• Corpus ID: 1886120

Which (n 4 ) Configurations Exist ?

@inproceedings{GrnbaumWhich4,
  title={Which (n 4 ) Configurations Exist ?},
  author={Branko Gr{\"u}nbaum}
}
An (n k) configuration is a family of n points and n (straight) lines in the Euclidean plane such that each point is on precisely k of the lines, and each line contains precisely k of the points. While the study of (n 3) configurations goes back more than a century, very little has been written about the geometric (n k) configurations for k ≥ 4. (See [1], [2], [3], [4], which seems to be a complete list of published references on this topic.) It is well known that there exist (n k… 
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  • Mathematics, Physics
    Discret. Comput. Geom.
  • 2001
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References

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A family of n points and n (straight) lines in the Euclidean plane is said to be an (n 4) configuration provided each point is on four of the lines and each line contains four of the points. A
The Real Configuration (214)
The configuration (21 4 ), considered by Klein, Burnside, Coxeter and others, is realized by points and lines in the real projective plane
Astral (n k ) configurations
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Sur les configurations planes n 4
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