Equidecomposability of polygons

V diplomskem delu vpeljemo vse definicije, izreke in dogovore, ki so pomembni za predstavitev in pomen razreza in preoblikovanja poligonov ter za dokaz izreka o ekvidekomponibilnosti poligonov. Ogledamo si različne vrste disekcij in metode zgibanja ter predstavimo nekaj primerov in protiprimerov. Kot posebno zanimivost pa si ogledamo tudi primer problematike kvadrature kroga.In the diploma thesis we introduce all definitions, theorems and conventions that are important for the presentation of cutting and transformation of polygons and for proving the theorem on the equidecomposability of polygons. We look at different types of dissections and methods of folding, and present some examples and counterexamples. As an interesting point, we also consider an example of the problem of the quadrature of a circle