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A349579
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Decimal expansion of the 4-dimensional Steinmetz solid formed by the intersection of 4 unit-diameter 4-dimensional cylinders whose axes are mutually orthogonal and intersect at a single point.
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3
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3, 2, 9, 6, 6, 1, 9, 1, 3, 6, 2, 4, 2, 2, 5, 0, 3, 9, 7, 9, 5, 4, 0, 4, 7, 4, 8, 6, 7, 7, 5, 8, 7, 5, 7, 1, 3, 4, 3, 3, 4, 5, 1, 9, 3, 3, 3, 1, 6, 2, 1, 3, 6, 0, 5, 7, 0, 3, 3, 9, 9, 0, 0, 0, 0, 2, 9, 4, 0, 7, 8, 9, 2, 8, 7, 6, 1, 0, 2, 4, 1, 3, 1, 1, 0, 1, 1, 2, 6, 2, 3, 6, 4, 5, 0, 9, 0, 1, 3, 9, 5, 9, 2, 5, 2
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OFFSET
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0,1
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COMMENTS
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The constant given by Hildebrand et al. (2012) and Kong et al. (2013) is for unit-radius cylinders, and is thus larger by a factor of 2^4. The constant here, for a unit-diameter cylinders, is analogous to the 3-dimensional case given by Moore (1974).
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LINKS
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FORMULA
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Equals 3 * (Pi/4 - arctan(sqrt(2))/sqrt(2)).
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EXAMPLE
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0.32966191362422503979540474867758757134334519333162...
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MATHEMATICA
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RealDigits[3 * (Pi/4 - ArcTan[Sqrt[2]]/Sqrt[2]), 10, 100][[1]]
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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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