Search results
Results from the WOW.Com Content Network
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.
0 1: 0a1 — — 0 Trefoil knot: 3 1: 3a1 4 6 2 [3] 123:123 Figure-eight knot: 4 1: 4a1 4 6 8 2 [22] 1234:2143 1231\4324 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] 123456:216543 1231\45632654 6 2 knot: 6 2: 6a2 4 8 10 12 2 6 ...
3 1 knot/Trefoil knot - (2,3)-torus knot, the two loose ends of a common overhand knot joined together; 4 1 knot/Figure-eight knot (mathematics) - a prime knot with a crossing number four; 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 ...
Tenkara rod: A very long and flexible rod (usually telescopic) is used in tenkara fishing. The rods normally range from 3.3 to 4.5 metres (11 to 15 ft) long. 3.6 m (12 ft) is common. These rods were originally made of bamboo, but are nowadays made with carbon fibre and/or fibre glass. They also have a handle similar to fly-fishing rods that can ...
In knot theory, the 6 2 knot is one of three prime knots with crossing number six, the others being the stevedore knot and the 6 3 knot. This knot is sometimes referred to as the Miller Institute knot , [ 1 ] because it appears in the logo [ 2 ] of the Miller Institute for Basic Research in Science at the University of California, Berkeley .
The knot may be tied with a single strand if and only if the two numbers are co-prime. For example, 3 lead × 5 bights (3×5), or 5 lead × 7 bights (5×7). There are three general groupings of Turk's head knots: Narrow, where the number of leads is two or more less than the number of bights (3×5, or 3×7).
A reduced diagram is one in which all the isthmi are removed. Tait came up with his conjectures after his attempt to tabulate all knots in the late 19th century. As a founder of the field of knot theory, his work lacks a mathematically rigorous framework, and it is unclear whether he intended the conjectures to apply to all knots, or just to alternating knots.
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]