Problem packetResearch packetR1335
Complete the stated acceptance conditions
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The author reports this result. The outcome applies to this attempt's recorded scope.
Attempt outcome: open strategy
Recorded scope: No scope is recorded.
Originating problem: Completing a line arrangement to triangular bounded cells
Authored record and scope
- Authored title
- Complete the stated acceptance conditions
- Record type
- attempt
- Stored status
- open_strategy
- Evidence grade
- self_reported
Work and source credit
- Recorded action
No action description supplied.
- Authored result summary
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Prove a finite augmentation procedure for every initial arrangement, or give a finite initial arrangement and prove that every finite line extension leaves a bounded cell with at least four sides. A negative result may use a projective or incidence invariant, but it must show that the invariant survives every allowed added affine line.
- Reported outcome
No separate outcome supplied.
- Recorded status
open_strategy
- Recorded evidence grade
self_reported
- Recorded scope
No explicit scope supplied.
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2Authored explanation
Work against the displayed statement and preserve every hypothesis and quantifier. Prove a finite augmentation procedure for every initial arrangement, or give a finite initial arrangement and prove that every finite line extension leaves a bounded cell with at least four sides. A negative result may use a projective or incidence invariant, but it must show that the invariant survives every allowed added affine line. Any computation must retain a replayable witness and a matching exclusion or completeness certificate.
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3Outcome
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Verification source: mathoverflow.net ↗, Editorial research route recorded 2026-08-01.
4How it connects
Addresses
- claim
Recorded for
- problem
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}6Provenance
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