Naranjo del Val, Juan CarlosTorres Serra, Miquel2017-05-052017-05-052016-06-27https://hdl.handle.net/2445/110487Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Juan Carlos Naranjo del ValThe kissing number problem is a classic problem related to the Kepler conjecture and which was already the subject of discussion between David Gregory and Isaac Newton. The problem asks for the value of $κ(n)$, which is the maximal number of equal radius and nonoverlapping spheres in n-dimensional space that can touch a fixed sphere of the same radius? The answer is known for n = 1, 2, 3, 4, 8, 24, in this work we will study the proof of Oleg R. Musin in the three dimensional case and discuss his strategy in the four dimensional one.51 p.application/pdfcatcc-by-nc-nd (c) Miquel Torres Serra, 2016http://creativecommons.org/licenses/by-nc-nd/3.0/esEsferaTreballs de fi de grauTrigonometria esfèricaVarietats topològiques de dimensió 3Varietats topològiques de dimensió 4SphereBachelor's thesesSpherical trigonometryThree-manifolds (Topology)Four-manifolds (Topology)info:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess