That's a lovely hat, @fiberfrau !
I wish I had had access to that book when I was desperately trying to make a hat for my eldest early last year ; she promised a friend I could make her that 'jughead' hat... :D
Without a pattern I improvised ! I used this knitty pattern
http://knitty.com/ISSUEsummer05/PATTtychus.html
and worked out how to make the crown... It was hard and those short rows don't look that great... but it got made and liked (a lot) apparently... Here's the photo I took before giving it away.... Needless to say I kept no notes on how I made it... I would like to see that book you refer to :
https://www.amazon.com/DomiKNITrix-Whip-Your-Knitting-Shape-ebook/dp/B0056JUEPQ
Your hat looks pretty close to the book's design. Mine ended up a little too limp, so I will use a tighter gauge next time I make one.