This is a relatively simple lace pattern I have suggested to several people. It makes a triangular shawl.
Cast on 3. knit back.
All even rows are knit.
1) k1, YO, k1, YO, k1
3) k1, YO, k3, YO, k1
5) k3, YO, k1, YO, k3
This gives you three border stitches on either side which will always be knit.
7) k3, YO, knit until 3 stitches remain, YO, k3
9) k3, YO, k1, YO,*S2kp; YO, k1, YO; repeat from * until 3 stitches remain, k3
repeat rows 7 through 10 until "large enough". Knit 4 rows and bind off loosely.