Geodesic
The Closest Packing of Spherical Caps in n Dimensions
Glasgow mathematical journal, Tome 2 (1955) no. 3, pp. 139-144

Voir la notice de l'article provenant de la source Cambridge University Press

Let Sn denote the “surface” of an n-dimensional unit sphere in Euclidean space of n dimensions. We may suppose that the sphere is centred at the origin of coordinates O, so that the points P(x1, x2, ..., xn) of Sn satisfyWe suppose that n≥2. 
Rankin, R. A. The Closest Packing of Spherical Caps in n Dimensions. Glasgow mathematical journal, Tome 2 (1955) no. 3, pp. 139-144. doi: 10.1017/S2040618500033219
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[(1)] (1)Bachmann, P., Die Arithmetih der quadratischen Formen, Zweite Abteilung (Berlin, 1923), Chapter 10. Google Scholar

[(2)] (2)Fejes, L. Tóth, Lagerungen in der Ebene auf der Kugel und im Raum (Berlin, 1953). Google Scholar

[(3)] (3)Rankin, R. A., “On the closest packing of spheres in n dimensions”, Ann. of Math. 48 (1947), 1062–81. Google Scholar

[(4)] (4)Schütte, K. und Waerden, B. L. van der, “Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand 1 Platz?” Math. Ann. 123 (1951), 96–124. Google Scholar

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