Basket weaving is a traditional craft widely employed in many cultures across the world. Interleaving thin, flexible ribbons in carefully arranged patterns allows creating a variety of three dimensional forms. The shape of a woven object is the result of the ribbon topology and the balancing of bending and twisting of ribbons. Building on the extensive experience and research of weaving artist Alison Martin, we extend concepts from the traditional craft of basket weaving by exploring new topologies and by carefully simulating the physical behavior of the bamboo ribbons. Our predictive simulations allow us to optimize the ribbon pattern to achieve a desired woven form while minimizing the mechanical stress experienced by the ribbons.