Sometimes I wish that ,when I learned geometry in high school, I had seen the application to crochet. As an adult, I have many times quipped that had they taught us math through our crochet, or kntting, or quilting, or whatever needleart was our penchant, that many girls would have taken a shine to it. We all need to have what we learn be applicable to real life. Yes, I do remember lots (I just happen to have one of those memories), and I have my handy dandy cheat sheets to now remind me how to find the circumference of a circle or the length of the hypotenuese on a triangle. One geometric concept never taught, at least when I took geometry back in the 60's, however, was the hyperbolic plane. Intereestingly, crochet has been used as a wonderful hands on demonstration of this interesting shape which expands exponentially outward on itself (or should that be from itself). Please don't ask me to explain further - it's something I understand more with my intuition than with my cognition. But if you want more solid information, head over to
The Institute for Figuring for interviews with crocheting mathematicians and a gallery full of colorful examples.
Now, for my own project-- my Flower Power Bath Puff. Having tried out my own hook and yarn on creating a hyperbolic plane of my own, I decided that it would make a wonderful bath puff, or maybe a kitchen scrubby. This is a very simple pattern, simple enough for a beginner. And it is espcially suited for children learning to crochet. Really, they can't go too far wrong and with a little guidance, can create all sorts of wonderful treastures for themeselves or the friends and family on their holiday gift lists. And yes, adult crocheters can join in the fun, too.
Tip: Use a cotton/acrylic blend yarn for this project. It will hold it's shape better over the long haul than a 100% cotton puff and be softer on the skin than a 100% acrylic puff. Acrylic or nylon might be a good choice, however, for a kitchen scrubby when you want a bit more abrasiveness to remove the stuck on food from the dishes!