Klein Bottle Hat Crochet Pattern. The projective plane is the surface obtained by attaching a disc to a möbius band along the boundary. To be sure of the construction i first made the hat in paper, then in fabric, then cut it apart and joined it back.
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The picture at the top of page 3 of a knitted. After i crocheted whitney umbrellas, i got excited that i figured out how to crochet through an existing layer of fabric. An alternative way to think of a klein bottle is to glue the ends of a tube together in opposite directions.
I used this approach to crochet a klein bottle hat, using. Get inspired by this unique and mathematical knitted klein bottle hat. I was inspired to develop this pattern after reading this article on mathematics & knitting.
To be sure of the construction i first made the hat in paper, then in fabric, then cut it apart and joined it back. The picture at the top of page 3 of a knitted. After i crocheted whitney umbrellas, i got excited that i figured out how to crochet through an existing layer of fabric.
But by folding a klein bottle right you can make a useable hat.