OFFSET
1,2
COMMENTS
The shape is formed by the intersection of four parabolas. Its area is given in A355183.
LINKS
Amiram Eldar, Illustration.
Missouri State University, Problem #5, The Area and Perimeter of a Certain Region, Advanced Problem Archive; Solution to Problem #5, by John Shonder.
FORMULA
Equals 2*log(sqrt(4-2*sqrt(2))+sqrt(2)-1) - sqrt(16-8*sqrt(2)) + sqrt(32-16*sqrt(2)).
EXAMPLE
1.70308249665895322783584912274920315719803442295049...
MATHEMATICA
RealDigits[2*Log[Sqrt[4 - 2*Sqrt[2]] + Sqrt[2] - 1] - Sqrt[16 - 8*Sqrt[2]] + Sqrt[32 - 16*Sqrt[2]], 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Jun 23 2022
STATUS
approved