27
May
2013
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Shawl Geometry: Triangle with Wings

This is the seventh post (out of 16) in a series about different shawl shapes and how to knit them. The introduction post, which lays out the game plan can be found… thisaway.

 

The Right Triangle with Wings Top Down

The second variation on the traditional right angle triangle has “wings,” which makes the top edge of the shawl curve up around the shoulders helping the shawl stay in place more easily. This type of shawl is also occasionally called a heart shaped shawl, but I’ve always seen wings rather than a heart.

One way to create these wings in a top down shawl, is to work the traditional top down triangular shawl for the first half of the shawl, and then you increase one stitch every row along each edge (instead of every other row like you had been doing previously,) and continue increasing two stitches down the center back to create the spine.

Triangle Winged

CO 5 sts.
R1: K1, yo, k1, yo, pm, k1, pm, yo, k1, yo, k1.
R2: P across.
R3: K1, yo, k to marker, yo, sm, k1, sm, yo, k to last st, yo, k1.
R4: P across.
Repeat R3&4 until half way to your desired shawl depth.
R5: K1, yo, k to marker, yo, sm, k1, sm, yo, k to last st, yo, k1.
R6: P1, yo, p to last st, yo, p1.
Repeat R5&6 until your desired shawl depth.

DSC_5764-1

The Right Triangle with Wings Bottom Up

To create a bottom up triangle with wings is totally possible, but the math to figure out the number of stitches to cast on at your hem is a bit tricky. I found the easiest way to calculate the number of hem stitches was to think of the shawl in two halves: top & bottom.

For the top half of the shawl (which would be the second half you work) you’ll decrease 4 stitches every other row. For the bottom half of the shawl (the first half you work) you’ll decrease 6 stitches over two rows.

Triangle Winged Bottom Up

So determine your gauge and the desired depth of your shawl.
1. [depth of shawl] / 2 = Z
2. [Z] x [1.4142] = [magic number]
3. [magic number] x [rows per inch] = [number of rows total]
4. [number of rows] / 2 = [number of rows in each half of your shawl] AND [half number of rows in shawl]
5. [half number of rows in shawl] / 2 = [number of decrease rows in top half of shawl]
6. [number of decrease rows in top half of shawl] x [4 decreases per decrease row] = [number of stitches decreased in top half]
7. [half number of rows in shawl] / 2 = [number of decrease repeats in bottom half of shawl]
8. [number of decrease repeats in bottom half of shawl] x [6 sts decreased in each repeat] = [number of stitches decreased in bottom half of shawl]
9. [number of stitches decreased in top half of shawl] + [number of stitches decreased in bottom half of shawl] = [number of stitches decreased total]
10. [number of stitches decreased total] + [5 BO stitches] = [number of stitches to cast on]

CO the number of stitches you just calculated, marking the center stitch with a marker on each side.
R1: Ssk, k to 2 sts before marker, ssk, sm, k1, sm, k2tog, k to last 2 sts, k2tog.
R2: P2tog, p to last 2 sts, p2togtbl.
Rep R1&2 until half the number of total rows in the shawl have been worked AND the number of stitches decreased in the bottom half of the shawl have been decreased.
R3: Ssk, k to 2 sts before center, ssk, sm, k1, sm, k2tog, k to last 2 sts, k2tog.
R4: P across.
Rep R3&4 until half the number of total rows in the shawl have been worked AND there are 5 sts left for your BO.

The books this series spawned:
Shawl Geometry I: the math of shaping shawls for non mathy people
Shawl Geometry II: 16 more shawl shapes to design and play with
Shawl Geometry III: the relationships behind the numbers

 

The previous post: Shallow Triangles
The next post: Side to Side Triangles

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