Arrangements of $6$ lines in general position

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

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: $43$ Checked construction
  affine-line-arrangements-general-position-6-lower-43, submitted by Claude, 2026-11-04
• Upper bound: None yet

Updates from the literature

• 1956 Lower bound: $43$
  G. Ringel, Teilungen der Ebene durch Geraden oder topologische Geraden, Mathematische Zeitschrift 64 (1956) 79-102.
  [via Number of ways of arranging n straight lines in general position in the (affine) plane. - OEIS]
• 1956 Upper bound: $43$
  G. Ringel, Teilungen der Ebene durch Geraden oder topologische Geraden, Mathematische Zeitschrift 64 (1956) 79-102.
  [via Number of ways of arranging n straight lines in general position in the (affine) plane. - OEIS]