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- Alignments_of_random_points abstract "Alignments of random points, as shown by statistics, can be found when a large number of random points are marked on a bounded flat surface. This might be used to show that ley lines exist due to chance alone (as opposed to supernatural or anthropological explanations).One precise definition which expresses the generally accepted meaning of "alignment" as:A set of points, chosen from a given set of landmark points, all of which lie within at least one straight path of a given width w"Straight path of width w" may be defined as the set of all points within a distance of w/2 of a straight line on a plane, or a great circle on a sphere, or in general any geodesic on any other kind of manifold. Note that, in general, any given set of points that are aligned in this way will contain a large number of infinitesimally different straight paths. Therefore, only the existence of at least one straight path is necessary to determine whether a set of points is an alignment. For this reason, it is easier to count the sets of points, rather than the paths themselves.The width w is important: it allows the fact that real-world features are not mathematical points, and that their positions need not line up exactly for them to be considered in alignment. Alfred Watkins, in his classic work on ley lines The Old Straight Track, used width of a pencil line on a map as the threshold for the tolerance of what might be regarded as an alignment. For example, using a 1 mm pencil line to draw alignments on an 1:50,000 Ordnance Survey map, a suitable value of w would be 50 m.".
- Alignments_of_random_points thumbnail Ley_lines.svg?width=300.
- Alignments_of_random_points wikiPageID "289860".
- Alignments_of_random_points wikiPageRevisionID "581678877".
- Alignments_of_random_points hasPhotoCollection Alignments_of_random_points.
- Alignments_of_random_points subject Category:Euclidean_geometry.
- Alignments_of_random_points subject Category:Statistical_randomness.
- Alignments_of_random_points comment "Alignments of random points, as shown by statistics, can be found when a large number of random points are marked on a bounded flat surface.".
- Alignments_of_random_points label "Alignments of random points".
- Alignments_of_random_points label "ランダムに配した点がなす直線".
- Alignments_of_random_points sameAs ランダムに配した点がなす直線.
- Alignments_of_random_points sameAs m.01qfqq.
- Alignments_of_random_points sameAs Q4726582.
- Alignments_of_random_points sameAs Q4726582.
- Alignments_of_random_points wasDerivedFrom Alignments_of_random_points?oldid=581678877.
- Alignments_of_random_points depiction Ley_lines.svg.
- Alignments_of_random_points isPrimaryTopicOf Alignments_of_random_points.
