I'd love to make a hat just like this- I just need a pattern!
Quick and dirty from zooming in on the photo:
C6F: slip 3 sts to cable needle, hold in front, knit 3, knit 3 from cn
C6B: slip 3 sts to cable needle, hold in back, knit 3, knit 3 from cn
Cast on 32 sts (this suggests a super bulky yarn and very big needles)
Rnd 1-7: k1, p1
Rnd 8: increase 10 stitches evenly spaced (42 sts) - The hat in the photo increases in the purl columns
Rnd 9-19: knit
Rnd 20: C6F
Rnd 21-31: knit
Rnd 32: k3, *C6B, repeat from * the last cable will use the first three stitches that were just knit at the start of the round
Rnd 33-43: knit
At this point I can't see the crown of the hat. So I suggest finding a hat with a similar gauge and using the decreases from that. The decreases are pretty abrupt so maybe try:
Rnd 44: k2tog, k2, ssk
Rnd 45-47: knit
Rnd 48: k2tog, ssk
Rnd: 49-50: knit
Rnd 51: k2tog
Fasten off remaining 7 stsRound 8 note
: You need a multiple of 6 stitches for the cable pattern so you can either increase to 36 or 42 on this round. There are three clearly visible increases in the photo which is a bit confusing because using the scheme we see there should be 8 increases (to 40 sts) which does not make a multiple of six.
If you increase to 36 stitches you will have 6 cable crossings in a round, 42 will give you 7. The photo suggests there are 6 since we see 3, but also that the increases were to 42. There may be one knit stitch between each cable crossing, allowing for 6 crossings in a round of 42 stitches, in that case round 20 would be "C6F, k1" and round 32 would be "k3, *C6B, k1 repeat from *" and will use only 2 of the initial knits.
That's my best guess at least with the photo and what little time I have before I take off on vacation.
It looks like a stockinette crescent shawl with several rows of garter stitch at the bottom edge and perhaps three rows of spaced and staggered eyelets above that. You definitely want something with a pronounced curve where the bottom edge is a lot longer than the top, that's how you get the ringlet sort of curls on the dangling ends.