April 27, 2018 @ 3:30 pm – 4:30 pm
Speaker: Eliot Fried (Okinawa Institute of Science and Technology)
Title: Kaleidocycles and Möbius bands
Abstract: Many of Escher’s works have become mainstays of popular culture. Famous examples include his kaleidocycles, each consisting of six identical regular tetrahedra and being capable of undergoing a cyclic everting motion that brings different tesselations of the tetrahedra into view. Esher also provided memorable interpretations of Möbius bands. We will consider kaleidocycles made from seven or more identical twisted tetrahedra, or disphenoids, and expose a deep, and to our knowledge, previously unnoticed connection between kaleidocycles and the 3π-twist Möbius band.