The Combinatorics of Rhombic Polygon Tilings

MATH TABLE

Speaker:

Hanna Mularczyk - Harvard Undergraduate

The geometry of rhombic tilings and tessellations like the Penrose tiling have captivated mathematicians and artists alike.  Hidden in the geometry of certain rhombic tilings of certain polygons, though, is an unexpected combinatorial structure that not only lends itself to some combinatorial objects, but also is often rather useful for their enumeration.  In this talk, we will highlight the connection between one type of rhombic tiling and the world of plane partitions, monotone discrete functions, and stacks of cubes; and another type of rhombic tiling to the world of permutations, Coxeter groups, and reduced words.

Come learn some neat mathematics connecting permutations, polygons, geometry, and groups.

Zoom link is posted here:
https://calendar.college.harvard.edu/event/math_table