1984
DOI: 10.2307/2689588
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Numerical Patterns and Geometrical Configurations

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Cited by 8 publications
(12 citation statements)
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“…A geometric configuration ( n m , g 3 ) is a set of n points and g lines with the following incidence rules [117, 105, 145]: Each line contains three points.Each point is on m lines.Two points determine at most one line.…”
Section: Cosmological Solutions From E10mentioning
confidence: 99%
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“…A geometric configuration ( n m , g 3 ) is a set of n points and g lines with the following incidence rules [117, 105, 145]: Each line contains three points.Each point is on m lines.Two points determine at most one line.…”
Section: Cosmological Solutions From E10mentioning
confidence: 99%
“…The configuration we will treat is the well known Desargues configuration , displayed in Figure 54. The Desargues configuration is associated with the 17th century French mathematician Gérard Desargues to illustrate the following “Desargues theorem” (adapted from [145]): Let the three lines defined by {4, 1}, {5, 2} and {6, 3} be concurrent, i.e., be intersecting at one point, say {7}. Then the three intersection points 8 ≡ {1, 2} ∩ {4, 5}, 9 ≡ {2, 3} ∩ {5, 6} and 10 ≡ {1, 3} ∩ {4, 6} are colinear .…”
Section: Cosmological Solutions From E10mentioning
confidence: 99%
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“…The configuration (10 3 , 10 3 ) 3 is associated with the 17 th century French mathematician Gérard Desargues to illustrate the following "Desargues theorem" (adapted from [17] Another way to say this is that the two triangles {1, 2, 3} and {4, 5, 6} in Figure 21 are in perspective from the point {7} and in perspective from the line {8, 10, 9}.…”
Section: The Petersen Algebramentioning
confidence: 99%
“…This configuration is (11 3 ) 17 , according to the (11 3 ) configuration labeling scheme initiated in [4] and referenced in [6], [7].…”
Section:  mentioning
confidence: 99%