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memoria.pdf (873.82 KB)

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Bachelor thesis

Publication date

2016-06-27

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cc-by-nc-nd (c) Miquel Torres Serra, 2016
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/110487

Kissing number

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Abstract

The 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.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Juan Carlos Naranjo del Val

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Subject

Esfera, Treballs de fi de grau, Trigonometria esfèrica, Varietats topològiques de dimensió 3, Varietats topològiques de dimensió 4

Subject (English)

Sphere, Bachelor's theses, Spherical trigonometry, Three-manifolds (Topology), Four-manifolds (Topology)

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Treballs Finals de Grau (TFG) - Matemàtiques

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TORRES SERRA, Miquel. Kissing number. [consulted: 8 of October of 2026]. Available at: https://hdl.handle.net/2445/110487

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