct profile is actually closer to a parabola than an ellipse. If you're a purist, you might find these of interest:

roller profile parabola vs ellipse comparison:
http://www.chiefdelphi.com/media/papers/download/2750

parabolic profile roller projection to XY plane forms circular arc :
http://www.chiefdelphi.com/media/papers/download/2751

Equations for "bump-free" mecanum roller profile:
http://www.chiefdelphi.com/media/papers/download/2749

Win32 "bump-free" mecanum roller profile calculator:
http://www.chiefdelphi.com/media/papers/download/2770

bump-free mecanum roller equations (alternate derivation):
http://www.chiefdelphi.com/media/papers/download/2777