Partial Geometry

An incidence structure consists of points, lines, and flags where a point is said to be incident with a line if . It is a (finite) partial geometry if there are integers such that:

  • For any pair of distinct points and, there is at most one line incident with both of them.
  • Each line is incident with points.
  • Each point is incident with lines.
  • If a point and a line are not incident, there are exactly pairs, such that is incident with and is incident with .

A partial geometry with these parameters is denoted by .

Read more about Partial Geometry:  Properties, Special Case, See Also

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    Bible: Hebrew, Deuteronomy 1:17.

    ... geometry became a symbol for human relations, except that it was better, because in geometry things never go bad. If certain things occur, if certain lines meet, an angle is born. You cannot fail. It’s not going to fail; it is eternal. I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total. Thus, I’m able to avoid or manipulate or process pain.
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