I was inspired by arch compression structures that can provide shading at different scales: it could be a pavilion all the way to the roof of a train station. Furthermore, there is something interesting about the asymmetry from having different sine wave functions that have different numbers of waves as well as from having the top of the curve skew from the center.
I knew that having a sine wave function applied in the Z-direction would create interesting geometry that would form places of tension and compression between the ribs due to the panel geometry following the up and down of the waves. To add to that, I also added a sine function to the Y-direction to have the wave travel along the Y-Z diagonal plane. I played around with the number of waves, amplitude, and multiplying the sine function by -1 to change the direction of the tilt.
I basically mirrored the two sine waves on the Y-Z plane to tilt towards each other and that was the starting point of the 5-point archway. This included making sure the number of waves and amplitude integer sliders were the same ones for both sine waves to make sure they would change simultaneously. Parameters include:
- The number of ribs arching along the 5-point arch
- The number of rectangular panels between the ribs: having more panels created a smoother geometry
- The length of the entire structure along the X-direction to stretch the structure
- The height of the structure by further transposing in the Z-direction and also by making the amplitude even more great in the Z-direction for the middle leading line
- The number of waves and amplitude of all the sine functions (along the Z-direction and on the Y-Z plane for the exterior leading lines)
I noticed that if the 3 leading lines that had sine functions applied to them had the same number of waves, it would create a more regular in and out geometry (image below). On the other hand, if there was a different number of waves, the waves would not superimpose and it would create more abstract curved surfaces (top image).
