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Here's a tiny top hat I designed for a creature friend.

I wrapped mine with black fabric and a tiny ribbon to make it look more like the real thing.

You can scale this to make it the right size for your little friend. The hat hole is 39mm x 52mm.

The pipe portion contains a cone at the top to make it printable without supports. The hat brim does need supports, however. To configure properly, set your "Support Overhand Angle" to 58 degrees. Otherwise you'll have an unnecessary support tower in the middle that will be very hard to clean out.