Hyperbolic Cashmere Necklace

This necklace is one example of hyperbolic crochet. This necklace was made of cashmere yarn with a trailing thread of lurex. The hyperbolic balls are threaded on a crocheted chain and tied to form a necklace. Hyperbolic crochet blends crochet stitches with mathematical formulas to turn a 2D object (length by width)  into a 3d object (length by width by depth). In doing hyperbolic crochet, several chained stitches are formed into a circle, then each chain receives one or more single crochet stitches, continuing around and around following the same pattern of increases until a ball is formed due to mathematical principles of space. For the necklace, there were 3 increases in every stitch. It will also work with increases in 1 or two stitches and regular stitches in all others. The pattern must continue throughout the work. Depending on the yarn or thread, the stitch style (single, double, half double, etc.), the hook, and personal thread tension a vast array of balls, in many sizes, can be made. Various wavy shapes can also be made, simulating ocean coral.