Title: Re: how many possibilities?
Sorry, I forgot to remove the previous e-mail
Marijke
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From: [EMAIL PROTECTED]
To: [email protected]
Subject: how many possibilities?
Date: vri, 30 dec 2005 23:42



Hi all,

Some time ago I started a project to weave a variety of samplers from one threaded-in pattern, a simple triangle in three colors,  symmetrical from the central axis, by always turning the complete pack together and without changing the position of individual tablets.
My idea was to show students   that there is  more then weaving 4F-4B for such a band.
I imagined that perhaps I could find about 20 solution. How wrong that turned out to be!
In the meantime I completed 96 samples and the end is still far away.
To be honest, I tried two motifs side by side, by turning half of the triangle upside down to create a series of zigzag patterns, so the number of possibilities will even nearly double.

I have put some rules  to limit the possibilities .
1.  Maximum of 8x turning is the same direction
2. A maximum of 32 picks as a repeat.
3. Only 2 different numbers of times turning F and B can be used in a sample,
    for example 6F-2B-2F-6B but not 6F-2 B-4F-4B.
4. Twist built-up is allowed for a motif with direction, however the pattern is always            
    symmetrical
 
So far I can imagine nearly 200 possibilities for the triangle
Is there anyone who can find more?

Thanks in advance,
My best wishes for 2006
Marijke van Epen











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