Treballs 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
