Matematika salse

Abstract

U diplomskom radu opisane su neke veze salse i matematike (kombinatorike, geometrije i algebre). U prvom poglavlju opisali smo šest clave ritmova, koji su podloga glazbe na koju se pleše salsa, na nekoliko matematičkih načina te opisali neke matematičke mjere njihove složenosti i sličnosti i moguće permutacije. U drugom poglavlju smo odgovorili na nekoliko kombinatornih pitanja povezanih s plesanjem salse ruede (kružna salsa). U trećem poglavlju smo prebrojali koliko ima plesnih pozicija salse u kojima se plesači ne kreću. U zadnjem poglavlju rada opisali smo neke simetrije koje se pojavljuju općenito u plesu, pa tako i u salsi.In this thesis we described some connections between salsa dancing and mathematics (combinatorics, geometry and algebra). We mathematically described the six clave rhythms, that are the base of music salsa is danced to and described mathematical measures of their complexities and similarities, as well as permutations of rhytms. In the second chapter we answered some combinatorial questions related dancing salsa rueda (salsa danced in a circle). The third chapter describes the enumeration of salsa dance positions in which dancers don’t move. In the last chapter we described some symmetries found in dancing in general, and thus in salsa too