The formation of non-woven fibre structures generated by the Bombyx mori silkworm is explored as a computational approach for shape and material optimization. Biological case studies are presented and a design approach for the use of silkworms as entities that can “compute” fibrous material organization is given in the context of an architectural design installation. We demonstrate that in the absence of vertical axes the silkworm can spin flat silk patches of variable shape and density. We present experiments suggesting sufficient correlation between topographical surface features, spinning geometry and fibre density. The research represents a scalable approach for optimization-driven fibre-based structural design and suggests a biology-driven strategy for material computation.