This project starts as an investigation of the formal represenation and material distribution of ancient Chinese pillows, which are usually made with solid materials such as bamboo, jade, porcelain, wood, or even bronze. We took inspiration from the fourier series and used a series of sinusoidal and cosinusoidal waves to analogize the formal logic and the variation in density and depth of material along the cross-section of the pillow. By using different parameters for the functions, we observe the difference in deformation of our prototypes and eventually chose a form that we thought to be ideal among the prototypes to make our final 3D-printed product.
Our methodology of formal invention takes inspiration from the Fourier Series but differs from it as we do not combine series of sinusoidal/cosinusoidal waves in the same coordination system at once. 
Instead, we directly vary the amplitude and frequency of the wave function in different regions to approximate the form of our object. Then, we apply a secondary wave along the length of our first wave as a simulation of the material distribution, the frequency here being related to the material density while the amplitude represents the depth or thickness of the material.