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A179452
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Decimal expansion of sqrt(5 + 2*sqrt(5))/2, the height of a regular pentagon and midradius of an icosidodecahedron with side length 1.
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22
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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
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OFFSET
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1,2
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COMMENTS
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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
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LINKS
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Eric Weisstein's World of Mathematics, Pentagon
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FORMULA
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Equals sqrt(5+2*sqrt(5))/2.
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EXAMPLE
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1.53884176858762670128514528801845491200335107176889621351957812518743...
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MAPLE
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sqrt(5+2*sqrt(5.))/2
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MATHEMATICA
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RealDigits[Sqrt[5+2Sqrt[5]]/2, 10, 120][[1]] (* Harvey P. Dale, Jun 23 2017 *)
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PROG
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(PARI) sqrt(5+2*sqrt(5))/2
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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