Posted: Fri Jul 17, 2009 1:06 am
---If you consider knots state functions then the 8 on a bight is the same as the rewoven eight.
---If you consider the knot a path function, then the 8 on a bight may be able to assume the configuration of the rewoven 8 because it may have to pass through a closed loop to use it in a certain way. I can agree with this.
--- The mathematical definition of knot assumes path-independence (a function of state). In fact if you can find a path that interconverts two configurations the two are assumed to be identical.
http://en.wikipedia.org/wiki/Knot_theory
---In real life, you can always reweave the knot to use it with or without a biner. In other words the bight path function is a subset of the rewoven path function to the same state. So if you know that the rope is going to enter a closable loop tie the knot on a bight and call it a shortcut to knot x.
---I am not going to stoop to argue semantics. I am more than willing to call the configuration a rewoven bowline so we can avoid putting on 24 oz boxing gloves to go toe-to-toe about who would win a fair fight, Tarzan or Flash Gordon.
---Seriously . . . do you guys really see knots as path functions???? If I configure the rope into a figure 8 by . . . say . . . tying it with one hand . . . do we have to invent another name for it? trippy . . .
---Really, I am willing to call it anything to be able to communicate with you. I looked for rewoven bowline on the internet, but could not find it. I really did not look that hard though.
---If you consider the knot a path function, then the 8 on a bight may be able to assume the configuration of the rewoven 8 because it may have to pass through a closed loop to use it in a certain way. I can agree with this.
--- The mathematical definition of knot assumes path-independence (a function of state). In fact if you can find a path that interconverts two configurations the two are assumed to be identical.
http://en.wikipedia.org/wiki/Knot_theory
---In real life, you can always reweave the knot to use it with or without a biner. In other words the bight path function is a subset of the rewoven path function to the same state. So if you know that the rope is going to enter a closable loop tie the knot on a bight and call it a shortcut to knot x.
---I am not going to stoop to argue semantics. I am more than willing to call the configuration a rewoven bowline so we can avoid putting on 24 oz boxing gloves to go toe-to-toe about who would win a fair fight, Tarzan or Flash Gordon.
---Seriously . . . do you guys really see knots as path functions???? If I configure the rope into a figure 8 by . . . say . . . tying it with one hand . . . do we have to invent another name for it? trippy . . .
---Really, I am willing to call it anything to be able to communicate with you. I looked for rewoven bowline on the internet, but could not find it. I really did not look that hard though.