Shota Shigetomi's webpage

Name: 重富尚太 / Shota Shigetomi

Affiliation: Institute of Mathematics for Industry, Kyushu University, Japan

Position: Assistant Professor

E-mail: s-shigetomi[at]imi.kyushu-u.ac.jp, shotashigetomi743+work[at]gmail.com

Affiliated academic societies: The Mathematical Society of Japan, The Japan Society for Industrial and Applied Mathematics

Research interests: integrable systems, discrete differential geometry, theta function

ORCiD: 0000-0003-0978-000X

・A paper constructing an explicit formula for Kaleidocycles has been published in Studies in Applied Mathematics.

Press Release issued on EurekAlert!: Study proves the existence and solves the mystery of the rotating Kaleidocycles, 14 May, 2026.
Press Release from Kyushu University: Study proves the existence and solves the mystery of the rotating Kaleidocycles, 14 May, 2026.
プレスリリース（九州大学）：任意個数の四面体に対してカライドサイクルの存在を数学的に証明
プレスリリース（京都大学）：任意個数の四面体に対してカライドサイクルの存在を数学的に証明―楕円テータ関数による明示公式の構成で50年来の謎に決着―

Recently, I have been researching a linkage mechanism called the Kaleidocycle and the discretization of the Rayleigh-Plesset equation, a nonlinear ordinary differential equation.

I have constructed an explicit formula for Kaleidocycles using the elliptic theta functions. The paper is available on arXiv.

There are various types of Kaleidocycles. The shapes and materials of the components can be freely changed to some extent, and I believe that Kaleidocycles have a variety of potential applications.