Triangulate a Hat

Experiments have started. I knit my first gaugeless hat with two triangles. Just cast on until it goes around my head at the bottom of the first triangle and then work a second triangle. No need for gauge or stitch numbers. Good for car knitting as you can see. Lots of plain knitting.

 Now it gets folded in half sort of. And attached.

Now I have a tube which is great but I thought it would be a little taller. It needs some height if there is to be a turned over brim which is what I like in a hat. I tried adding at the top for a crown.

Nah. Didn't like that so it got frogged. Then I added some length at the bottom. The length would be the amount of turn back for the brim or the amount of height needed for a slouch style hat.

That seems to make more sense. There is now a brim for a slouch hat worn as is or a turned back brim.

Now to figure out what to do with the top for the crown. I could leave it for kitty ears but I'm looking for a couple more ideas. Do you have something that worked on a hat made in a straight tube?
Deb