On polygons and polyhedra

Siniša T. Vrećica

This paper is written for those Gymnasium students with an intensive interest in mathematics who are often in search for some extra reading matters not being on school curriculum. We have chosen to elaborate here a number of interesting and beautiful geometric topics: the diagonals of polygons and the triangulations, the art gallery theorems, the Euler formula, regular polyhedra, that could satisfy their curiosity and instigate their further reading.