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Search: id:A137615
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| A137615 |
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Decimal expansion of volume of the Meissner Body. |
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+0
4
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| 4, 1, 9, 8, 6, 0, 0, 4, 5, 9, 6, 5, 0, 8, 0, 2, 2, 3, 3, 4, 2, 1, 3, 0, 0, 0, 0, 9, 6, 8, 3, 3, 8, 2, 7, 9, 1, 6, 5, 0, 7, 0, 3, 3, 5, 0, 8, 8, 6, 5, 1, 2, 1, 8, 5, 3, 1, 9, 4, 5, 1, 2, 3, 5, 8, 5, 9, 5, 0, 8, 3, 2, 4, 2, 3, 7, 9, 8, 3, 2, 2, 2, 4, 6, 5, 4, 2, 4, 9, 4, 4, 8, 4, 0, 2, 1, 2, 5, 2, 5, 2
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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The Meissner body is a three-dimensional generalization of the Reuleaux triangle having constant width 1. Although it is based on the Reuleaux tetrahedron, it is different from that. The Meissner body exists in two different versions.
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REFERENCES
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G. D. Chakerian and H. Groemer, Convex Bodies of Constant Width, in: P. Gruber and J. Wills (Eds.), Convexity and its Applications, Basel / Boston / Stuttgart: Birkhaeuser (1983), p. 68.
Johannes Boehm and E. Quaisser, Schoenheit und Harmonie geometrischer Formen - Sphaeroformen und symmetrische Koerper, Berlin: Akademie Verlag (1991), p. 71.
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LINKS
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SwissEduc: Teaching and Learning Mathematics, Gleichdick - Koerper konstanter Breite (in German)
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FORMULA
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(2/3 - Sqrt[3]/4 * ArcCos[1/3])* Pi
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EXAMPLE
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0.4198600...
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CROSSREFS
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Cf. A102888, A137616, A137617, A137618.
Sequence in context: A049762 A105495 A010644 this_sequence A021990 A084887 A067015
Adjacent sequences: A137612 A137613 A137614 this_sequence A137616 A137617 A137618
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KEYWORD
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cons,easy,nonn
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AUTHOR
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Christof Weber (christof.weber(AT)igb.uzh.ch), Feb 04 2008
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