Knots
Knots are useful for rigging for one thing.
For why rigging may be relevant in the context of this wiki see page: Rigging
Problem: Practical knots are not documented very systematically.
This makes learning them much faster via systematical understanding impossible and thus much slower.
Solution attempt here: Find better ways to systematically cover them to make it easier to learn them.
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 🎁
- https://en.wikipedia.org/wiki/Thief_knot 😈
- https://en.wikipedia.org/wiki/Granny_knot 💩
- 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
- 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 🪢 )
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
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.
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
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