you can make a flat pointy hat (think of Santa, not the wicked witch of the west) rather easily
If you are working in the round:
divide by 2
Knit till you are 2 stitches before marker, SSK, (or K2tog) slip marker, and K2tog, (or ssk) continue (in pattern if any) till you are 2 stitches before second marker.. (decrease again
next round, work plain (no decreases)
continue decrease 4 every other round till you have 4 stitches, K2tog twice, and then bind off last 2 stitches.
(see an example here) the sample was made with thick/thin yarn, but the shape is flat pointed hat.
if knitting flat, K1, K2tog, knit to 2 stitches before mid point, decrease, slip marker, decrease, knit till 3 stitches remain, decrease, k1.. (purl next row, with no decreases)
bind off when 4 stitches remain, sew seam (it will be a side seam)
if you want a pointer hat decrease only only ever 3rd or 4th round (not every other round)