In an effort to make the surfaces in a multivariable calculus class tangible, this paper provides crochet patterns for 6 small models of quadric surfaces. We broadly outline the mathematical concepts behind our patternmaking process, explain how this led to our research in automating crochet patterns, and provide ideas for future directions. The patterns, discourse, and resources provided are useful for educational and artistic purposes. They provide tactile examples of surfaces discretized into patterns and applications of calculus to materials and design.