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Reconceptualizing atomic cluster structures from a polyhedral topology perspective: application of Euler's theorem in solving structural inference problems

Ruben Fan1, Junqiao Zhuo2, Zihao Liu3, Dongchu Yang1, Ting Li1, Qifan Chang1, Runze Hu1, Jun Xu1   

  1. 1 Chengdu No.7 High School, Chengdu 610041, Sichuan Province, China;
    2 Chongqing Academy of Educational Science, Chongqing 400015, China;
    3 Shenzhen Middle School, Shenzhen 518024, Guangdong Province, China
  • Received:2026-03-12 Accepted:2026-05-08
  • Contact: Ruben Fan E-mail:1528580278@qq.com

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Abstract: From the perspective of polyhedral topology and employing the mathematical reasoning approach of Euler's theorem, this study presents a novel solution to problems encountered in the 32nd Chemistry Olympiad (final). Furthermore, the proposed methodology is extended to analyze other irregular polyhedral atomic cluster structures.

Key words: Polyhedral topology, Atomic cluster, Euler theorem, Mathematical method, Chemical Olympiad