Kepler's Conjecture/Mistake
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Source Work
1983: François Le Lionnais and Jean Brette: Les Nombres Remarquables:
- Thème et variations
- $0,77963 55700 \ldots$
Mistake
- $\sqrt {18} \paren {\operatorname {Arcos} 1/3 - \pi / 3}$
- Le meilleur majorant connu pour la densité d'un empilement de sphères dans $R^3$.
That is, in English:
- $\sqrt {18} \paren {\arccos 1/3 - \pi / 3}$
- The best known upper bound for the density of a stack of spheres in $\R^3$.
Correction
This constant is in fact the packing density of a regular tetrahedron.
That is:
- Let $S$ be a regular tetrahedron of edge length $2$.
This sequence is A267040 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Also see
Sources
- 1983: François Le Lionnais and Jean Brette: Les Nombres Remarquables ... (previous) ... (next): $0,77963 55700 \ldots$