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In this coloring the three strands at every crossing have three different colors. Coloring one but not both of the trefoil knots all red would also give an admissible coloring. The true lover's knot is also tricolorable. [4] Tricolorable knots with less than nine crossings include 6 1, 7 4, 7 7, 8 5, 8 10, 8 11, 8 15, 8 18, 8 19, 8 20, and 8 21.
5 1 knot/Cinquefoil knot, (5,2)-torus knot, Solomon's seal knot, pentafoil knot - a prime knot with crossing number five which can be arranged as a {5/2} star polygon ; 5 2 knot/Three-twist knot - the twist knot with three-half twists; 6 1 knot/Stevedore knot (mathematics) - a prime knot with crossing number six, it can also be described as a ...
Cinquefoil knot: 5 1: 5a2 6 8 10 2 4 [5] 12345:12345 Three-twist knot: 5 2: 5a1 4 8 10 2 6 [32] 12345:12543 1231\452354 Stevedore knot: 6 1: 6a3 4 8 12 10 2 6 [42 ...
6′8" 203 4'5" 135 5′3½" 161 13.0: 182: 82½ 6′11" 211 4'7" 140 5′6" 168 12.5: 175: 79¼ 7′3" 221 4'9½" 146 5′8½" 174 12.0: 168: 76¼ 7′6" 229 5'0" 152 5′11½" 182 11.5: 161: 73 7′10" 239 5'2½" 159 6′2½" 189 11.0: 154: 70 8′2" 249 5'5" 165 6′6" 198 10.5: 147: 66⅔ 8′7" 262 5'8½" 174 6′9½" 207 10.0: 140: 63½ 9 ...
A tenkara rod is chosen based on the environment it will be used; [8] whereas tenkara rods are typically longer than most other fishing rods, a tenkara rod's length has the distinct advantage of reaching across currents. Tenkara line: As in fly-fishing, it is the tenkara line that propels the weightless fly forward. In tenkara, the traditional ...
The Knot Atlas is a website, an encyclopedia rather than atlas, dedicated to knot theory. It and its predecessor were created by mathematician Dror Bar-Natan, who maintains the current site with Scott Morrison. According to Schiller, the site contains, "beautiful illustrations and detailed information about knots," as does KnotPlot.com. [1]
The Knot Bible: The Complete Guide to Knots and Their Uses, page 143. A & C Black. ISBN 9781408155875. Budworth, Geoffrey (2012). The Knot Book Hachette UK. ISBN 9780716023159. Finazzo, Scott (2016). Prepper's Guide to Knots: The 100 Most Useful Tying Techniques for Surviving any Disaster, page 117, Ulysses Press. ISBN 9781612436302.
The discovery of all possible ways to tie a tie depends on a mathematical formulation of the act of tying a tie. In their papers (which are technical) and book (which is for a lay audience, apart from an appendix), the authors show that necktie knots are equivalent to persistent random walks on a triangular lattice, with some constraints on how the walks begin and end.