This calculator converts user-selected rope-diameter factors into millimetre ranges. It does not establish required tail or bight dimensions, prove correct dressing, predict release, or approve the knot for a load or safety application.
Slip Knot · Selected Diameter-Factor Ledger
Convert selected rope-diameter factors to millimetre ranges without implying universal knot dimensions or load suitability.
Equation Used
- Rope diameter is a selected nominal dimension.
- Each low/high pair is sorted numerically before conversion.
- The topology drawing is schematic and not a tying procedure.
- Rope construction, condition, dressing, backup, loads, strength, release reliability and safety are excluded.
Factor pairs are sorted before multiplication. They remain selected ledger values, not recommendations or acceptance limits.
Slipped-loop topology reference
The illustration labels a standing part, slipped bight, knot body and free tail. The bight highlight changes with the cycle to distinguish a retained loop from an illustrative withdrawal; it is not a tying procedure or physical simulation.
What the calculator determines
Select rope diameter and two factors for each ledger range. The calculator sorts each pair and multiplies by diameter to report low and high tail and bight dimensions.
Selected factor conversion
tail low = d·min(Ft1,Ft2); tail high = d·max(Ft1,Ft2); bight low = d·min(Fb1,Fb2); bight high = d·max(Fb1,Fb2).
Selected-input arithmetic
For d = 10 mm, tail factors 5 and 6 produce 50–60 mm, while bight factors 8 and 12 produce 80–120 mm.
Ledger, not rope-system guidance
Appropriate knot, tail, bight and backup depend on rope construction and condition, material, diameter, loading, motion, environment, application, training and governing procedures. Jamming, capsizing, migration, strength loss, release reliability and safety are not predicted.
Questions
Are the selected factors recommendations?
No. They are user-selected dimensional multipliers only.
Can this diagram be used as tying instruction?
No. Use qualified instruction and the procedure appropriate to the exact rope system and application.
References & Further Reading
- Wikipedia contributors. Slip knot. Wikipedia
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