Geodesic
Three manifestations of Morse theory in two dimensions
The Teaching of Mathematics, XIV (2011) no. 2, p. 137 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Classification : 1AMS97I20 2ZDMI25
Keywords: Critical point, Morse function, polyhedron. 
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     author = {Vladimir N. Gruji\'c},
     title = {Three manifestations of {Morse} theory in two dimensions},
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Vladimir N. Grujić. Three manifestations of Morse theory in two dimensions. The Teaching of Mathematics, XIV (2011) no. 2, p. 137 . http://geodesic.mathdoc.fr/item/TM2_2011_XIV_2_a7/