Before creating your own Hyperbolic Plane, one must first learn basic crochet skills such as:
how to make a chain and how to single crochet.
For additional assistance on learning how to make a chain and single crochet, click the following links for instructional videos:
Once you learn those two crochet skills, it is time to move on to the Hyperbolic Crochet.
Follow the next steps to create a the Hyperbolic Plane:
Step 0. Obtain some yarn and a hook (size G will be fine).
Step 1. To crochet a basic hyperbolic model, begin with a line of chain stitches. Between 15-20 should be fine.
Step 2. Pick a “magic number”, 5 will work fine for your first hyperbolic plane (keep in mind, the smaller the number, the bunchier it will be).
Step 3.Begin the first row by crocheting 5 stitches then increasing in the fifth stitch (crochet twice in the same loop). Repeat the following pattern: crochet 5 stitches, increase 1; crochet 5 stitches, increase one - until the end of the line.
Step 4. At the end of the line, make one extra chain loop.
Step 5. Turn around and repeat the pattern in the next row and all other rows.
The following links provide more explanation and detail:
Hyperbolic Crochet Video by the Institute for Figuring
Crocheting the Hyperbolic Plane by Professors Taimina and Henderson
Crochet Hyperbolic Corals by the Institute for Figuring
Contact Dr. Lawton for further assistance if needed.