GENERALISATION OF HERRINGBONE-PINEAPPLE ALGORITHM TO NESTED-BIGHT INTERWEAVES THAT ARE CERTAINLY NOT PINEAPPLE.
This is a personal finding : the possibility of generalizing my PINAPL and PINAPL2 HP48GX Programs coming from SCHAAKE & TURNER work on HerringbonePineapple knots to ANY NESTED BIGHT INTERWEAVE OF THK and probably of not only THK but of some if not all ( at least the one with INTER-BIGHT coding as PINEAPPLEand HERRINGBONE have ) STANDARD KNOTS ( knots made on a THK cordage route but not having the O1-U1 coding of THK)
Same should apply to interweaves following the HERRINGBONE KNOTS model but not having component ofO1-U1 coding ; there I am less sure as verification “in the real world” is yet to be made.
On the diagram just above you have a Herringbone-Pineapple 3-PASS
Copyright harles HAMEL – 2009 December 2nd
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*for the first SET of THK component Blue for the 7L 3B component using Bight-Rim (boundary) 1-1 *for the second SET Red for a 5L 3B using Bight-Rim 2-3 Green for a 5L 3B using Bight-Rim 3-2
BUT if instead of having a 7L B at Bight-Rim 1-1 we install on Bight-Rim 1-1 ( the right “1” has been pushed along ) a 11L 3B we retain the NESTED-BIGHT but we lose the characteristic of TRUE PINEAPPLE the 2L discrepancy between the two SET of component THK.
So IT CANNOT BE A PINEAPPLE BUT IT STAY AND INTERWEAVING OF COMPONENT THK has we have retained the O1-U1 coding for the component.
If this O1-U1 coding is changed then it will not be any more THK components but it will stay an interweave.
Using the PINAPL2 ( if you do not want to go “manual mode paper and pencil” with Schaake’s book in hand ) in exactly the same fashion AS IF it was a pineapple you will get the coding of crossing for each half-period for interweaving of the Red and Green knots with the Blue knot. Just follow the diagram above using the coding for each half-period.
Make the Blue 11L 3B ( the largest of the assembly) and chose where you want the Red and Green component and simply use the half-period coding to put them where you want them. As long as you stay between the 1-1 BIGHT-RIM all will be well.
Copyright harles HAMEL – 2009 December 2nd
IT IS POSSIBLE
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to have “ distant” NESTED-BIGHT by putting LEFT BIGHT RIM 2 farther
from LEFT BIGHT-RIM 1 while retaining the distance between BIGHT RIM 2 AND 3 ( if you do not comply with that the half-period coding will be faulty when using PINAPL or PINAPL2
as they are.
To get correct coding you should alter a wee bit the program to accept the entry of the different SET OF CROSSING along an ODD numbered Half-period in the finished interweave and from Left to Right coding make a Right to Left coding for the EVEN numbered Half-periods and have the program read that instead of the “in-built” O1U1 coding through out.
The figure on the next page illustrate what I am saying there.
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