Sorry for the somewhat lousy representation but I think the point is made and set.
What is your preference in the frontal sillohette of a hat?
a) tapered sides (like on many modern hats)
b) straight sides - no taper
c) Mushroomed sides/reverse taper (think Raiders of the Lost Ark)
*I understand that there is some controversy with the reverse taper. The picture I have provided is a bit pathetic. What this really is symbolizing is a good mushrooming/inverted sides effect which can be accomplished by beating the crud out of a hat (like in ROTLA - Cairo scene) or by the bash, like a diamond crease with big dents. My Stetson has some nice reverse taper on the sides because of the diamond crease.
Hopefully I am longer considered to be a nut job...*
I apologize for the confusion of the OP. Hopefully I have fixed the issue.
Do your worst - and let's begin.
Jerekson