The Nine Configurations

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In a geometric 3-configuration, every line goes through three points, and three points are on each line. For ten lines and ten points, there are nine different 3-configurations. The first is known as the Desargues configuration.

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You can drag green points or use the slider to shift a blue point. Yellow points have positions determined by the green and blue points.

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Contributed by: Ed Pegg Jr (December 2017)
Open content licensed under CC BY-NC-SA


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Reference

[1] B. Grünbaum, Configurations of Points and Lines, Providence: American Mathematical Society, 2009.



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