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Joined: October 22, 2010
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Location: Yucaipa, CA

R.I.M
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Posted on Thu Nov 15, 2018 12:03 pm
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below, is a link to my "ring interaction model." best viewed at 25-50% zoom. it shows all the possible ring interactions between level 1 and level 4. at level 4, things start to get really interesting (4 ring combinations). there are 3 at level 3. there are 19 at level 4. i'm working on level 5 and it looks like there will be 120 or so. this is the only 100% mathematical way i've found to represent all weaves. it's a natural way to categorize the weaves too. if you look at level 4 loops, you'll notice that e4, gridlock, hoodoo, hp3, and more start here. a loop is when a straight 2 in 1 chain is looped back on itself and connected. hp3 is a loop that is twisted once. quadradic is a loop that is twisted twice. currently no weaves in our library start this way. many entries are pointing toward undiscovered weaves. enjoy this free shared doc: https://docs.google.com/spreadsheets/d/1O0weIB9KkCSFKIvFKhsnYluknzou5wXFCilfTZXy4wQ/edit#gid=0



Joined: July 17, 2009
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Location: Denver, Colorado

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Posted on Thu Nov 15, 2018 2:35 pm
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This is fascinating. Can't wait to see how it progresses. There is extensive similar info on knots.

There are likely other possibilities yet unknown at higher levels. We need a way (like mathematical "proof") to know if we got them all for each level.

I see you addressed left / right handed variants too, and brought in common names where possible. Excellent work! Cutters



Joined: July 17, 2009
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Location: Denver, Colorado

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Posted on Thu Nov 15, 2018 3:19 pm
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What about this. Does it reconfigure into one of the others you have listed?
https://photos.google.com/photo/AF1QipP0iVmKxYQkyZje5jsuc_vvySuaZVVkOpGwBxiu
https://photos.google.com/photo/AF1QipMH51oe8l4fp0GdAeMcf6Bhj-ZwzofVd4ijGpEp
I haven't spent a lot of time looking at it. Maybe I am missing the obvious. What do you think?



Joined: August 30, 2010
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Posted on Thu Nov 15, 2018 9:29 pm
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I believe you should talk to a local knot theorist. Much research har already been Done are uni.


Total Nerd: MScDS, Mailler, Gamer. Fluent in c++.

Joined: October 22, 2010
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Posted on Thu Nov 15, 2018 9:55 pm
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Pfeiffer wrote:
What about this. Does it reconfigure into one of the others you have listed?
https://photos.google.com/photo/AF1QipP0iVmKxYQkyZje5jsuc_vvySuaZVVkOpGwBxiu
https://photos.google.com/photo/AF1QipMH51oe8l4fp0GdAeMcf6Bhj-ZwzofVd4ijGpEp
I haven't spent a lot of time looking at it. Maybe I am missing the obvious. What do you think?


links aren't working...



Joined: October 22, 2010
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Posted on Thu Nov 15, 2018 9:56 pm
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Karpeth wrote:
I believe you should talk to a local knot theorist. Much research har already been Done are uni.


do you think they work with torii already?



Joined: August 30, 2010
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Posted on Fri Nov 16, 2018 12:16 am
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mithrilweaver wrote:
Karpeth wrote:
I believe you should talk to a local knot theorist. Much research har already been Done are uni.


do you think they work with torii already?


Yes Indeed. While our use and needs are a certain subset; they have catalogued a huge number of interactions.


Total Nerd: MScDS, Mailler, Gamer. Fluent in c++.

Joined: October 22, 2010
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Posted on Fri Nov 16, 2018 5:40 am
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i looked up some stuff on knot theory. i'm seeing a lot of variation: ropes, rigid oval rings, impossible shapes, and more. i'm not really seeing anything for our rules - rigid circular torii possible in 3d. all i can find is the mobius and level 2. anyone want to share other links they've found? https://en.wikipedia.org/wiki/Borromean_rings



Joined: July 17, 2009
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Posted on Sat Nov 17, 2018 1:28 am
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I figured out how to embed pictures. Two views of same linkage...



I'm trying to figure out if this is one on your RIM chart? Probably is, I just don't see it.



Joined: July 17, 2009
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Posted on Sat Nov 17, 2018 1:40 am
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Maybe it is Circum?



Joined: October 22, 2010
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Posted on Sat Nov 17, 2018 7:57 am
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Pfeiffer wrote:
Maybe it is Circum?


that's jpl3. your rings are just larger so it's harder to see the pattern.



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