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Search: id:A157650
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| A157650 |
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Number of minimum geometric construction etches with compass and straight-edge to find the centroid of n points. |
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+0
1
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| 0, 4, 9, 12, 19, 21, 28, 28, 36, 38, 46, 45
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Archimedes, On the equilibrium of planes, 287 BC-212 BC (Proposition 4, Book I).
Tom A. Apostol and Mamikon A. Mnastakanian, Finding centroids the easy way, Math Horizons, September (2000), 7-12
Jason E. Shields, Archimedes Lemma Variation, February 13, 2009 (unpublished)
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LINKS
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Tom A. Apostol and Mamikon A. Mnastakanian, Finding Centroids The Easy Way
Jason E. Shields, Archimedes Lemma Variation
Wikipedia, Archimedes
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EXAMPLE
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For n=4, the minimum number of geometric etches to find the centroid of 4 points is 12.
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CROSSREFS
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Sequence in context: A067259 A060687 A084789 this_sequence A119640 A051233 A124623
Adjacent sequences: A157647 A157648 A157649 this_sequence A157651 A157652 A157653
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KEYWORD
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nonn
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AUTHOR
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Jason Shields (bqllpd(AT)gmail.com), Mar 03 2009, Mar 13 2009
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