Conjecture Fieldbook

What constant 1

Source placement record

What constant 1.1 < a ≤ 10.76 {\displaystyle 1.1<a\leq 10.76} {\displaystyle 1.1<a\leq 10.76} governs the lower bound of a closed knot K {\displaystyle K} {\displaystyle K}'s minimum ropelength L ( K ) ≥ a Cr ⁡ ( K ) 3 / 4 {\displaystyle L(K)\geq a\operatorname {Cr} (K)^{3/4}} {\displaystyle L(K)\geq a\operatorname {Cr} (K)^{3/4}}?

Here is what the pinned source says, where it came from, and what still needs editorial review.

Source status
Open
Field
Geometry · Euclidean geometry
Record type
Revision-pinned source placement
Verification
Source-index reviewed
Source grade
secondary
Reviewed
2026-07-27T18:04:33.834Z

Context and review boundary

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Formal boundary

No independent formal statement has been added to this source-index record. This prevents the catalog from inventing notation or silently strengthening the cited claim.

Known approaches and partial results

Pending review. No structured approach or partial-result note has been added to this source placement.

Source trail

  1. Wikipedia list subsection — Exact Geometry › Euclidean geometry subsection in the revision-pinned source.
  2. Pinned source revision 1366281547 — Revision-pinned snapshot from 7/27/2026.