I have had a request for this pattern. I didn't follow a written pattern but I can tell you pretty much what I did..
I probably used an H hook, and 9 (?) different colors.
1st row...ch 4, work 3 dc in 4th ch from hook, join to the top of a the chains with a sl st....when working the sl st I changed colors by pulling up a new color .
2nd row...ch 3 and work a dc in the same place, then dc around, join with a sl st changing colors again..
3rd row - 45(?)...repeat row two, increasing each time and changing colors....I went about 45 rows I think...unti the cap was wide enough for her head.
The next 9 rows or so I just worked even dc around each row, and changed colors when I joined the rows..The last row I did not change colors but continued in the same color for the ribbing.
To work the ribbing, I chained two at the beginning of the row, and the worked a dcfp (double crochet front post) and then a dcbp (double crochet back post) around, joined with a sl st, and then repeated that row.