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GAIA Seminar on Complex Analytic Geometry - Stefan Langerman

posted Sep 8, 2016, 6:30 PM by Hyemin Shin   [ updated Sep 8, 2016, 7:06 PM ]
-  Title: Tilings and unfoldings

-  Speaker: Prof. Stefan Langerman (University of Liver de Bruxelles)

-  Abstract: A tiling is a covering of the plane with copies of a geometric shape(tiles) without gaps or overlaps.
An unfolding is obtained by cutting along the surface of a polyhedron through all its vetices, and opening all the digedral angles between adjacent faces to obtain a single flat non-overlapping geometric shape.

In this hands-on talk, I will explore connections between these two fascinating concepts, in an attempt to shed some light on the following still unsolved algorithmic problem: How easy(or hard) is it to determine if a given geometric shape can tile the plane?
and the following more artistic and no less fundamental problem: How to create beautiful (or even ugly) tilings?

- Place: Tae-Joon Park Digital Library #502
- Date: 16:00-17:00 on Wednesday, 28 September 2016