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http://hdl.handle.net/2445/110487| Title: | Kissing number |
| Author: | Torres Serra, Miquel |
| Director/Tutor: | Naranjo del Val, Juan Carlos |
| Keywords: | Esfera Treballs de fi de grau Trigonometria esfèrica Varietats topològiques de dimensió 3 Varietats topològiques de dimensió 4 Sphere Bachelor's theses Spherical trigonometry Three-manifolds (Topology) Four-manifolds (Topology) |
| Issue Date: | 27-Jun-2016 |
| 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. |
| Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Juan Carlos Naranjo del Val |
| URI: | http://hdl.handle.net/2445/110487 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| memoria.pdf | Memòria | 873.82 kB | Adobe PDF | View/Open |
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