The gauge here is nominal because the fur fabric is very stretchy. The brim is knitted with a light worsted weight smooth yarn for stability. Bulky machines are easiest but a standard gauge version using every other needle also works quite well. This hat is part of an entire book on silly hats called Hats With Character Volume 2. Here is the table of contents for the entire book.

TABLE OF CONTENTS
Hem & crown options
Happy Hat in 5 sizes and 3 gauges. Sized for babies to large adults and works on any machine. Includes duplicate stitching instructions and smile chart
Snowman and Associates is the same basic hat design as the Happy Hat in the same sizes and gauges. Easy embellishment techniques create the faces
Frog Hat …..Built like Happy Hat with the addition of short-rowed eyes, duplicate stitched mouth & appliquéd tongue
Spider Hat…built like Happy Hat with the addition of eyes & legs
One Eyed One Horned Flying Purple People Eater in 8 sizes and 2 gauges to fit any wearer and be knitted on any machine
Monster Hat in 4 sizes for bulky and standard machines
Crowning Glory in 4 sizes that fit from children to large adults and 2 gauges, one of which will work on any machine. This is 4 versions of a crown hat
Pumpkin Hats in 9 sizes that fit from babies to large adults and 2 gauges, one of which will work on the standard, Passap, mid-gauge or bulky machine.
Turtle hat in 3 sizes with 17, 19, 21” circ. gauges for bulky and standard
Tips for furry yarns
Passap notes & notes on creating your own characters