no details.
just find that turk’s head is a very interesting knot.
maybe the most useful part is the expansion.
so , anyone say more about how to expand turk’s head?
I’ve searched and learned how to expand like this:
3x2 ==> 3x5 ==> 3x8 …
3x4 ==> 3x7 ==> 3x10 …
3x4 ==> 5x6 ==> 7x8 …
anyone tell me something about 2x3 ==> 4x5 or 3x5 ==> 5x9 ?
or a link.
Hello Ruby,
A 2 Lead x 3 Bight Turks Head is better known as an overhand knot, and this is how I start out when tying a 4 x 5 and up. I will try to explain how I expand it in text, but if you need more instruction, let me know, and we can try Skype.
I tie the overhand knot by holding the standing part in my left hand and crossing the working end over the standing part, and the complete the overhand knot. This gives you an overhand knot with the working end leaving the knot as an “over”. With your left hand in the knot holding the knot as a cylinder, take the working end, cross under the standing end and follow the standing part to the top of the knot. In this first expansion, this will be a single “goes under”. At the top of the cylinder, cross over the standing part, and then follow it back down. When you get to the bottom of the knot cross under the standing part. In this first expansion, this will be a single “goes over”, and then cross under the standing part. From the bottom of the knot, cross over the standing end, and split apart the standing end and the working part you just laid down, and find the channel to pass the working end under, over, under, to the top of the knot. From here, you will need to split the standing part and the working part you just laid down, and pass the working end over, under, over, to the bottom of the knot. Success!
To continue expanding 4L x 5B ==>6L x 7B, just repeat the instructions, allowing for the increased number of crossings as the leads count higher and higher.
An interesting variation is to take your 2L x 3B TH, and add a turn to tie a 2L x 5B TH. This is similar to a blood knot. To expand a 2L x 5B TH into a 4L x 9B TH, follow the instructions as above, but double the steps. So know it’s cross under the standing end, follow the standing part up and cross over it, then follow the standing part down and cross under it, follow the standing part up and cross over, follow the standing part down and cross under. You have arrived back where the standing end enters the knot, so you have to cross over the standing end, split the channel, under over under up, the split the channel and over under over back down. Repeat as necessary.
This variation also works to go from a 2L x 3B TH to a 2L x 5B TH, to a 2L x 8B TH. This will expand into a 4B x 13B TH, which makes a nice sized knot for a bracelet. During a family gathering a while back, I tied over a dozen of these knots and installed them on many wrists and ankles. It was a big hit.
Pat
thank you. I think it’s difficult for me to follow verbal knotting instructions.
a picture is best.
so this’s Ashley’s method to expand 2x3 to 4x3 , starting from an overhand:
http://igkt.net/sm/index.php?action=dlattach;topic=4608.0;attach=12262;image
this one picture is easy and enough.
is your first step the same with this?
I fell it’d be easy to expand 2x3 to 4x5, but it’s hard to instruct someone else in words.
maybe just a single picture can help.
I have no answer for the original question. Sorry about that.
But I have found a way to go for the jugular without pit stops. When I get back home, I can post the text i have prepared if anyone is interested. It really gains a lot adding pictures to it which I have not taken so far though. I suppose it can be a work in progress. Input is welcomed.
Hello Wed.
If you think there is a chance it can help even one person, please post what you have.
SS
I think it will. So I will post it when i get home.
In reply to the post that Ruby made about ABOK 1322, the text description in 1322 and 1323 is correct, but it looks like the drawing of 1322 may have an error in it. Not sure how to correct the error in the picture, but if you print the text of my post, and use it as a bookmark at ABOK 1322, you will have a more detailed description of how to expand a 2L x 3B TH into a 4L x 5B TH than what Ashley wrote.
Pat
I tie the long 4Bight TH in hand also, but I need a stick or tube to hold the knot, my fingers just don’t do the job. You can tie a 4B TH of any length in hand, as long as you have a stick long enough to hold the knot. I never count how many Leads I need, I just wrap line on my tube at a 45 degree angle until I get to the estimated length I need. Then I wrap the line down the tube at the same 45 degree angle, all “over” crossings. I keep the crossings evenly spaced, one on one side of the tube, the next on the other side of the tube. When I get back to where the standing end enters the knot, I cross the standing end, and follow it up to the top of the knot, all “over” crossings. At the top of the knot, I cross the standing part one last time, and follow it down, now I have to do an under over pattern opposite of the standing part. when I get to the bottom of the knot, after the last over, I follow the most recently laid part, again maintaining an under over pattern. I repeat this process until I have a 4 Bight TH of any length I need. It will also expand in the same manner as a 3L x 4B TH, except it becomes MORE Leads x 6B, and then EVEN MORE leads x 8B.
If you are confused by these instructions, let me know, we can Skype.
Good
Simple and clear. Easy to follow
basically first 4 steps form a 2 bights turkshead
And then 4 more steps to split or expand it to 4 bights
If using 8 color it’d be more clear
Line 1
Line 2 over line 1
Line 3 over line 2
Line 4 under line 1
Line 5 under line 2 (follow line 1)
Line 6 under line 3 (follow line 2)
Line 7 under line 4 (follow line 3’)
Line 8 under line 5 (follow line 4’)
same method splits every grid
So
3L x 2B To 5L x 4B
5L x 2B To 8L x 4B
7L x 2B To 13L x 4B
…
13L x 2B To 25L x 4B
2n+1 to 4n+1
Interesting 
There is a huge amount of math buried in the art of the Turks Head. It was Steven Hawking who said that you loose half your audience every time you use an equation, so I try to place as few equations as possible in my posts.
Your equations are correct, and get exponentially larger as the number of leads go up. The equations get so complex that I’ve decided that my posterity can figure it out, I’m just going to tie knots.
Pat
now I see, the same method can do almost every square turk’s head:
2L x 3B ==> 4L x 5B ==> 6L x 7B …
3L x 2B ==> 5L x 4B ==> 7L x 6B …
3L x 4B ==> 5L x 6B ==> 7L x 8B …
4L x 3B ==> 6L x 5B ==> 8L x 7B …
very interesting!
The square Turks Heads all expand in a similar way, follow up. follow down, split and interweave up, split and interweave down. Once you have added line to make it a pineapple knot or a complex TH, you can no longer expand it in this fashion. Pineapple knots have an added line interwoven into the TH. A complex TH is one where a second line is used to follow some of the pattern of the original TH, then the original (sacrificial) knot is taken out leaving a modified knot. I have several grids posted at the KHWW website where you can tie the complex knot directly using a tool, and skip the step of tying the sacrificial knot. These knots include the Closed End Turks Heads (Globe Knots) and the Turks Head Cross.
Pat
OK now I got it
just the same method! ;D
2L x 3B ==> 4L x 5B ==> 6L x 7B …
3L x 2B ==> 5L x 4B ==> 7L x 6B …
3L x 4B ==> 5L x 6B ==> 7L x 8B …
4L x 3B ==> 6L x 5B ==> 8L x 7B …
and
2L x 5B ==> 4L x 9B ==> 6L x 13B …
3L x 5B ==> 5L x 9B ==> 7L x 13B …
Yes Ruby, you got it! You’re now on your way to tie bigger and better Turks Heads! Looking forward to seeing some photos of what you put THs around, the options are limitless.
Pat