# Geometrical Problems Inspired by Partitions and Compositions

## Joseph Malkevitch, Department of Mathematics and Computer Science, York College (CUNY)

## September 20, 2016

A partition of a positive integer N is a set of positive integers
whose sum is N. This talk will survey how ideas about partitions and
their generalization compositions can be used to get new insights into
geometrical problems. The origin of these ideas grew out of work by
Branko Grünbaum on a new (1995) result about convex 4-gons.