A box-counting method for determining the fractal dimensions of crimpe
d fibers is discussed in detail. Using nylon 6 crimped filament magnif
ied figures, an application of the method is demonstrated where the bo
x-counting dimension (D-B) of nylon 6 has a distribution of 1.00-1.65.
Eight animal fibers, cotton, and two other synthetic crimped fibers a
re also characterized by D-B distributions of 1.00-1.32. Modified rand
om Koch curves are used to simulate crimped fiber shapes and to examin
e the relationship between Hausdorff's dimension (D-H) and D-B.