Here it is drying with bubble-wrap in the brim. And here's how I bodged it!
I started with Emily Ocker's cast-on and EZ's instructions for the start of her Pi shawl from the Almanac book. When I felt I'd done enough flat, I reduced slightly (one in every 9 stitches) and then continued to knit down the sides. Then I did a series of increases over several rows, with some plain rows inbetween - 1 in 3, one in 4, 1 in 5 stitches increased etc. (Probably overdid this! Hence the slight gathering in the base of the brim). I did several (/3 - ?4) rows plain, then started to do decreases in a similar way to the increases before. Once more, probably over-decreased. I tried to hand felt - not enough, looked like a beret for a Sacha doll!Washed in our front-loader on 90*C with some old trousers - and viola! I trimmed off the cast off )too tight). I'll try to get a pic of me wearing it (if it is stiff enough to work - that's my worry!)