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Topic: Alignments of random points

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Alignments of random points

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	Ley Lines and Computing
		Watkins hypothesized that ley lines were the sighting points for a vast network of "straight tracks" that covered prehistoric England, and his book includes several crossroads used as ley points and instances of dirt pathways uncovered in the course of sewer excavation (Watkins 1948:38-39).
		His 200 random point run found that 752 three-point, 33 four-point and 2 five-point ley lines existed by chance alone, and suggested that Watkins' criterion of a five-point ley being almost impossible was unrealistic for large collections of points.
		The Hough array I used was 1000 by 1000, and the x and y values of random points were uniformly distributed between -.5 and +.5 units; thus r varied from -.5 û2 to +.5 û2.
	www.boo.net /~jasonp/leyline.html (3586 words)

	Spartanburg SC \| GoUpstate.com \| Spartanburg Herald-Journal (Site not responding. Last check: 2007-09-09)
		For example it is common to talk of star-shaped objects even though the number of points of the star is undefined.
		Objects which are geometrically similar either have the same shape or one has the same shape as the other's mirror image (or both if they are themselves symmetric).
		These techniques have been used to examine the alignments of random points.
	www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=shape (391 words)

	Ley Line Statistics
		Choose two random topics that have as little as possible to do with each other.
		The Hough array I used was 1000 by 1000, and the x and y values of random points were uniformly distributed between -.5 and +.5 units; thus r varied from -.5 * SQRT2 to +.5 * SQRT2.
		On a 25 mile by 25 mile OS map this translates to about.84 acres maximum; "large" points used in computer runs had an area of twice this much, very roughly (since two values of r were plotted for every A).
	www.geocities.com /athens/parthenon/6197/leystats.htm (3711 words)

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