Hyperbolic Crochet

My name is Madison Boyer, and I am a Junior at Westfield State University studying mathematics with a focus in secondary education. I have been crocheting for about a month, which basically means I’m an expert. One of my roommates was teaching me the basics about a month ago, and as I was single crocheting my chain kept curling in on itself because my tension was too tight. My other roommate, who is taking a Math Applications course, started to talk about Hyperbolic Geometry because that’s what she was doing in class at the time. So, I decided to investigate crocheting and Hyperbolic Geometry. Before we get into the crocheting, let's talk a little bit about math. In your K-12 schooling, you’re taught what’s called Euclidean Geometry. In order for this blog to make sense we need to define what the terms line and parallel mean, and they’re not going to be what we traditionally think of. Line can be defined by the shortest path between 2 points. This is going to sound really weird, bu