OFFSET
1,2
COMMENTS
Icosidodecahedron: 32 faces, 30 vertices, and 60 edges.
Height of a regular pentagon with side length 1. - Jared Kish, Oct 16 2014
Volume of a regular decagonal prism with unit side length and height 2. - Wesley Ivan Hurt, May 04 2021
LINKS
Polytope Wiki, Icosidodecahedron.
Eric Weisstein's World of Mathematics, Icosidodecahedron.
Eric Weisstein's World of Mathematics, Pentagon.
Wikipedia, Icosidodecahedron.
FORMULA
Equals sqrt(5+2*sqrt(5))/2.
Minimal polynomial: 16*x^4 - 40*x^2 + 5. - Amiram Eldar, May 18 2026
EXAMPLE
1.53884176858762670128514528801845491200335107176889621351957812518743...
MAPLE
sqrt(5+2*sqrt(5.))/2;
MATHEMATICA
RealDigits[Sqrt[5+2Sqrt[5]]/2, 10, 120][[1]] (* Harvey P. Dale, Jun 23 2017 *)
PROG
(PARI) sqrt(5+2*sqrt(5))/2
CROSSREFS
KEYWORD
AUTHOR
Vladimir Joseph Stephan Orlovsky, Jul 14 2010
EXTENSIONS
Partially rewritten by Charles R Greathouse IV, Feb 03 2011
Edited by M. F. Hasler, Oct 16 2014
STATUS
approved
