Spiral-wound materials, spirals, and shafts made therefrom that have wraps with edges that may nest within one another are described. Such edges allow the spiral to achieve a smaller bending radius, meaning tighter turns and more flexibility due to the ability of adjacent wraps to nest within each other when the shaft is bent. Spirals having wraps with edges capable of nesting can be used in the medical field for devices that track anatomy, such as endoscopes, colonoscopes, catheters, and the like.