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A243313
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Decimal expansion of a 5-dimensional analog of DeVicci's tesseract constant.
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1
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1, 0, 9, 6, 3, 7, 6, 3, 1, 7, 1, 7, 7, 3, 1, 2, 8, 0, 4, 0, 7, 5, 9, 3, 1, 1, 0, 6, 9, 1, 3, 5, 2, 3, 7, 9, 0, 1, 9, 6, 5, 3, 8, 4, 9, 6, 9, 4, 3, 5, 1, 5, 5, 1, 8, 2, 9, 7, 5, 5, 2, 4, 9, 6, 5, 2, 9, 5, 3, 1, 9, 4, 0, 0, 1, 5, 4, 1, 4, 0, 4, 0, 6, 1, 9, 6, 2, 8, 8, 8, 1, 8, 9, 8, 0, 3, 4, 5, 6, 9, 7, 9, 4, 4
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OFFSET
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1,3
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COMMENTS
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This constant is the edge length of the largest 3-dimensional cube that can be inscribed within a unit 5-dimensional cube.
Also, the smallest positive root in x^4 - 22*x^2 + 25 = 0.
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.14 DeVicci's tesseract constant, p. 525.
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LINKS
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FORMULA
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sqrt(11-4*sqrt(6)) = 2*sqrt(2)-sqrt(3).
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EXAMPLE
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1.0963763171773128040759311069135237901965384969435155182975524965...
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MATHEMATICA
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RealDigits[Sqrt[11-4*Sqrt[6]], 10, 104] // First
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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