Reading Response: A basketmaker’s approach to structural morphology.

 Martin, A. G. (2015). A basketmaker’s approach to structural morphology. In Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium 2015 (pp. 1–8). IASS.

Alison Martin explores how ancient craft techniques like weaving and knitting are essentially physical algorithms. She argues that these traditional methods solve complex engineering problems related to surface curvature and structural integrity. By building physical models, Martin demonstrates how "nexorades" or reciprocal grids allow short, identical elements to support each other through friction and tension. This approach moves away from the idea of a central "hub" or connector and instead relies on the mutual support of the parts. Her work connects basketry to advanced fields like computer graphics and building science, proving that the hands of a maker are often doing the work of a sophisticated computer.

Stop 1: My first stop occurred on page 2 when Martin explains the "geometry principle" of introducing singularities to change the shape of a mesh. In my high school classes, curvature is often an abstract concept we describe with complex formulas, but Martin makes it tactile. She explains that in a hexagonal grid, a pentagon introduces positive convex curvature (like a ball), while a heptagon introduces concave curvature (like a saddle). It suggests we could teach the "math" of curvature by having students literally count the sides of shapes in a mesh to see why a surface bulges or caves in.

Stop 2: I paused again on page 3 where Martin discusses why physical models are superior to drawings. She notes that "weaving a topological object works better than trying to draw a picture" because a woven surface is transparent. In secondary math, we often struggle to help students visualize the "inside" or the connectivity of 3D shapes on a 2D chalkboard. Martin shows that the open gaps in a weave allow us to

"see through the layers," much like how scientists use soap films to understand minimal surfaces. The basket is a scientific instrument that helps us perceive spatial relationships that are normally hidden.

Stop 3:

I stopped again on "Sponge Morphology" on page 6. Martin describes sponges and corals as natural optimizers that use the "simplest algorithm" to create the most surface area with the least amount of material. It moves math out of the textbook and into the natural world. Instead of teaching "efficiency" as a word problem, students could study how these biological "space-filling" algorithms create high-strength, lightweight structures. It turns the classroom into a design lab where nature provides the mathematical strategy.

                                       

Question:

Martin highlights that these "algorithms" are built into the very act of weaving. How might our students' confidence change if we presented "crafting" as a form of "coding"? If they realized that they were already executing complex algorithms with their hands, would they be less intimidated by the symbolic and digital versions of those same concepts?