Session Topic: Mobius Kaleidocycles
A kaleidocycle is a three-dimensional ring, composed of a series of linked tetrahedra. Instead of the classical, very popular, kaleidocycles with even numbers (usually six, sometimes eight) of elements, we will build kaleidocycles with 7 or 9 elements and several different surface designs. Moreover, we will learn that it is possible to construct kaleidocycles with any number of elements greater than or equal to six. These new kaleidocycles have two novel properties: they have only a single degree of freedom and they have the topology of a Mobius band.
Session Leader: Eliot Fried
Eliot obtained his Ph.D. in Applied Mechanics from the California Institute of Technology in 1991. He is the recipient of a National Science Foundation Mathematical Sciences Postdoctoral Fellowship, a Japan Society for the Promotion of Science Postdoctoral Research Fellowship, and a National Science Foundation Research Initiation Award. Currently he is a Professor at the Okinawa Institute of Science and Technology Graduate University, where he leads the Mathematics, Mechanics, and Materials Unit. Previously he was at McGill University, as Professor of Mechanical Engineering, Professor of Mathematics and Statistics, and the Tier 1 Canada Research Chair in Interfacial and Defect Mechanics. His research focuses on deriving and analyzing mathematical models for novel systems in the mechanical and materials sciences.