generalizations of alpha/normal patterns?
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heav
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1 month ago by heav
hello. i am rather new to making bracelets, so if any of this is an attested thing already then i probably wouldn't be aware. but anyway, i had to wonder:normal patterns are yielded by having parallel strings, such that adjacent strings are knotted together. whereas, as far as i can tell, alpha patterns are yielded by knotting external strings over a collection of parallel strings (i'm knotting my first alpha pattern as we speak and it's only going somewhat disastrously). if one was to stop knotting a normal pattern midway through, one would be left with parallel strings. this begs the question; is there anything stopping you from bringing in an external string at this point and starting an alpha pattern within a normal pattern? and vice versa; could one start knotting together the "base strings" of an alpha pattern into a normal one? could you embed a little image into a normal pattern like this? furthermore, what's to stop you from, say, making part of a normal pattern, forward knotting another string across all of the strings at its halfway point (such that roughly equal proportions are hanging out of either end), and then continuing the normal pattern with the two new strings (i.e basically widening it mid-pattern)? i still am pretty new, but these things were just on my mind after learning about how the notation worked, i suppose. |
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martha9999
Bracelet King
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1 month ago by martha9999
Yes, it is possible. The alpha will be thicker than the normal, but you can do it. I've seen the pictures. Just be careful about the order of the normal strings!! I wish you luck ❤️❤️
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heav
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1 month ago by heav
ah, yes. i suppose since normal pattern knots are in a diagonal grid, the alpha ones would be bigger by what, some factor of sqrt(2)? anyway, it's nice to know this is a thing. i'll have to experiment at some point, maybe once i'm not in alpha hell.
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