Research on the Layout Strategy of Bench Dragon Based on the Archimedean Spiral Model

Abstract

This article focuses on the innovative transmission of the intangible cultural heritage folk activity known as "Bench Dragon." Considering its diverse performances, a qualitative study is conducted to investigate layout strategies through the establishment of mathematical models. This approach aims to enhance bench formations, increase aesthetic appeal, and integrate people's movement patterns, thereby adding athleticism and diversity to the performance. Various methods, including the bisection method, backward recursion, and collision threshold verification, are proposed to develop the Archimedean Bench Dragon model and models for collision and turning problems using both Cartesian and polar coordinate systems. MATLAB simulations are employed to track trajectories, determining the velocities of each segment and optimal arrangements of the model under specific parameter settings. This work aims to achieve the best layout and aesthetic quality for the "Bench Dragon," providing insights for the protection and transmission of cultural heritage.