Motion Model of Bench Dragon Based on The Spiral Algorithm

This study focuses on the potential collision scenarios in the motion of the Bench Dragon, a traditional folk activity, aiming to precisely locate possible collision points. Currently, there is a dearth of specialized research and experimental exploration on bench dragon collisions. By leveraging the known spiral equation and triangular relationships, the study first deduces the motion correlations among benches to accurately ascertain their positions and velocities. Then, through simulating the motion of two benches, it clarifies the collision-triggering conditions. To boost solution efficiency, a nearest-neighbor detection model for adjacent layers is proposed. A subsequent simulation analysis of the bench dragon's overall motion reveals that at the 412.3rd second, the dragon's head will collide with the 8th section of its body. The results validate the model, filling the research gap and aiding in understanding the dragon's motion and collisions.