One of the controls in Materials sets the type of mapping (I think). Lots of times, I see this set to 'Parametric'. There's a lot more options, such as 'world cubic (for Wings models among other things), etc). Don't have Bryce in front of me now, but  the control I mentioned may alter the pattern.

There's other controls to affect the way the pattern gets portrayed in the DTE, but I barely understand it as it is (Deeply Troubling Excersize..;)

 

I wish I'd said that.. The Staircase Wit

anahl nathrak uth vas betude doth yel dyenvey..;)