Scarf:
Cast on 8 sts.
Row 1: K4, P4.
Continue knitting in rib for 11 more rows.
Row 13: P4, K4, cast on 4 sts. (12 sts)
Row 14: K4, P4, K4.
Continue knitting in rib for 10 more rows.
Row 25: K4, P4, K4, cast on 4 sts. (16 sts)
Row 26: K4, P4, K4, P4.
Continue knitting in rib for 10 more rows.
Row 37: *P4, K4; rep from * to end, cast on 4 sts. (20 sts)
Row 38: K4, *P4, K4; rep from * to end.
Continue knitting in rib for 10 more rows.
Row 49: K4, * P4, K4; rep from * to end, cast on 4 sts. (24 sts)
Row 50: *K4, P4; rep from * to end.
Continue knitting in rib for 10 more rows.
Row 61: *P4, K4; rep from * to end, cast on 4 sts. (28 sts)
Row 62: K4, *P4, K4; rep from * to end.
Continue knitting in rib for 10 more rows.
Row 73: K4, *P4, K4; rep from * to end, cast on 4 sts. (32 sts)
Row 74: *K4, P4; rep from * to end.
Continue knitting in Checkerboard Rib stitch, counting rows 73 and 74 as rows 1 and 2 of pattern stitch.
Work a total of 7 repeats of the 24-row pattern.
Next row: Bind off 4 sts, P4, *K4, P4; rep from * to end. (28 sts)
Continue knitting in rib for 11 more rows.
Next row: Bind off 4 sts, *P4, K4; rep from * to end. (24 sts)
Continue knitting in rib for 11 more rows.
Next row: Bind off 4 sts, P4, *K4, P4; rep from * to end. (20 sts)
Continue knitting in rib for 11 more rows.
Next row: Bind off 4 sts, P4, K4, P4, K4. (16 sts)
Continue knitting in rib for 11 more rows.
Next row: Bind off 4 sts, P4, K4, P4. (12 sts)
Continue knitting in rib for 11 more rows.
Next row: Bind off 4 sts, P4, K4. (8 sts)
Continue knitting in rib for 11 more rows.
Bind off remaining sts.