WOLFRAM|DEMONSTRATIONS PROJECT

Orchard-Planting Problem

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number of points
10
random seed
81
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.