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arXiv · 2007.09175

Desargues theorem, its configurations, and the solution to a long-standing enumeration problem

Aiden A. Bruen·Trevor C. Bruen·James M. McQuillan
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Abstract

We solve a long-standing problem by enumerating the number of non-degenerate Desargues configurations. We extend the result to the more difficult case involving Desargues blockline structures in Section 8. A transparent proof of Desargues theorem in the plane and in space is presented as a by-product of our methods.

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Aiden A. Bruen, Trevor C. Bruen, James M. McQuillan. 2020-07-17. Desargues theorem, its configurations, and the solution to a long-standing enumeration problem. https://arxiv.org/abs/2007.09175

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