R.I.M
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mithrilweaver

[ Grand Master Speaker ]

Joined: October 22, 2010
Posts: 691
Submissions: 389
Location: Yucaipa, CA

 R.I.M Posted on Thu Nov 15, 2018 12:03 pm Link to Post: 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=0http://www.joshuadiliberto.com
Pfeiffer

[ Major Voice ]

Joined: July 17, 2009
Posts: 451
Submissions: 76

 Posted on Thu Nov 15, 2018 2:35 pm Link to Post: 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! https://photos.google.com/album/AF1QipP5bWooxHx5gOGwEjdl3Na9gyQsDA1yOPktF2p0
Pfeiffer

[ Major Voice ]

Joined: July 17, 2009
Posts: 451
Submissions: 76

 Posted on Thu Nov 15, 2018 3:19 pm Link to Post: 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?https://photos.google.com/album/AF1QipP5bWooxHx5gOGwEjdl3Na9gyQsDA1yOPktF2p0
Karpeth

[ Grand Master Speaker ]

Joined: August 30, 2010
Posts: 627
Submissions: 15

 Posted on Thu Nov 15, 2018 9:29 pm Link to Post: 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++.
mithrilweaver

[ Grand Master Speaker ]

Joined: October 22, 2010
Posts: 691
Submissions: 389
Location: Yucaipa, CA

Posted on Thu Nov 15, 2018 9:55 pm

 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?

mithrilweaver

[ Grand Master Speaker ]

Joined: October 22, 2010
Posts: 691
Submissions: 389
Location: Yucaipa, CA

Posted on Thu Nov 15, 2018 9:56 pm

 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?

Karpeth

[ Grand Master Speaker ]

Joined: August 30, 2010
Posts: 627
Submissions: 15

Posted on Fri Nov 16, 2018 12:16 am

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++.
mithrilweaver

[ Grand Master Speaker ]

Joined: October 22, 2010
Posts: 691
Submissions: 389
Location: Yucaipa, CA

 Posted on Fri Nov 16, 2018 5:40 am Link to Post: 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_ringshttp://www.joshuadiliberto.com
Pfeiffer

[ Major Voice ]

Joined: July 17, 2009
Posts: 451
Submissions: 76

 Posted on Sat Nov 17, 2018 1:28 am Link to Post: 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.https://photos.google.com/album/AF1QipP5bWooxHx5gOGwEjdl3Na9gyQsDA1yOPktF2p0
Pfeiffer

[ Major Voice ]

Joined: July 17, 2009
Posts: 451
Submissions: 76

 Posted on Sat Nov 17, 2018 1:40 am Link to Post: Maybe it is Circum?https://photos.google.com/album/AF1QipP5bWooxHx5gOGwEjdl3Na9gyQsDA1yOPktF2p0
mithrilweaver

[ Grand Master Speaker ]

Joined: October 22, 2010
Posts: 691
Submissions: 389
Location: Yucaipa, CA

Posted on Sat Nov 17, 2018 7:57 am

 Pfeiffer wrote: Maybe it is Circum?

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