Klein Bottle Hat Crochet Pattern. The projective plane is the surface obtained by attaching a disc to a möbius band along the boundary. The picture at the top of page 3 of a knitted.
Source: physicsbuzz.physicscentral.com
An alternative way to think of a klein bottle is to glue the ends of a tube together in opposite directions. 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.
I used this approach to crochet a klein bottle hat, using. An alternative way to think of a klein bottle is to glue the ends of a tube together in opposite directions. 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. I was inspired to develop this pattern after reading this article on mathematics & knitting. After i crocheted whitney umbrellas, i got excited that i figured out how to crochet through an existing layer of fabric.
Includes clear directions for two versions (of the many debbie has developed.