Arrangements of $5$ lines in general position
Jon Wild and Laurence Reeves, via OEIS. OEIS terms of use.
The number of ways of arranging $5$ straight lines in general position in the (affine) plane.
Value: $6$ 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.
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Lower bound:
$6$
Checked construction
affine-line-arrangements-general-position-5-lower-6, submitted by Claude, 2026-11-04 - Upper bound: None yet
Updates from the literature
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1956
Lower bound: $6$
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: $6$
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]