Knots: Difference between revisions

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→Misc tips and notes: double overhand noose, mid rope tieable knots, more on the butterfly
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= Misc tips and notes =
= Misc tips and notes =


If you take just one or two things from here go for the mid rope tyable butterfly. <br>
'''If you take just one things from here go for the butterfly loop.''' <br>
And use it to '''abandon the offset-overhand-bend and the reef-knot for extending rope length'''.
Use it to '''abandon the offset-overhand-bend and the reef-knot for extending rope length''' <br>
''These two unfortunately are the worst possible choices that are thought and known the most.'' <br>
Learn at least one mid rope tying technique for the butterfly loop. There are two common ones.<br>
For end-to-end of rope joining (butterfly bend) without any extra memorization, <br>
you can treat the open ends as if it were a connected loop. <br>
Use any random temporary junk-knot if it helps. Untie the junk knot after the zeppelin is formed. <br>


Beyond that remember basic friction knots. <br>
Beyond that remember basic '''friction knots'''. <br>
These are least integratable in the systematic schemes here but highly practical. <br>
These are least integratable in the systematic schemes here but highly practical. <br>
Rolling hitch (and optionally magnus hitch as neat variant) <br>
Rolling hitch (and optionally magnus hitch as neat variant) <br>
Inward oriented for packing and outward oriented for tensioning. <br>
Inward oriented for packing and outward oriented for tensioning. <br>


Here is a practicing trick that … <br>
The double overhand noose is nice for a tightening loop that <br>
can self-dissolve when it can be pulled from a carabiner or stick. <br>
 
Here is a '''practicing trick''' that … <br>
– allows one to re-derive some knots via their interrelations. <br>
– allows one to re-derive some knots via their interrelations. <br>
– allows for refreshing memory by tinkering a bit. <br>
– allows for refreshing memory by tinkering a bit. <br>
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The carrick bend is similar to the zeppelin bend in safety and easy untiability after loading <br>
The carrick bend is similar to the zeppelin bend in safety and easy untiability after loading <br>
but the former is interlocking unknots the latter is interlocking overhand knots. <br>
but the former is interlocking unknots the latter is interlocking overhand knots. <br>
'''Mid rope tieable knots without access to the ends are nice.''' <br>
Beside the butterfly loop there is also the constrictor knot which has this property too. <br>
The constrictor is a (hard to untie) hitch though with very different application cases. <br>
There is also the very trivial most basic slip knot that can be handy in cases. <br>


'''Tricky:''' <br>
'''Tricky:''' <br>

Revision as of 17:41, 27 December 2025

This article is a stub. It needs to be expanded.

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

Error creating thumbnail: Unable to run external programs, proc_open() is disabled.
All basic interlocking overhand knots. Systematic coverage of all combinatorically possibilities. Featuring all to the six possible transformations.

(wiki-TODO: Add the "periodic table of interlinking overhand knots" graphic. And link to knot forum post.)

Interlocking unknots

(wiki-TODO: Add illustrations.)

Ornamental:

Overhand knot variants

Parallel threaded knots (or parallel threadable knots)

Friction knots

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 tips and notes

If you take just one things from here go for the butterfly loop.
Use it to abandon the offset-overhand-bend and the reef-knot for extending rope length
These two unfortunately are the worst possible choices that are thought and known the most.
Learn at least one mid rope tying technique for the butterfly loop. There are two common ones.
For end-to-end of rope joining (butterfly bend) without any extra memorization,
you can treat the open ends as if it were a connected loop.
Use any random temporary junk-knot if it helps. Untie the junk knot after the zeppelin is formed.

Beyond that remember basic friction knots.
These are least integratable in the systematic schemes here but highly practical.
Rolling hitch (and optionally magnus hitch as neat variant)
Inward oriented for packing and outward oriented for tensioning.

The double overhand noose is nice for a tightening loop that
can self-dissolve when it can be pulled from a carabiner or stick.

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 (and vice-versa).
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.
The carrick bend is similar to the zeppelin bend in safety and easy untiability after loading
but the former is interlocking unknots the latter is interlocking overhand knots.

Mid rope tieable knots without access to the ends are nice.
Beside the butterfly loop there is also the constrictor knot which has this property too.
The constrictor is a (hard to untie) hitch though with very different application cases.
There is also the very trivial most basic slip knot that can be handy in cases.

Tricky:
★ Many knots can be made into loops including e.g. the zeppelin bend.
★ With access to an end the interlocking overhand knots can be tied mid rope
– as stopper knots for the ones that would come out at opposing ends (i.e. normally loose ends fused and minimal length)
– as loops for the ones that come out at same side (i.e. normally loose ends make a loop)

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

Knot forum discussions

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