Value of Solid-Packing Constant for Circles

Theorem

The value of the solid-packing constant for circles is estimated as being:

$S \approx 1 \cdotp 306951 \ldots$


Proof


This theorem requires a proof.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
To discuss this page in more detail, feel free to use the talk page.
When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.



Sources

  • 1969: Z.A. Melzak: On the solid packing constant for circles (Math. Comp. Vol. 23: pp. 169 – 172)  www.jstor.org/stable/2005066
  • 1977: Benoit B. Mandelbrot: Fractals: Form, Chance and Dimension
  • 1983: François Le Lionnais and Jean Brette: Les Nombres Remarquables ... (previous) ... (next): $1,30695 1 \ldots$