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A214726
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Decimal expansion of the perimeter of Cairo and Prismatic tiles.
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4
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3, 8, 6, 3, 7, 0, 3, 3, 0, 5, 1, 5, 6, 2, 7, 3, 1, 4, 6, 9, 9, 8, 9, 7, 2, 7, 9, 8, 9, 1, 5, 5, 8, 9, 4, 7, 0, 5, 3, 5, 6, 1, 9, 3, 5, 6, 0, 3, 3, 6, 1, 8, 2, 0, 1, 6, 0, 9, 3, 7, 2, 3, 0, 5, 2, 4, 1, 6, 9, 2, 8, 5, 5, 9, 1, 9, 4, 2, 2, 0, 6, 5, 3, 9, 0, 2, 4, 6, 9, 6, 7, 4, 3, 2, 2, 8, 1, 8, 0, 7, 5, 5
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OFFSET
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1,1
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COMMENTS
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Length of the longest diagonal in a regular 12-gon with unit side. - Mohammed Yaseen, Dec 13 2020
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LINKS
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Ping Ngai Chung, Miguel A. Fernandez, Yifei Li, Michael Mara, Frank Morgan, Isamar Rosa Plata, Niralee Shah, Luis Sordo Vieira and Elena Wikner, Isoperimetric Pentagonal Tilings, Not. AMS, Vol. 59, No. 5 (May 2012) pp. 632-640; arXiv preprint, arXiv:1111.6161 [math.MG], 2011.
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FORMULA
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Equals 2*(sqrt(2+sqrt(3))).
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EXAMPLE
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3.8637033051562731469989727989....
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MATHEMATICA
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First[RealDigits[Csc[Pi/12], 10, 100]] (* Paolo Xausa, Oct 19 2023 *)
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PROG
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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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