Klein Bottle Hat Crochet Pattern

Klein Bottle Hat Crochet Pattern. Includes clear directions for two versions (of the many debbie has developed. Get inspired by this unique and mathematical knitted klein bottle hat.

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Get inspired by this unique and mathematical knitted klein bottle hat. Includes clear directions for two versions (of the many debbie has developed. To be sure of the construction i first made the hat in paper, then in fabric, then cut it apart and joined it back.

After i crocheted whitney umbrellas, i got excited that i figured out how to crochet through an existing layer of fabric. The projective plane is the surface obtained by attaching a disc to a möbius band along the boundary. I used this approach to crochet a klein bottle hat, using.

But by folding a klein bottle right you can make a useable hat. An alternative way to think of a klein bottle is to glue the ends of a tube together in opposite directions. The picture at the top of page 3 of a knitted.

I was inspired to develop this pattern after reading this article on mathematics & knitting.

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