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A179452
Decimal expansion of sqrt(5 + 2*sqrt(5))/2, the height of a regular pentagon and midradius of an icosidodecahedron with side length 1.
22
1, 5, 3, 8, 8, 4, 1, 7, 6, 8, 5, 8, 7, 6, 2, 6, 7, 0, 1, 2, 8, 5, 1, 4, 5, 2, 8, 8, 0, 1, 8, 4, 5, 4, 9, 1, 2, 0, 0, 3, 3, 5, 1, 0, 7, 1, 7, 6, 8, 8, 9, 6, 2, 1, 3, 5, 1, 9, 5, 7, 8, 1, 2, 5, 1, 8, 7, 4, 3, 1, 6, 4, 4, 2, 4, 7, 5, 4, 5, 4, 5, 9, 2, 2, 7, 2, 9, 6, 8, 6, 0, 8, 3, 3, 5, 5, 2, 7, 1, 7, 6, 3, 5, 9, 5
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
KEYWORD
nonn,cons,easy,changed
AUTHOR
EXTENSIONS
Partially rewritten by Charles R Greathouse IV, Feb 03 2011
Edited by M. F. Hasler, Oct 16 2014
STATUS
approved