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Search: id:A137616
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| A137616 |
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Decimal expansion of surface area of the Meissner Body. |
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+0
4
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| 2, 9, 3, 4, 1, 1, 5, 1, 9, 4, 3, 2, 3, 3, 5, 5, 9, 3, 8, 9, 9, 2, 6, 8, 8, 9, 2, 4, 1, 2, 3, 0, 1, 1, 8, 1, 4, 4, 6, 1, 5, 8, 6, 9, 3, 6, 4, 2, 7, 3, 7, 2, 9, 8, 4, 3, 8, 0, 5, 1, 9, 9, 7, 5, 3, 7, 7, 1, 1, 2, 6, 0, 2, 3, 7, 1, 7, 3, 5, 9, 7, 6, 9, 1, 1, 7, 7, 4, 8, 7, 2, 5, 2, 9, 4, 5, 3, 8, 8, 3, 7
(list; cons; graph; listen)
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OFFSET
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1,1
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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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Johannes Boehm and E. Quaisser, Schoenheit und Harmonie geometrischer Formen - Sphaeroformen und symmetrische Koerper, Berlin: Akademie Verlag (1991), S. 71.
G. D. Chakerian and H. Groemer, Convex Bodies of Constant Width, in: P. Gruber and J. Wills (Eds.), Convexity and ist Applications, Basel / Boston / Stuttgart: Birkheuser (1983), p. 68.
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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 - Sqrt[3]/2 * ArcCos[1/3]) * Pi
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EXAMPLE
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2.93411519...
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CROSSREFS
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Cf. A102888, A137615, A137617, A137618.
Sequence in context: A021345 A011066 A071194 this_sequence A111689 A085093 A021777
Adjacent sequences: A137613 A137614 A137615 this_sequence A137617 A137618 A137619
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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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