Orchard-Planting Problem

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.

THINGS TO TRY

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Related Curriculum Standards

US Common Core State Standards, Mathematics