Author Topic: Mobius Turk's Head knots  (Read 7487 times)

struktor

  • Sr. Member
  • *****
  • Posts: 344
Mobius Turk's Head knots
« on: January 06, 2011, 07:18:28 PM »
I developed a new method of manufacturing knots in the shape of the head of the Turkish Mobius strip.
It has the advantage that it allows these nodes to plait on normal tools used for ordinary Turkish head knots.

The idea is to add extra bights, which only serve to simulate the half turn on the cylinder,
or a plane and disappear after pulling the knot and Mobius strip molding.
This method works well for an even number of laps of the leads.
For an odd number of leads, the order of interlaces can be locally broken, that is why I didn't take them under consideration.

I did not make a separate index for Mobius Turk's Head knots, because you can use the index for the ordinary Turk's Head knots, adding extra bights.
 Easy to see that for even leads we have formula:     extra bights =  leads / 2

I wrote the program to draw schemes of these knots, which is available from:
http://narval.republika.pl/mobius.html



squarerigger

  • Global Moderator
  • Sr. Member
  • *****
  • Posts: 729
  • IGKTPAB Immediate Past President
    • The Knot Guy
Re: Mobius Turk's Head knots
« Reply #1 on: January 07, 2011, 02:44:51 AM »
Thanks for the information Struktor,

I just tried your link through Mozilla Firefox and found that the link does not work there.  Do you have any recommendations?

SR

struktor

  • Sr. Member
  • *****
  • Posts: 344
Re: Mobius Turk's Head knots
« Reply #2 on: January 07, 2011, 01:56:52 PM »
I do not know.
Server Crash?
www.narval.republika.pl/mobius.html

I put other pictures to post


WM

struktor

  • Sr. Member
  • *****
  • Posts: 344
Re: Mobius Turk's Head knots
« Reply #3 on: January 25, 2011, 10:19:51 PM »
Practical example:    B(35-6)L12S1M  (B35L12S1)

 

anything