| Revision as of 22:45, 21 January 2002 editTarquin (talk | contribs)14,993 edits request for maths knot theory← Previous edit | Revision as of 03:11, 3 February 2002 edit undoConversion script (talk | contribs)10 editsm Automated conversionNext edit → | ||
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| Both ] and ] are measured in knots; in the former case, it is equivalent to a ]; in the latter, to a Nautical mile per hour. | Both ] and ] are measured in knots; in the former case, it is equivalent to a ]; in the latter, to a Nautical mile per hour. | ||
| ---- | ---- | ||
| A '''knot''' consist of lengths of one or several ]s, coiled through themselves in a way to produce a structural altering the characteristics of the rope. Knots may be used for fastening ropes to other structures, other ropes, or to let a rope slide along another rope. | A '''knot''' consist of lengths of one or several ]s, coiled through themselves in a way to produce a structural altering the characteristics of the rope. Knots may be used for fastening ropes to other structures, other ropes, or to let a rope slide along another rope. | ||
| Knots are instrumental in ] and ], and many other activities. | Knots are instrumental in ] and ], and many other activities. | ||
| '''Well known knots include''': | '''Well known knots include''': | ||
| * noose | * noose | ||
| * slip | * slip | ||
| * bowline | * bowline | ||
| * sheet bend | * sheet bend | ||
| * square | * square | ||
| * figure eight | * figure eight | ||
| * overhand | * overhand | ||
| * single stopper | * single stopper | ||
| * double stopper | * double stopper | ||
| * reef knot | * reef knot | ||
| * clove hitch | * clove hitch | ||
| * half hitch | * half hitch | ||
| * italian hitch | * italian hitch | ||
| <i>descriptions and tying instructions should be added</i> | <i>descriptions and tying instructions should be added</i> | ||
| In ], a knot is an embedding of a circle in 3-D space, considered up to deformations (isotopies). This is basically equivalent to a conventional knot with the ends of the string tied together to prevent it from becoming undone. In higher dimensions, circles are unknotted anyways, so one considers embeddings of spheres and hyperspheres. | |||
| <i>should mathematical knot theory be described here? I don't think there's an article on it yet; or at least I haven't found one by searching & Maths main page doesn't mention it.</i> | |||
| Higher dimension trivia: knots in ropes are impossible in dimensions higher than the third dimension. | |||
| See also: ] | See also: ] | ||
Revision as of 03:11, 3 February 2002
Both length and velocity are measured in knots; in the former case, it is equivalent to a Nautical mile; in the latter, to a Nautical mile per hour.
A knot consist of lengths of one or several ropes, coiled through themselves in a way to produce a structural altering the characteristics of the rope. Knots may be used for fastening ropes to other structures, other ropes, or to let a rope slide along another rope.
Knots are instrumental in sailing and climbing, and many other activities.
Well known knots include:
- noose
- slip
- bowline
- sheet bend
- square
- figure eight
- overhand
- single stopper
- double stopper
- reef knot
- clove hitch
- half hitch
- italian hitch
descriptions and tying instructions should be added
In knot theory, a knot is an embedding of a circle in 3-D space, considered up to deformations (isotopies). This is basically equivalent to a conventional knot with the ends of the string tied together to prevent it from becoming undone. In higher dimensions, circles are unknotted anyways, so one considers embeddings of spheres and hyperspheres.
See also: Scouting