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A052483 Decimal expansion of Hausdorff dimension of Apollonian packing of circles. 4

%I #33 Jan 02 2024 02:43:10

%S 1,3,0,5,6,8,6,7,2,8,0,4,9,8,7,7,1,8,4,6,4,5,9,8,6,2,0,6,8,5,1,0,4,0,

%T 8,9,1,1,0,6,0,2,6,4,4,1,4,9,6,4,6,8,2,9,6,4,4,6,1,8,8,3,8,8,9,9,6,9,

%U 8,6,4,2,0,5,0,2,9,6,9,8,6,4,5,4,5,2,1,6,1,2,3,1,5,0,5,3,8,7,1,3,2,8,0,7,9,2,4,6,6,8

%N Decimal expansion of Hausdorff dimension of Apollonian packing of circles.

%D Polina Vytnova and Caroline Wormell, Rigorous computation of the Hausdorff dimension of the Apollonian gasket, to be published, 2024.

%H Zai-Qiao Bai and Steven R. Finch, <a href="https://www.researchgate.net/publication/323917846">Precise calculation of Hausdorff dimension of Apollonian gasket</a>, Fractals (2018), <a href="https://doi.org/10.1142/S0218348X18500500">doi:10.1142/S0218348X18500500</a>.

%H Roberto De Leo, <a href="https://www.researchgate.net/publication/268225916">A conjecture on the Hausdorff dimension of attractors of real self-projective Iterated Function Systems</a>, Experimental Mathematics 24, 270 (2015), <a href="https://doi.org/10.1080/10586458.2014.987884">doi:10.1080/10586458.2014.987884</a>.

%H S. S. Manna and H. J. Herrmann, <a href="https://doi.org/10.1088/0305-4470/24/9/006">Precise determination of the fractal dimensions of Apollonian packing and space-filling bearings</a>, J. Phys. A: Math. Gen. 24 (1991), L481-L490.

%H MathOverflow, <a href="https://mathoverflow.net/questions/231325">Hausdorff dimension of Apollonian circle packing, 1.305686729, 1.305688 or yet something else?</a>.

%H P. B. Thomas and D. Dhar, <a href="https://doi.org/10.1088/0305-4470/27/7/007">The Hausdorff dimension of the Apollonian packing of circles</a>, J. Phys. A, 27 (1994), 2257-2268.

%e 1.3056867...

%Y Cf. A187089.

%K nonn,cons

%O 1,2

%A _N. J. A. Sloane_, Mar 16 2000

%E More terms from _Andrey Zabolotskiy_, May 17 2018 from the paper by Zai-Qiao Bai and Steven R. Finch

%E More terms from Vytnova & Wormell added by _Andrey Zabolotskiy_, Nov 08 2023

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