I've run my equipment (ok, not the shoes) through the dishwasher with good results. The dishwasher soap seems to work fine, but you MUST turn off the "Dry Heat" on the dishwasher or the extreme heat does bad things to the stuff holding the ball /core layers together.
Allow 24 hours to dry or the ball acts funny (don't mean ha ha).
Also, face the holes down...
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Pattern C; as in 'C'ough up some money, honey.