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Using hyperbolic theory to knit a holiday ornament

 

I can’t get around a math book without a calculator, and calculus was a real challenge for me, but I did sit up and take notice the first time I saw hyperbolic shapes made from knitting and crochet. I’ll let others explain the details of hyperbolic fabric, but in this post, I’ll show you how I made an interesting little pine cone based on “hyperbolic knitting”.

Yesterday we looked at little knit gift boxes knit with Classic Shades Frenzy. For my pine cone ornament, I used its sister yarn, Classic Shades Sequins Lite.

 

The sequins will sparkle when using this yarn to knit the pine cone ornament.
The sequins will sparkle when using this yarn to knit the pine cone ornament.

 

This little pine cone would be a lovely addition to any outdoorsy themed Christmas tree.
This little pine cone would be a lovely addition to any outdoorsy themed Christmas tree.

 

The hyperbolic pine cone ‘recipe’

With any yarn scraps you have and wish to use, and a pair of needles that is one size smaller than the one recommended on the ball band, cast on 6 stitches.

Row 1: K1, yo, k2, yo, k2, yo, k1. 9 sts

Row 2: [K2, yo] 4 times, k1. 13 sts

Row 3: Knit.

Row 4: [K2, yo] 6 times, k1. 19 sts

Row 5: Knit.

Row 6: [K2, yo] 8 times, k1. 27 sts

 

This little pine cone would be a lovely addition to any outdoorsy themed Christmas tree.
This little pine cone would be a lovely addition to any outdoorsy themed Christmas tree.

 

Row 7: Knit.

Row 8: [K2, yo] across to last st, k1.

Repeat last 2 rows until you have between 55 and 85 sts, according to your taste and the size you want.

Last row: *Bind off 4 sts, work bind off picot (see video below); rep from * across.

Fasten off and cut yarn leaving a 6″ [15cm] end.

Thread end onto a tapestry needle and weave the needle back and forth along the side toward the cast on edge, along the cast-on edge, and up the opposite side of the work towards the picot edge. Pull the thread to cinch up the fabric and secure the yarn with a knot.

Make 2 or 3 of these and join them together at the knot. Shape the gathered folds of fabric into spirals to produce an organic pine cone look.

 

This pattern gives a very organic look, and it might not even resemble a pine cone to some, but with different yarns and in a variety of colors, you can make some very interesting conversation pieces that will have a better story than the Christmas pickle.

 

Two hyperbolic pieces were joined at the "root" to make this pine cone ornament.
Two hyperbolic pieces were joined at the “root” to make this pine cone ornament.

 

 

This is part 4 of 5 in this series.
Go back to part 3: How to knit and finish sturdy gift boxes

About Charles Voth

I’m Charles Voth, a crochet and knitting professional. I enjoy reviewing yarns and tools to help others find materials that will help them be happy with what they stitch. I design garments and accessories and items for the home. I teach both crafts at yarn stores, in schools, and at craft shows and retail events. I am also a technical editor of both crochet and knitting patterns and illustrate the charts and diagrams that make pattern reading accessible to so many.

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