Crocheting Hyperbolic Planes


This website was originally created for students in an upper division college geometry course, for a lesson on hyperbolic geometry. The lesson plan included learning to crochet hyperbolic planes. Anyone interested in the subjects of hyperbolic geometry, crocheting, math education, fiber art, sustainability, or the intersection of math & art, is welcome here!



You will see a carousel “scroll bar” across the top of this site.  Use that to navigate to the pages you need to access. It scrolls from side to side so be sure to click on the arrows to see everything.

STEP 1: Start by clicking on “Why Crochet Hyperbolic Planes?”.  Feel free to browse through that page and be sure to watch the video The Beautiful Math of Coral.

STEP 2: If you don’t know how to crochet, click on the link in the carousel labeled How To Crochet For Beginners.  Watch the 5 minute video and then begin by practicing the chain stitch.

STEP 3: Finally, click on Homework Instructions and create the two models you find there.  You are also welcome to try making the optional hyperbolic space models if you’d like.

The rest of the items in the carousel and the links on the sidebar are there for you to browse if you’re interested in further exploring the use of crochet artwork in math education.




Fiber Art Crochet

Enjoy some fun with fiber art crochet!

Gallery of Freeform Crochet by Prudence Mapstone

Check out the Crochet Art of Joana Vasconcelos


Check out photos of a variety of Crochet Sculptures


Check out these stunning crochet art images by artist Agata Olek: Olek Fiber Art


Check out Daina Taimina’s Fiber Sculptures


Gabrielle Meyers’ Hyperbolic Surfaces

Hyperbolic Surface

. .

Hyperbolic Geometry on Pinterest

Pinterest is an online pinboard for organizing and sharing things you love


Fiber Art Crochet Pieces

by Susan Darge Lombardo