Crocheted Hyperbolic Plane (scarf)

For Science!, Geek Fashion

Do you love math?  Live in a cold climate?  If so, may I suggest crocheting yourself a hyperbolic plane, which is conveniently also wearable as a scarf.  It’s a lovely representation of hyperbolic geometry, with the added bonus of being a simple and easy project.  I was searching for nerdy scarf patterns when I came across the Crochet Coral Reef project: start with a chain and increase every nth stitch to obtain any number of interesting shapes.  Er… no pun intended.

Here’s what the result looks like with bulky weight alpaca blend yarn, a size K/6.5 mm crochet hook, and an increase every 4th stitch.  I’m not sure I’m totally happy with the scarf, as I made it too long and it’s rather heavy.  I may frog the whole thing and start over with a larger hook, but in the meanwhile I have something to keep me warm and toasty until spring comes back.


Or, with your leftover yarn and a size H/5 mm crochet hook, sc x 6 in a magic ring and increase every stitch to make a hyperbolic pseudosphere…

Hyperbolic pseudosphere crochet

2 thoughts on “Crocheted Hyperbolic Plane (scarf)

  1. Have you seen yesterday’s article on Scientific American named “A Mathematical Yarn: How to Stitch a Hyperbolic Pseudosphere” ? I just saw it and it instantly made me think of this!

    1. Loved that article! It doesn’t take long to make one of these… I recently made an airier hyperbolic plane scarf during a one-day road trip. A bigger crochet hook means way less time and a much lighter scarf: the first one I made weighed a ton :P

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