https://katlas.org/api.php?action=feedcontributions&feedformat=atom&user=Rosslahaye 2026-06-13T19:34:34Z User contributions MediaWiki 1.39.6 https://katlas.org/index.php?title=6_2_Quick_Notes&diff=1725870 2025-11-11T21:53:02Z

<p>Rosslahaye: Added note on crabber&#039;s eye knot.</p> <hr /> <div>[[User:drorbn|Dror]] likes to call [[6_2]] &quot;The Miller Institute Knot&quot;, as it is the logo of the [http://ist-socrates.berkeley.edu/~4mibrs/ Miller Institute for Basic Research].<br /> <br /> The bowline knot of practical knot tying deforms to [[6_2]].<br /> <br /> It looks like the crabber's eye knot of practical knot tying deforms to [[6_2]] also, although the bowline and crabber's eye knot are considered different knots in practical knot tying, given how they are tied, and insofar as how they carry load differently based upon that.</div>

Rosslahaye https://katlas.org/index.php?title=5_2_Quick_Notes&diff=1725833 2025-03-04T16:05:34Z

<p>Rosslahaye: Practical knot tying note</p> <hr /> <div>[[5_2]] is also known as the 3-twist knot.<br /> <br /> The Bowstring knot of practical knot tying deforms to 5_2.</div>

Rosslahaye https://katlas.org/index.php?title=6_3_Quick_Notes&diff=1725832 2025-03-04T16:03:31Z

<p>Rosslahaye: Practical knot tying note</p> <hr /> <div>The Eskimo bowline knot of practical knot tying deforms to 6_3. The standard bowline is at 6_2.</div>

Rosslahaye https://katlas.org/index.php?title=7_7_Quick_Notes&diff=1725831 2024-12-08T23:17:02Z

<p>Rosslahaye: Practical knot tying note</p> <hr /> <div>This is the Chinese crown loop of practical knot tying.</div>

Rosslahaye https://katlas.org/index.php?title=7_4_Quick_Notes&diff=1725830 2024-12-08T23:16:22Z

<p>Rosslahaye: Moved incorrect note from her to 7_7 where it belongs</p> <hr /> <div>Simplest version of [[Endless knot symbol]].</div>

Rosslahaye https://katlas.org/index.php?title=10_124_Quick_Notes&diff=1725829 2024-12-02T19:36:57Z

<p>Rosslahaye: </p> <hr /> <div>[[10_124]] is also known as the torus knot [[T(5,3)]] or the pretzel knot P(5,3,-2). It is one of two knots which are both torus knots and pretzel knots, the other being [[8_19]] = [[T(4,3)]] = P(3,3,-2).<br /> <br /> It seems like the prior statement is incorrect. I suspect what this should say is [[10_124]] and [[8_19]] are the only torus knots which are also almost alternating. See page 108 in the Encyclopedia of Knot Theory. Confirmation of this is that [[3_1]] is the pretzel knot P(1,1,1), i.e., the right-handed trefoil. It looks like [[5_1]] is a pretzel knot also, and so on, i.e. [[7_1]], [[9_1]], and should include the Hopf link and the Solomon link etc. These are torus knots/links also.</div>

Rosslahaye https://katlas.org/index.php?title=10_124_Quick_Notes&diff=1725828 2024-12-02T19:33:04Z

<p>Rosslahaye: Possible correction to a claim</p> <hr /> <div>[[10_124]] is also known as the torus knot [[T(5,3)]] or the pretzel knot P(5,3,-2). It is one of two knots which are both torus knots and pretzel knots, the other being [[8_19]] = [[T(4,3)]] = P(3,3,-2).<br /> <br /> It seems like the prior statement is incorrect. I suspect what this should say is [[10_124]] and [[8_19]] are the only torus knots which are also almost alternating. See page 108 in the Encyclopedia of Knot Theory. Confirmation of this is that [[3_1]] is the pretzel knot (1,1,1), i.e., the right-handed trefoil. It looks like [[5_1]] is a pretzel knot also, and so on. These are torus knots also.</div>

Rosslahaye https://katlas.org/index.php?title=7_4_Quick_Notes&diff=1725827 2024-11-26T19:39:55Z

<p>Rosslahaye: Practical knot tying information</p> <hr /> <div>Simplest version of [[Endless knot symbol]].<br /> <br /> This is the Chinese crown loop of practical knot tying.</div>

Rosslahaye https://katlas.org/index.php?title=6_2_Quick_Notes&diff=1725823 2024-11-15T23:27:03Z

<p>Rosslahaye: Practical knot information</p> <hr /> <div>[[User:drorbn|Dror]] likes to call [[6_2]] &quot;The Miller Institute Knot&quot;, as it is the logo of the [http://ist-socrates.berkeley.edu/~4mibrs/ Miller Institute for Basic Research].<br /> <br /> The bowline knot of practical knot tying deforms to [[6_2]].</div>

Rosslahaye https://katlas.org/index.php?title=L2a1_Quick_Notes&diff=1725822 2024-11-15T23:22:58Z

<p>Rosslahaye: Practical knot information</p> <hr /> <div>[[L2a1]] is &lt;math&gt;2^2_1&lt;/math&gt; in Rolfsen's table of links. It is also known as the &quot;Hopf Link&quot;.<br /> <br /> The sheet bend of practical knot tying deforms to the Hopf link.</div>

Rosslahaye https://katlas.org/index.php?title=8_20_Quick_Notes&diff=1725821 2024-11-15T23:18:06Z

<p>Rosslahaye: Practical knot information</p> <hr /> <div>[[8_20]] is also known as the pretzel knot P(3,-3,2).<br /> <br /> Its complement contains no complete totally geodesic immersed surfaces.{{citation needed}}<br /> <br /> This appears to be the Ashley/oysterman stopper knot of practical knot tying.</div>

Rosslahaye https://katlas.org/index.php?title=5_1_Quick_Notes&diff=1725820 2024-11-15T23:14:28Z

<p>Rosslahaye: Practical knot information</p> <hr /> <div>An interlaced pentagram, this is known variously as the &quot;Cinquefoil Knot&quot;, after certain herbs and shrubs of the rose family which have 5-lobed leaves and 5-petaled flowers (see e.g. [http://www.nature.com/nsu/001214/001214-8.html]),<br /> as the &quot;Pentafoil Knot&quot; (visit [http://wwwhome.cs.utwente.nl/~jagersaa/ Bert Jagers'] [http://wwwhome.cs.utwente.nl/~jagersaa/Knopen/IndexP.html pentafoil page]),<br /> as the &quot;Double Overhand Knot&quot;, as [[5_1]], or finally as the torus knot [[T(5,2)]].<br /> <br /> When taken off the post the strangle knot (hitch) of practical knot tying deforms to [[5_1]]</div>

Rosslahaye https://katlas.org/index.php?title=8_18_Quick_Notes&diff=1725819 2024-11-15T23:08:39Z

<p>Rosslahaye: </p> <hr /> <div>According to ''Mathematical Models'' by H. Martyn Cundy and A.P. Rollett, second edition, 1961 (Oxford University Press), p. 57, a flat ribbon or strip can be tightly folded into a heptagonal 8_18 knot (just as it can be tightly folded into a [[:Image:Overhand-folded-ribbon-pentagram.png|pentagonal trefoil knot]]).<br /> <br /> This is the Carrick loop of practical knot tying. The Carrick bend of practical knot tying can be found at &lt;math&gt;8^2_{7}&lt;/math&gt;.</div>

Rosslahaye https://katlas.org/index.php?title=8_18_Quick_Notes&diff=1725818 2024-11-15T23:07:37Z

<p>Rosslahaye: </p> <hr /> <div>According to ''Mathematical Models'' by H. Martyn Cundy and A.P. Rollett, second edition, 1961 (Oxford University Press), p. 57, a flat ribbon or strip can be tightly folded into a heptagonal 8_18 knot (just as it can be tightly folded into a [[:Image:Overhand-folded-ribbon-pentagram.png|pentagonal trefoil knot]]).<br /> <br /> This is the Carrick loop of practical knot tying. The Carrick bend of practical knot tying can be found at &lt;math&gt;8^2_{7}&lt;&gt;.</div>

Rosslahaye https://katlas.org/index.php?title=8_18_Quick_Notes&diff=1725817 2024-11-15T23:06:36Z

<p>Rosslahaye: First edit to relate more mathematical knots to practical knots. Feel this bridges the two areas nicely and may provide insight in both directions.</p> <hr /> <div>According to ''Mathematical Models'' by H. Martyn Cundy and A.P. Rollett, second edition, 1961 (Oxford University Press), p. 57, a flat ribbon or strip can be tightly folded into a heptagonal 8_18 knot (just as it can be tightly folded into a [[:Image:Overhand-folded-ribbon-pentagram.png|pentagonal trefoil knot]]).<br /> <br /> This is the Carrick loop of practical knot tying. The Carrick bend of practical knot tying can be found at &lt;math&gt;8^2_{7}.</div>

Rosslahaye