Helical Path Simulation and Optimal Turning Design for The Bench Dragon Performance

Yingze Zhou; Jingyu Xiong

doi:10.54097/xng6fv11

Authors

Yingze Zhou
Jingyu Xiong

DOI:

https://doi.org/10.54097/xng6fv11

Keywords:

Bench Dragon, Collision Detection, Traditional Culture, Optimization Analysis.

Abstract

The "Bench Dragon," a traditional folk cultural activity originating from Zhejiang and Fujian, involves participants linking benches to form a dragon shape, symbolizing unity and cooperation. This paper explores the mathematical essence of the Bench Dragon, focusing on its movement trajectory, velocity variations, and collision detection. By establishing a polar coordinate model, the paper simulates the movement of the Bench Dragon along an Archimedean spiral and calculates the positions and velocities of the benches under constant speed conditions. A convex hull algorithm detects collisions, and a variable step-size method precisely identifies the moments of collision. Additionally, the paper analyzes the optimal turning path for the dragon head bench, aiming to minimize the turning curve while maintaining consistent tangency. The results offer new insights into the mathematical modeling of traditional cultural activities and provide a new methodological approach to the preservation and transmission of traditional culture by combining cultural expression with scientific analysis.

Downloads

Download data is not yet available.

References

[1] Pan D, Sirisuk M. Collective Memory Construction and Educational Inheritance of Ritual Practices of Bench Dragon Performance in Pujiang, China: Educational Inheritance of Ritual Practices of Bench Dragon Performance[J]. International Journal of Curriculum and Instruction, 2023, 15(3): 2232-2250.

[2] Zhang W, Wan W, Wang W. The Evolution and Review of the Cultural Ecology of Village Sports Performances: A Study on the “Bench Dragon” in Chongren[J]. Academic Journal of Humanities & Social Sciences, 2024, 7(8): 18-23.

[3] Pan D, Sirisuk M. Bench Dragon Performance at Pujiang, Zhejiang Province: The Overlap** in-between the Ritual Practice and Intangible Cultural Heritage Management of China[D]. Mahasarakham University, 2023.

[4] Xiang, Shi. Comparative study of two traditional sports forms with the same apparatus from the perspective of cultural ecology: based on the field investigation of the ‘Bench Dragon’ and ‘Bench Boxing’ at the Chongqing-Hubei border in the Wuling Mountains[J]. Chongqing Culture Research, 2024, (01): 51-59.

[5] Li, Moutao. Adhering to tradition and innovating: an oral history investigation of the ‘Hui Zhou Bench Dragon’ from the perspective of intangible cultural heritage inheritors[J]. Journal of Tonghua Normal University, 2024, 45(03): 31-37. DOI: 10.13877/j.cnki.cn22-1284.2024.03.005.

[6] Xiang, Yunhua, and Lan, Yongjian. Advantages, Challenges, and Solutions for Integrating Rural Revitalization with Local Cultural Heritage: A Field Study of Puyang Ancient Town and the Bench Dragon[J]. Zhejiang Sports Science, 2024, 46(01): 89-94.

[7] He, Ruyao. Research on the Collaborative Protection Mechanism of Diverse Subjects for the Hui Zhou Bench Dragon from the Perspective of Stakeholders[C]// Chinese Society of Sports Science. Abstract Collection of the 13th National Sports Science Conference - Special Reports (Wushu and Traditional National Sports Sub-committee). Shandong Sports University, 2023: 2.

[8] Shuaibu N A, Faye I, Simsim M T, Malik A S. Spiral path simulation of pedestrian flow during Tawaf[C]//IEEE International Conference on Signal and Image Processing Applications. Melaka, Malaysia: IEEE, 2013: 241-245.

[9] Shimura K, Khan S D, Bandini S, et al. Simulation and Evaluation of Spiral Movement of Pedestrians: Towards the Tawaf Simulator[J]. Journal of Cellular Automata, 2016, 11(4).

[10] Delattre B M A, Heidemann R M, Crowe L A, et al. Spiral demystified[J]. Magnetic resonance imaging, 2010, 28(6): 862-881.