OFFSET
-1,1
COMMENTS
The shape is formed by the intersection of 6 paraboloids.
LINKS
Nicholas R. Baeth, Loren Luther, and Rhonda McKee, The Downtown Problem: Variations on a Putnam Problem, Mathematics Magazine, Vol. 90, No. 4 (2017), pp. 243-257.
Amiram Eldar, Illustration.
FORMULA
Equals (Pi + 4 - 5*sqrt(3) + (1+sqrt(3))*sqrt((2+sqrt(3))/8))/4.
EXAMPLE
0.08684100488246135439728371162576930823863643930709...
MATHEMATICA
RealDigits[(Pi + 4 - 5*Sqrt[3] + (1+Sqrt[3])*Sqrt[(2+Sqrt[3])/8])/4, 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Jun 23 2022
STATUS
approved