Can there exist 100 lines in the plane, no three concurrent, such that they intersect in exactly 2002 points?

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Can there exist 100 lines in the plane, no three concurrent, such that ...
It's not. It's a problem in number theory. The geometry part is almost entirely a red herring. ... Can there exist 100 lines in the plane, no three concurrent, such that they intersect in exactly 2002 points? .... If between 2 points is exactly 1 line, shouldn't there be a line intersecting 2 points on the circumference of ...
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Projective plane - Wikipedia
In mathematics, a projective plane is a geometric structure that extends the concept of a plane. In the ordinary Euclidean plane, two lines typically intersect in a single point, but there are some pairs of lines (namely, parallel lines) that do not intersect. A projective plane can be thought of as an ordinary plane equipped with ... There are four points such that no line is incident with more than two of them.
For more information, see Projective plane - Wikipedia
I found an answer from www.guggenheim.org
Navigating the Ocean of Streams of Story Grahame Weinbren
is in its erasure of the line between writer and reader—Haroun's father ... early that it will not have the shape of narrative as we have come to understand it since ...
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I found an answer from math.stackexchange.com
combinatorics - Are these lines going to meet in exactly 2002 points ...
As others have pointed out, you need to start out by partitioning the lines into ... The number of points of intersections is then 2002=∑1≤i<j≤kninj. .... Suppose there are some lines on a plane such that no two of them are parallel. ... Now the third line will intersect both of existing lines in 2 points and a3=2.
For more information, see combinatorics - Are these lines going to meet in exactly 2002 points ...