Knots: Difference between revisions
added = Misc notes = reordered chapters |
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And use it to abandon the offset-overhand-bend and the reef-knot for extending length. | And use it to abandon the offset-overhand-bend and the reef-knot for extending length. | ||
Beyond that remember basic friction knots. <br> | |||
These are least integratable in the systematic schemes here but highly practical. <br> | |||
Here is a practicing trick that allows one to re-derive some knots via their interrelations. <br> | Here is a practicing trick that allows one to re-derive some knots via their interrelations. <br> | ||
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Carrick bend is similar to the zeppelin bend in safety and easy untyability after loading <br> | Carrick bend is similar to the zeppelin bend in safety and easy untyability after loading <br> | ||
but the former is interlocking unknots the latter is uinterlocking overhand knots. <br> | but the former is interlocking unknots the latter is uinterlocking overhand knots. <br> | ||
Sometimes tricky but many knots can be made into loops including e.g. the zeppelin bend. <br> | |||
= Relation to mathematical knots = | = Relation to mathematical knots = | ||
Revision as of 16:58, 27 December 2025
Knots are useful for rigging for one thing.
For why rigging may be relevant in the context of this wiki see page: Rigging
A problem the author spotted:
Practical knots are not documented very systematically.
A lack of such educational material that is systematic in its own understanding and presentation …
★ … leaves untapped the potential of learning knots much faster
★ … makes learning knots much harder and slower …
especially for people with systematic mindsets that are challenged with
remembering things out of context or with random ad-hoc mnenonic devices
that just shift the problem of lack of context.
The solution attempt here:
Find better ways to systematically cover practical knots to make it easier to learn them given systematically building contexts.
Treat all the knots as a by symmetries interwovenly connected body of knowledge.
Note that this page is NOT about mathematical knots and links which need to be one or more closed loops.
There exists some interesting work on a "periodic table of mathematical knots and links" but for
the aim here to make learning easier by organizing practical knots more systematically
this would not fit the purpose and miss the point.
Still there is huge room for more systematic organization and didactic presentation.
Interlocking overhand knots
(wiki-TODO: Add the "periodic table of interlinking overhand knots" graphic. And link to knot forum post.)
- https://en.wikipedia.org/wiki/Zeppelin_bend 🤝 ( https://en.wikipedia.org/wiki/Zeppelin_loop 🤠 & in-line 🛑)
- https://en.wikipedia.org/wiki/Butterfly_bend 🤝 ( https://en.wikipedia.org/wiki/Butterfly_loop 🤠)
- Shake_hands_bend (not on Wikipedia?) 🤝
- https://en.wikipedia.org/wiki/Ashley%27s_bend 🤝
- https://en.wikipedia.org/wiki/Hunter%27s_bend (or Rigger) 🤝
- https://en.wikipedia.org/wiki/True_lover%27s_knot 🌸
- And other unnamed bad 💩 ones but useful for full systematic coverage and mistake avoidance
- https://en.wikipedia.org/wiki/Fisherman%27s_knot 🤝
- https://en.wikipedia.org/wiki/Diamond_knot (ornamental) 🌸
Interlocking unknots
(wiki-TODO: Add illustrations.)
- https://en.wikipedia.org/wiki/Carrick_bend 🤝 ( https://en.wikipedia.org/wiki/Carrick_bend_loop 🤠)
- https://en.wikipedia.org/wiki/Reef_knot 🎁 (⚠️ do not use it for 🤝 as that is 💩 ☠️)
- https://en.wikipedia.org/wiki/Thief_knot 😈
- https://en.wikipedia.org/wiki/Granny_knot 💩 (even for 🎁)
- https://en.wikipedia.org/wiki/Grief_knot (granny + thief) 🤦
- https://en.wikipedia.org/wiki/Sheet_bend (two variants – loose ends on same sides 🤝 loose ends on opposite sides 💩)
- https://en.wikipedia.org/wiki/Bowline 🤠
- https://en.wikipedia.org/wiki/Cowboy_bowline 🤠
- https://en.wikipedia.org/wiki/Eskimo_bowline 🤠
- https://en.wikipedia.org/wiki/Cow_hitch (well known trivial) ⭕
- https://en.wikipedia.org/wiki/Clove_hitch ⭕
- ? https://en.wikipedia.org/wiki/Buntline_hitch ⭕
- ? https://en.wikipedia.org/wiki/Ground-line_hitch ⭕
- https://en.wikipedia.org/wiki/Constrictor_knot (self-dissolving) 🎁
- ? https://en.wikipedia.org/wiki/Strangle_knot (not unknot!) 🎁
- https://en.wikipedia.org/wiki/Noose 🤠⭕
- ?? https://en.wikipedia.org/wiki/Span_loop (self dissolving?) 🤠?
Ornamental:
- https://en.wikipedia.org/wiki/Reever_Knot 🌸
- https://en.wikipedia.org/wiki/Harness_bend 🌸
- https://en.wikipedia.org/wiki/Friendship_knot 🌸 ( https://en.wikipedia.org/wiki/Friendship_knot_loop 🌸)
Overhand knot variants
- https://en.wikipedia.org/wiki/Strangle_knot 🎁
- https://en.wikipedia.org/wiki/Noose (and double and multiple) 🤠⭕
- https://en.wikipedia.org/wiki/Double_overhand_noose (self dissolving) 🤠⭕
- https://en.wikipedia.org/wiki/Double_overhand_knot 🪢
- https://en.wikipedia.org/wiki/Fisherman%27s_knot 🤝
- https://en.wikipedia.org/wiki/Double_fisherman%27s_knot 🤝
- https://en.wikipedia.org/wiki/Triple_fisherman%27s_knot 🤝
Parallel threaded knots (or parallel threadable knots)
- https://en.wikipedia.org/wiki/Water_knot (overhand) 🤝?
- https://en.wikipedia.org/wiki/Offset_overhand_bend 🤝 💩 ☠️
- https://en.wikipedia.org/wiki/Overhand_loop 🤠 (not the noose)
- https://en.wikipedia.org/wiki/Flemish_bend (figure eight) 🤝
- https://en.wikipedia.org/wiki/Offset_figure-eight_bend 🤝
- https://en.wikipedia.org/wiki/Double_figure-eight_loop 🤠
- ( https://en.wikipedia.org/wiki/Figure-eight_loop 🤠 )
- ( https://en.wikipedia.org/wiki/Figure-eight_knot 🪢 )
- ( https://en.wikipedia.org/wiki/Overhand_knot 🪢 )
Friction knots
- https://en.wikipedia.org/wiki/Magnus_hitch (neater looking as line comes out parallel to incoming line) 💪
- https://en.wikipedia.org/wiki/Rolling_hitch ( https://en.wikipedia.org/wiki/Taut-line_hitch ) 💪
Midshipmans hitch has same base topology as the taut-line hitch merely a slightly different knot dressing - https://en.wikipedia.org/wiki/Jamming_knot 💪🤠🎁
- https://en.wikipedia.org/wiki/Farrimond_friction_hitch – more difficult to tie and dress but excellent slipped quick release
Legend
- 🪢 basic knot
- 🤝 bend - connecting end to end
- 💪 friction knot
- 💩 ☠️ bad and dangerous
- ⭕ hitch knot
- 🎁 packing knot
- 🤠 fixed noose
- 🤠⭕ sliding loop
- 💪🤠🎁 strangling loop
- 😈 secret tampering surveilance
- 🛑 stopper knot
- 🌸 ornamental
Misc notes
If you take just one or two things from here go for the mid rope tyable butterfly.
And use it to abandon the offset-overhand-bend and the reef-knot for extending length.
Beyond that remember basic friction knots.
These are least integratable in the systematic schemes here but highly practical.
Here is a practicing trick that allows one to re-derive some knots via their interrelations.
Allows for refreshing memory by tinkering a bit.
Try to intentionally manually capsize some named interlocking unknots to arrive at named hitches.
This works in many cases. Not for the carrick bend. For this one one gets a bad hitch that would be quite a mess.
Thus it does not capsize and is safe and good.
Carrick bend is similar to the zeppelin bend in safety and easy untyability after loading
but the former is interlocking unknots the latter is uinterlocking overhand knots.
Sometimes tricky but many knots can be made into loops including e.g. the zeppelin bend.
Relation to mathematical knots
There has been indeed discovered something like a periodic table of knots.
Giving a systemic scheme to programmatically generate all possible knots and links.
Minimum Braids: A Complete Invariant of Knots and Links https://arxiv.org/abs/math/0401051
There are several issues for bridging from this to practical knots.
- For every knot thee often are multiple way to dress it which is information that goes beyond the mere topology of the knot.
- Mathematical knots are always based on closed loop strings
Relation to nanoscale
Nanotubes are likely not very suitable to tie knots into them
as smaller bending radii will make them collapse king and cause breakage of covalent bonds.
Related
External links
- https://en.wikipedia.org/wiki/List_of_knot_terminology
- https://en.wikipedia.org/wiki/International_Guild_of_Knot_Tyers
- https://en.wikipedia.org/wiki/The_Ashley_Book_of_Knots
- https://en.wikipedia.org/wiki/List_of_knots
- https://en.wikipedia.org/wiki/Category:Knots
- https://en.wikipedia.org/wiki/Category:Bend_knots
- https://en.wikipedia.org/wiki/Category:Binding_knots
- https://en.wikipedia.org/wiki/Category:Jamming_knots
- https://en.wikipedia.org/wiki/Category:Loop_knots
- https://en.wikipedia.org/wiki/Category:Knot_stubs
- https://en.wikipedia.org/wiki/Category:Double_knots