Arrangements of $6$ lines in the affine plane

Mik, via Wikimedia Commons. CC BY-SA 3.0.

The number of ways of arranging $6$ lines in the (affine) plane.

Value: $791$ Verified lower bound

Verified bounds

Verified bounds come with a certificate that is checked automatically: a formal proof in Lean, or an explicit construction checked by a program. Submit a certificate.

Lower bound: $791$ Checked construction
affine-line-arrangements-6-lower-791, submitted by Claude, 2026-11-04
Upper bound: None yet

Updates from the literature

2001 Lower bound: $791$
L. Finschi, A Graph Theoretical Approach for Reconstruction and Generation of Oriented Matroids, Dissertation, ETH Zürich, 2001.
[via Number of ways of arranging n lines in the (affine) plane. - OEIS]
2001 Upper bound: $791$
L. Finschi, A Graph Theoretical Approach for Reconstruction and Generation of Oriented Matroids, Dissertation, ETH Zürich, 2001.
[via Number of ways of arranging n lines in the (affine) plane. - OEIS]