id:A066666 - OEIS Search Results

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Decimal expansion of area cut out by a rotating Reuleaux triangle.

+0
1

9, 8, 7, 7, 0, 0, 3, 9, 0, 7, 3, 6, 0, 5, 3, 4, 6, 0, 1, 3, 1, 9, 9, 9, 9, 1, 3, 5, 5, 8, 3, 2, 8, 5, 4, 7, 9, 1, 8, 4, 7, 2, 0, 7, 4, 1, 8, 3, 2, 7, 8, 8, 9, 2, 9, 4, 0, 7, 7, 1, 3, 9, 0, 9, 5, 5, 1, 6, 8, 7, 6, 8, 1, 9, 8, 6, 3, 4, 9, 0, 7, 2, 6, 6, 9, 6, 4, 8, 4, 4, 4, 0, 4, 8, 4, 9, 9, 9, 6, 0 (list; cons; graph; listen)

	OFFSET	`0,1`
	COMMENT	`"Yes - there are shapes of constant width other than the circle. No - you can't drill square holes. But saying this was not just an attention catcher. As the applet on the right illustrates, you can drill holes that are almost square - drilled holes whose border includes straight line segments!" - Bogomolny. The Java applet shows it in its three versions.`
	LINKS	`Alexander Bogomolny, Shapes of constant width` `Eric Weisstein's World of Mathematics, Reuleaux Triangle` `Anonymous, Shape traced out by a rotating Reuleaux drill`
	FORMULA	`Area = 2*Sqrt(3)+Pi/6 - 3 = 0.9877003907360534601319999...`
	MATHEMATICA	`RealDigits[N[2*Sqrt[3] + Pi/6 - 3, 100]]`
	CROSSREFS	`Cf. A060708, A060709.` `Sequence in context: A132673 A107927 A019890 this_sequence A021905 A163243 A060799` `Adjacent sequences: A066663 A066664 A066665 this_sequence A066667 A066668 A066669`
	KEYWORD	`nonn,cons`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 11 2002`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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