Abstract

In this article we present main notions and ideas of Morse theory in two dimensions, adjusted to school teachers and their talented students. We count numbers of critical points of different types and obtain interesting results about plane curves, mountainous landscapes and planets. We also derive the Euler formula for polyhedra.

Keywords: Critical point; Morse function; polyhedron.

Pages:  137$-$145     

Volume  XIV ,  Issue  2 ,  2011