关于保持顺时针螺旋结构的前提下制作逆时针卷曲钩织角的几何可行性及图案修改方案问询

Hey folks,

I thought I was somewhat good at maths but this problem has defeated me. I'm now starting to wonder if what I'm trying to do is even geometrically possible, and I don't know how to work it out.

我的需求背景 #

I'm trying to modify a crochet pattern for a 3D curled horn to make a mirrored version (counterclockwise curl), but with a key restriction: the underlying spiral (the way the rows are arranged) has to stay a clockwise spiral. Switching to a counterclockwise spiral would mean working left-handed or inside-out, and neither is realistic for this pattern.

原图案的结构说明 #

The original pattern creates a clockwise-curled horn, built as a clockwise spiral starting from the tip and ending at the base. The "rows" (spiral segments) fall into two types:

• Row Type 1: Same stitch count as the previous row, with varying height along its length—first part uses taller stitches, second part uses shorter ones, with the taller section always being longer.
• Row Type 2: Longer stitch count than the previous row, with increases added at 3 equidistant points along the row. This row has uniform height throughout.

钩织符号说明 #

For anyone unfamiliar with crochet shorthand:

• sc: Single crochet, the standard square "pixel" stitch
• hdc: Half double crochet, a taller vertical rectangular stitch (same width as sc)
• sl: Slip stitch, a shorter horizontal rectangular stitch (same width as sc)
• Rounds with 2 sc in the nxt st are increase rounds, adding one stitch per increase (placing 2 stitches on top of 1 from the previous round)

完整原图案 #

Rnd 1: 6 sc into the ring. – 6 sts
Rnd 2: 1 hdc in ea of the next 3 sc, 1 sc in ea of the next 3 sc. – 6 sts
Rnd 3: Rpt Rnd 2.
Rnd 4: Rpt Rnd 2.
Rnd 5: (1 sc in the next st, 2 sc in the next st) 3 times. – 9 sts
Rnd 6: 1 hdc in ea of the next 5 sts, 1 sc in ea of the next 4 sts. – 9 sts
Rnd 7: 1 hdc in ea of the next 5 sts, 1 sl st in ea of the next 4 sts. – 9 sts
Rnd 8: Rpt Rnd 7
Rnd 9: (1 sc in ea of the next 2 sts, 2 sc in the next st) 3 times. – 12 sts
Rnd 10: 1 hdc in ea of the next 6 sts, 1 sl st in ea of the nxt 6 sts. – 12 sts
Rnd 11: Rpt Rnd 10
Rnd 12: 1 sc in ea st around. – 12 sts
Rnd 13: (1 sc in ea of the next 3 sts, 2 sc in the next st) 3 times. – 15 sts
Rnd 14: 1 hdc in ea of the next 9 sts, 1 sl st in ea of the next 6 sts. – 15 sts
Rnd 15: Rpt Rnd 14
Rnd 16: 1 sc in ea st around. – 15 sts
Rnd 17: (1 sc in ea of the next 4 sts, 2 sc in the next st) 3 times. – 18 sts
Rnd 18: 1 hdc in ea of the nxt 12 sts, 1 sl st in ea of the nxt 6 sts. – 18 sts
Rnd 19: Rpt Rnd 18
Rnd 20: (1 sc in ea of the next 5 sts, 2 sc in the next st) 3 times. – 21 sts
Rnd 21: 1 hdc in ea of the next 13 sts, 1 sl st in ea of the next 8 sts. – 21 sts
Rnd 22: Rpt Rnd 21
Rnd 23: (1 sc in ea of the nxt 6 sts, 2 sc in the nxt st) 3 times. – 24 sts
Rnd 24: 1 hdc in ea of the nxt 16 sts, 1 sl st in ea of the nxt 8 sts. – 24 sts
Rnd 25: Rpt Rnd 24
Rnd 26: (1 sc in ea of the next 7 sts, 2 sc in the next st) 3 times. – 27 sts
Rnd 27: 1 hdc in ea of the nxt 18 sts, 1 sl st in ea of the nxt 9 sts. – 27 sts
Rnd 28: (1 sc in ea of the nxt 8 sts, 2 sc in the nxt st) 3 times. – 30 sts
Rnd 29: 1 hdc in ea of the nxt 20 sts, 1 sl st in ea of the nxt 10 sts. – 30 sts
Rnd 30: (1 sc in ea of the nxt 9 sts, 2 sc in the nxt st) 3 times. – 33 sts
Rnd 31: 1 hdc in ea of the nxt 22 sts, 1 sl st in ea of the nxt 11 sts. – 33 sts
Rnd 32: (1 sc in ea of the nxt 10 sts, 2 sc in the nxt st) 3 times. – 36 sts
Rnd 33: 1 hdc in ea of the nxt 24 sts, 1 sl st in ea of the nxt 12 sts. – 36 sts
Rnd 34: (1 sc in ea of the nxt 11 sts, 2 sc in the nxt st) 3 times. – 39 sts
Rnd 35: 1 hdc in ea of the nxt 26 sts, 1 sl st in ea of the nxt 13 sts. – 39 sts
Rnd 36: (1 sc in ea of the nxt 12 sts, 2 sc in the nxt st) 3 times. – 42 sts
Rnd 37: 1 hdc in ea of the nxt 28 sts, 1 sc in ea of the nxt 14 sts. – 42 sts
Rnd 38: Working in both of the top loops, 1 Sl st in each st around. Cut yarn and tie off, leaving a long tail for sewing.

我的核心疑问 #

Is it geometrically possible to flip the curl direction to counterclockwise while keeping the spiral itself moving clockwise? If yes, how would I adjust the stitch patterns (swap the tall/short stitch sections? Reverse where the increases are placed?) to make this happen?

备注：内容来源于stack exchange，提问作者Natalia Zoń