ATA Lab Seminar Configuration space of Moebius Kaleidocycle

Event ended

Speaker: Shizuo Kaji (Professor at the Institute of Mathematics for Industry, Kyushu University, Japan)

The configuration of points in the Euclidean space has long been a research topic in geometry and topology, sometimes in relation to the analysis of mechanical linkages. In this talk, we consider the configuration of lines in the Euclidean space, which provides a model for a certain type of mechanical linkage. The linkage is also popular as an origami toy and called Kaleidocycle. We see how geometry and topology help to analyse Kaleidocycles; in particular, we construct

- a rare example of a single degree-of-freedom underconstrained linkage, which we have named the Moebius Kaleidocycle

- a motion of a Kaleidocycle governed by some integrable systems, and show it preserves a discretised total elastic energy.

We will discuss a wide range of open problems.

Conference ID: 869 2093 0113

Please contact Anastasiya Kamyshanova (akamyshanova@hse.ru) to recieve the password.

Date

8 April 13:00

Address

Zoom

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International Laboratory of Algebraic Topology and Its Applications