Turks Head - A Miracle May Have Occurred (But Interweaves?)

[Tracym]

Thanks so much for the tutorials, that is great! I'm trying to figure out that part about not being able to be divided. For example, there is a tutorial TYPE 1 - 2 PASS PINEAPPLE KNOT (from a 5x4 turk's head knot) so 5x4 would be with a 4x3 interweave = 9 x 7 correct? Well 9 can be divided by 3? Or is it ok because the 7 can't be divided?

[Sovran81]

Tracy, it is that both part and bight cant be divided by the same number. GCD= Greatest Common Denominator. The GCD of the numbers 9 and 7 is 1. No other number can divide both of them.

[skyout]

Thanks so much for the tutorials, that is great! I'm trying to figure out that part about not being able to be divided. For example, there is a tutorial TYPE 1 - 2 PASS PINEAPPLE KNOT (from a 5x4 turk's head knot) so 5x4 would be with a 4x3 interweave = 9 x 7 correct? Well 9 can be divided by 3? Or is it ok because the 7 can't be divided?

You have the parts and bights mixed up on your interweave. Base knot of 5parts x 4bights has a 3part x 4bight interweave. This makes it an 8part x 8bight. It can be tied.

Edited December 3, 2013 by skyout

[Tracym]

Oh I see. (I think). I mixed up the whole thing haha. I think I need a math class!

[skyout]

If you are on Facebook, join "The mighty turksheah knot" group. There, in the files selection, you will find "Introduction to Turks Head Knots" by Tom Hall. Hall's Intro is really great.

There are other great resources from Ron Edwards and Sidney Wood to see, as well as a bunch of tutorials.

[Tracym]

Thanks. I'll look for that group.

[Tracym]

You have the parts and bights mixed up on your interweave. Base knot of 5parts x 4bights has a 3part x 4bight interweave. This makes it an 8part x 8bight. It can be tied.

OK, wait a minute though - 8 x 8 has common divisors of 2 and 4 - I thought that meant it wouldn't work? That you couldn't have a common divisor greater than 1? (I bet I'm still confused)

[skyout]

I guess you call it an exception if the parts and bights are the same. A base 7p x 6b has a 5p x 6b interweave for a total 12p x 12b and it will work. Same w/the 9p x 8b base TH.

[Tracym]

Hahaha no fair giving me the exception, when I barely figured out the rule!