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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