# Orchard-Planting Problem

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A set of lines passing through a finite set of points is called a *configuration*. The term *orchard problem* comes from looking down at the points as if they were trees. Find the following configurations:
1. 10 lines with 3 points each (use 9 points)
2. 5 lines with 4 points each (use 10 points)
3. 18 points with no lines of 3 or more points (on a 9×9 grid)
You can drag points.
You can find the solutions by setting the random seed to 1, 2, or 3.

Contributed by: Ed Pegg Jr (December 2010)

Open content licensed under CC BY-NC-SA

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detailSectionParagraph## Permanent Citation

"Orchard-Planting Problem"

http://demonstrations.wolfram.com/OrchardPlantingProblem/

Wolfram Demonstrations Project

Published: December 6 2010