OFFSET
0,1
COMMENTS
The vertex-to-face edge-length ratio between a dodecahedron and its enclosing dual icosahedron. See Wassell and Benito. - Michel Marcus, Sep 30 2019
LINKS
Stephen R. Wassell and Samantha Benito, Edge-Length Ratios Between Dual Platonic Solids: A Surprisingly New Result Involving the Golden Ratio, Fib. Q. 50(2), 2012, 144-154.
FORMULA
Equals sqrt((3+sqrt(5))/18) or sqrt(6+2*sqrt(5))/6. See Wassell and Benito. - Michel Marcus, Sep 30 2019
Equals Product_{k>=2} (1 - 1/Fibonacci(2*k)). - Amiram Eldar, May 27 2021
EXAMPLE
0.5393446629166...
MATHEMATICA
RealDigits[GoldenRatio/3, 10, 120][[1]] (* Harvey P. Dale, Jan 15 2012 *)
PROG
(PARI) (1+sqrt(5))/6 \\ Michel Marcus, Sep 30 2019
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Omar E. Pol, Nov 15 2007
EXTENSIONS
More terms from Harvey P. Dale, Jan 15 2012
STATUS
approved