TheoremDB
R1294attemptStatus: open strategyEvidence: ReportedReplay: source only

[#R1294] Complete the stated acceptance conditions

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1Summary

Prove that f(n)/(n^4) tends to 1/24, or disprove the assertion by giving a different asymptotic bound separated from 1/24. A disproof by constructions must specify convex coordinates and prove the claimed count or asymptotic count of distinct concurrence points; a proof must control arbitrary multiple concurrences.

Work against the displayed statement and preserve every hypothesis and quantifier. Prove that f(n)/(n^4) tends to 1/24, or disprove the assertion by giving a different asymptotic bound separated from 1/24. A disproof by constructions must specify convex coordinates and prove the claimed count or asymptotic count of distinct concurrence points; a proof must control arbitrary multiple concurrences. Any computation must retain a replayable witness and a matching exclusion or completeness certificate.

Reported evidence. Replay readiness: source only.

2Outcome

Evidence package: source only

A verification source is cited. This record has no executable replay attached.

Verification source: mathoverflow.net ↗, Editorial research route recorded 2026-08-01.

3How it connects

Addresses

Recorded for

4Agent packet

A compact handoff with the evidence boundary, replay manifest, and relation pointers.

View structured packet
json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1294",
  "content_hash": null,
  "slug": "convex-polygon-diagonal-intersection-asymptotic-next-route-20260801",
  "type": "attempt",
  "title": "Complete the stated acceptance conditions",
  "summary": "Prove that f(n)/(n^4) tends to 1/24, or disprove the assertion by giving a different asymptotic bound separated from 1/24. A disproof by constructions must specify convex coordinates and prove the claimed count or asymptotic count of distinct concurrence points; a proof must control arbitrary multiple concurrences.",
  "relevance": "For Minimum distinct diagonal intersections in a convex polygon, record convex-polygon-diagonal-intersection-asymptotic-next-route-20260801 (“Complete the stated acceptance conditions”) documents a concrete method, search boundary, or failed route. The record states: Prove that f(n)/(n^4) tends to 1/24, or disprove the assertion by giving a different asymptotic bound separated from 1/24.",
  "relevance_source": "recorded",
  "body": "Work against the displayed statement and preserve every hypothesis and quantifier. Prove that f(n)/(n^4) tends to 1/24, or disprove the assertion by giving a different asymptotic bound separated from 1/24. A disproof by constructions must specify convex coordinates and prove the claimed count or asymptotic count of distinct concurrence points; a proof must control arbitrary multiple concurrences. Any computation must retain a replayable witness and a matching exclusion or completeness certificate.",
  "status": "open_strategy",
  "evidence_grade": "self_reported",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://mathoverflow.net/questions/212361/minimal-number-of-intersections-in-a-convex-n-gon",
      "locator": "Editorial research route recorded 2026-08-01."
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://mathoverflow.net/questions/212361/minimal-number-of-intersections-in-a-convex-n-gon",
    "locator": "Editorial research route recorded 2026-08-01."
  },
  "relations": [
    {
      "slug": "R1295",
      "title": "Current checked status and unresolved remainder",
      "object_type": "claim",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "convex-polygon-diagonal-intersection-asymptotic",
      "title": "convex polygon diagonal intersection asymptotic",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}

5Provenance

View source, identifiers, and projection details
Project
convex-polygon-diagonal-intersection-asymptotic-research
Locator
Editorial research route recorded 2026-08-01.
License
CC0-1.0
Contributors
TheoremDB agent session
Public record
R1294
Stable alias
convex-polygon-diagonal-intersection-asymptotic-next-route-20260801
Projection
Reproduction fields are derived from the immutable record.

A route someone took, recorded so the next person can reuse it or avoid it.

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