ABSTRACT
The equation for the sine curve is y = a sin(bx + c) + d, where a is amplitude, b is used to find the period (2π|b|), c is used to find the phase shift, and d is the vertical shift. For all the tests c = d = 0 and b = 1. The distance between each curve placed on the y-axis is denoted α. The standard period is 2π, and the period is not changed in any test; what is changed is how many periods there are, which is denoted as Pd. The measurements taken for each corrugation were length (prior to scoring, folding, and compression/rotation), width (prior to scoring, folding, and compression/rotation), compressed length, compressed width, compressed depth, and degrees of rotation (denoted DOR). Rotation is measured in degrees and is measured by rotating the corrugation around a central axis; all other measurements are in centimeters. When I refer to the rigidity of a tessellation, I refer to how little a corrugation rotates around the
central axis and how little it compresses for both length and width, without rotation around the central axis. Density refers to how closely the curves pack together. There are two different axes of rotation, referred to as “spine 1” and “spine 2,” as shown in Figures 2 and 3. In the first three tests, G, DB, and B, rotate around the first spine; in the fourth and fifth tests, T and P, rotate around the second spine.
