# Some new results for convex polygons

#### by Iwan Jensen

Institution: The University of Melbourne
Date: Mon 27th August 2012
Time: 1:00 PM
Location: Room 115, Sidney Myer Asia Centre

Abstract: Time permitting I shall get around to talking about three interrelated topics on perimeter generating functions for convex polygons.

1) Directed column-convex polygons and hypergeometric solutions to the cubic equation.

2) Some new types of column-convex polygons.

3) Enumerations on the square lattice by perimeter and right-angle bends and how this leads to perimeter generating functions on the (4.8$$^2)$$-lattice.