If you look at the hat in profile, the amount the front and back of the crown leans inward is the "taper". If the crown leans outward at the front and back, it's called "reverse taper".
Usually the sides are not being referred to.
The amount of taper is due to the block used when the hat is made, the height of the crown, how it's styled, and hopefully not due to weathering/use.
Joel



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