Geometry and astronomy: stellar clusters

Forms in nature have always been considered as a fingerprint or signature of its origin and / or functionality. The geometry has played a key role in the development of the experimental sciences, from Euclides and its elements, to Cartesian geometry, graph theory and ending on fractal geometry. This talk will discuss how the geometry of the star clusters can give us information about how they form and evolve these stellar systems and how using models and observations quantification of geometric properties of natural objects helps us better understand the physical mechanisms modeling nature.