Scientific and Educational Reports of the Faculty
of Science and Technology, Kochi University
Vol. 5 (2022), No. 8

On the existence of a rotational closed chain

Kazushi Komatsu，Jun Yagi　

Faculty of Science and Technology, Kochi University　；　Akebono-cho 2-5-1, Kochi 780-8520, Japan
　

要旨

The set of closed chains is called the configuration space of the closed chains. Let M_nⁿ (θ) be the configuration space of equilateral and equiangular closed chains with the bond angle θ and n-vertices, and M_n^n-2 (θ) the configuration space of equilateral closed chains with n-vertices whose n−2 bond angles are the same θ except for successive two angles. In this paper, we study the condition of n for which M_nⁿ(π/ 2) or M_n^n-2 (cos^-1 (− 1/ 3)) has a rotational closed chain. This results give a geometrical approach for the study of the topology of M_nⁿ (π/ 2) or M_n^n-2 (cos^-1 (− 1/ 3)).

全文(pdf)

Received: March 12, 2022
Reviewed by anonymous referee(s), and accepted: May 19, 2022
Published: June 22, 2022

発行者：高知大学理工学部 〒780-8520 高知県高知市曙町二丁目5-1
Faculty of Science and Technology, Kochi University, Kochi, 780-8520 Japan
問い合わせ先（E-mail）：serfst●kochi-u.ac.jp　（送信の際は"●"を半角"@"に変更して送信してください）

高知大学理工学部
高知大学