# Insights from Euler's polyhedral formula into the structure of 3-polytopes

## Department of Mathematics, York College (CUNY)

## February 7, 2017

Euler's polyhedral formula - V + F - E = 2 - for convex 3-polytopes
and plane connected graphs continues to generate new questions about
the structure of plane graphs. This talk will give a survey of what
has been done in the past and look at many emerging open questions. In
particular, some new results about Hamiltonian circuits for simplicial
(all faces triangles) 3-polytopes will be discussed.