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Reinforced Weaves
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Reinforcing also occurs with the Tao and Not Tao series of units and weaves. In these cases, one of two things happens:
- A single reinforced ring is found in the center of each unit.
- 2 reinforced rings are present with one on each flat side of the unit.
Reinforcing vs. Rhino:
Rhinos Snorting Drano was one of the first weaves to incorporate a similar concept to reinforcing. "Rhinoing", however, intersects with pairs of stacked rings, and is seen in flat weaves that wouldn't otherwise be ideal for captivation. One example of a captive weave that wouldn't allow for a reinforced version is Captive 4 in 2 Chain (4 in 2 Captive). Removal of the captive rings and using what would be reinforcements instead would actually yield a Rhino weave because the base weave is 4 in 2 Chain (doubled 2 in 1 Chain). Removal of captives causes weave collapse, and attempting to reinforce this would cause the center rings to intersect pairs of (collapsed) stacked rings.
Inverted Round
Some of the simplest weaves to utilize the reinforcing concept are those based off Inverted Round (IR). Just as IR becomes Captive Inverted Round (CIR) with the addition of captive rings, it can alternately be reinforced as Bore Worm (BW), or Reinforced Inverted Round (RIR). Rings added become reinforced once they pass through each of the three rings in the IR cell causing those rings to lean up against each other in a "swirl".
- In BW, the reinforced rings cause the IR rings lean in the same direction in every cell.
- In RIR, the reinforced rings make the rings alternate the direction of lean in each cell.
Reinforced Inverted Round is the namesake of the reinforcing concept, however, Bore Worm is the more basic version, since the rings lean in the same direction in every cell. It can be said that Bore Worm should have been named Reinforced Inverted Round, and Reinforced Inverted Round should have the word "Alternating" added. That's a matter of technicality though.
Inverted Round | |
Captivates as | Reinforces as |
Captive Inverted Round (CIR) |
Bore Worm (BW)* |
Reinforced Inverted Round (RIR) |
*Note: Bore Worm repeats into the chain sheet Staggered Bore Worm Sheet.
Quad IR (and beyond)
The same concept that is applied to IR can be applied to progressions with added faces. Although "Quad Inverted Round" (QIR) (not in weave library) is a messy unstable entity on its own (don’t let the image below fool you, it takes a certain amount of manipulation to properly configure it), it can be captivated or reinforced. Quad Captive Inverted Round, Quad Bore Worm (QBW), and Quad Reinforced Inverted Round (QRIR) are the results. In order to weave these, the captive or reinforced rings must be larger.
"Quad Inverted Round | |
Captivates as | Reinforces as |
Quad Captive Inverted Round (QCIR) |
Quad Bore Worm (QBW) |
Quad Reinforced Inverted Round (QRIR)* |
*Note: Quad Reinforced Inverted Round repeats into the chain sheet Staggered Quad Reinforced Inverted Round Sheet.
Quint progressions and beyond naturally also allow for captivating/reinforcing. As with the Quad versions, these require a larger reinforced ring, except with a greater difference with each side-adding progression. Please refer to Inverted Round-based Weave Progressions & Variants for more information and examples.
Full Persian 6 in 1
From the Persian weave family, the very popular Full Persian 6 in 1 (FP6-1) captivates or reinforces effectively. Captive Full Persian 6 in 1 (Captured Full Persian) (CFP6-1) requires a smaller captive ring (otherwise a very high AR is the required ). Reinforcing the chain instead is typically done in a single ring size. Because FP6-1 is four-sided, it has eight entry points through which reinforcing rings can pass. This means there are two different standard reinforcing methods available, each of which has an alternate version in which the entry points are alternated with each added cell. Reinforced FP6-1 weaves are refered to as "Wyrms".
- In Fire Wyrm (FW) the reinforced rings pass through 2, around 2, through 2, around 2.
- In Wind Wyrm (WW) the reinforced rings pass through 1, around 1, through 1, around 1, through 1, around 1, through 1, around 1.
- FW becomes Ice Wyrm (IW), and
- WW becomes Earth Wyrm (EW).
The AR requirements for WW and EW are higher than those of FW and IW.
Full Persian 6 in 1 | |
Captivates as | Reinforces as |
Captive Full Persian 6 in 1 (Captured Full Persian) (CFP6-1) |
Fire Wyrm (FW) |
Ice Wyrm (IW) |
|
Wind Wyrm (WW) |
|
Earth Wyrm (EW) |
It is an interesting coincidence that "Worm" (in the case of Bore Worm), and "Wyrm" (Fire Wyrm, et al.) ended up being used in weave names to describe the same concept, unbeknownst at the time.
Hilt Chain 6 in 1
Adding two more faces to FP6-1 triplicates it as Hilt Chain 6 in 1 (HC6-1). Captive Hilt Chain 6 in 1 (CHC6-1) uses a single ring size for both the cage and captive rings. Reinforced versions of HC6-1 require a larger reinforced ring. Since HC6-1 has 12 potential entry points through which reinforced rings may pass, there are theoretically eight reinforced versions, and even more if you employ unusual configurations like 3-3-3-3. I've developed six versions, based on four of the initial patterns.
- In Hilt Fire Wyrm (HFW), the reinforced rings pass through 2, around 4, through 2, around 4.
- In Hilt Sun Wyrm (HSW) (not in weave library), the reinforced rings pass through 4, around 2, through 4, around 2.
Technically, in HSW the reinforced rings only pass through 2, around 2, through 2, around 2, and the openings that are missed result in two proper cage rings found on opposing sides of this chain.
With either of these designs, alternating which rings in the next cell are reinforced isn't technically feasible, so no alternate version of either is shown.
- Hilt Thunder Wyrm (HTW) has the reinforced rings pass through 2, around 2 (x3)
- Hilt Wind Wyrm (HWW) has them passing through 1, around 1 (x6)
When the reinforced rings in these two cases alternate which rings are passed through in each subsequent cell,
- HTW becomes Hilt Lightning Wyrm (HLW), and
- HWW becomes Hilt Earth Wyrm (HEW), neither of which are in the weave library.
Hilt Chain 6 in 1 (HC6-1) | |
Captivates as | Reinforces as |
Captive Hilt Chain 6 in 1 (CHC6-1) |
Hilt Fire Wyrm (HFW) |
Hilt Thunder Wyrm (HTW) |
|
Hilt Lightning Wyrm (HLW) |
|
Hilt Wind Wyrm (HWW) |
|
Hilt Earth Wyrm (HEW) |
|
Hilt Sun Wyrm (HSW) |
- HFW benefits from a reinforced ring AR increase of about 2.6 - 3.0 over the cage rings.
- HTW/HLW, and HWW/HEW require an AR increase around 1.5 - 1.8.
- HSW appreciates a much smaller increase of around 0.4 - 0.8.
Box Chain/Byzantine
Captivation of Box ([weave=Box Chain]) weave is similar to FP6-1, which is made possible with the use of smaller captives. The theory behind reinforcing Box is that it should also be similar to FP6-1, with each type being made with a single ring size. Both Fire/Ice, and Wind/Earth combinations allow for this, but they are naturally looser. The outside Box rings flop around a bit since they're not neatly tucked in as with FP6-1. Likewise, Byzantine can be reinforced with its individual Box cells in either Fire, or Wind configurations.
[weave=Box Chain] | |
Captivates as | Reinforces as |
Captive Box (Captive 4 in 1 Box) |
Reinforced Fire Box |
Reinforced Wind Box |
Similarly, Roundmaille and Turkish Round can be reinforced.
Example ARs
This chart lists the ARs used to produce the weaves displayed above, and compares the sizes of the cage/quasi-cage rings vs. the captive/reinforced ones. Each sample above contains two captive or reinforced rings per cell, ((C2)/(R2) versions), except Quad Captive Inverted Round ((C1) version). Every sample uses a single wire diameter.
weave | cage/quasi cage | captive/reinforced |
Inverted Round | AR of 4.0 | N/A |
Captive Inverted Round | AR of 6.1 | AR of 6.1 |
Bore Worm | AR of 5.2 | AR of 5.4 (+0.2)* |
Reinforced Inverted Round | AR of 5.2 | AR of 5.4 (+0.2)* |
Quad Inverted Round | AR of 5.2 | N/A |
Quad Captive Inverted Round (C1) | AR of 5.6 | AR of 7.4 (+1.8) |
Quad Bore Worm | AR of 6.0 | AR of 7.2 (+1.2) |
Quad Reinforced Inverted Round | AR of 6.2 | AR of 7.4 (+1.2) |
Full Persian 6 in 1 | AR of 5.9 | N/A |
Captive Full Persian 6 in 1 (Captured Full Persian) | AR of 7.4 | AR of 5.9 (-1.5) |
Fire Wyrm | AR of 7.0 | AR of 7.0 |
Ice Wyrm | AR of 7.4 | AR of 7.4 |
Wind Wyrm | AR of 7.9 | AR of 7.9 |
Earth Wyrm | AR of 7.9 | AR of 7.9 |
Hilt Chain | AR of 6.5 | N/A |
Captive Hilt Chain 6 in 1 | AR of 7.2 | AR of 7.2 |
Hilt Fire Wyrm | AR of 7.9 | AR of 10.8 (+2.9) |
Hilt Thunder Wyrm | AR of 8.3 | AR of 9.9 (+1.6) |
Hilt Lightning Wyrm | AR of 9.4 | AR of 11.1 (+1.7) |
Hilt Wind Wyrm | AR of 9.1 | AR of 10.8 (+1.7) |
Hilt Earth Wyrm | AR of 9.4 | AR of 11.1 (+1.7) |
Hilt Sun Wyrm | AR of 8.7 | AR of 9.1 (+0.4)** |
Box ([weave=Box Chain]) | AR of 5.5 | N/A |
Captive Box (Captive 4 in 1 Box) | AR of 5.1 | AR of 3.6 (-1.5) |
Reinforced Fire Box | AR of 7.0 | AR of 7.0 |
Reinforced Wind Box | AR of 7.9 | AR of 7.9 |
*Bore Worm, and Reinforced Inverted Round, usually use the same size for each ring type. Those displayed are minimized versions.
**Hilt Sun Wyrm would benefit from a slightly larger reinforced ring size ~(+0.8).
Tao/Not Tao
Tao and Not Tao units, chains, and sheet repetitions contain reinforced rings. They are either:
- paired per cell/unit, with one of each on opposite sides, or
- singled and sandwiched in and around the core of each cell/unit.
Tao 3; Not Tao 3, Not Tao 4, Not Tao 5, Not Tao 6, and beyond have one reinforced ring on each side of a single unit. Upanishad Unit, which is based on NT3 has three sets. Repeating pairs of these reinforced rings are found in sheet expansions of these units. These include:
The individual units found in Tao 4 on the other hand, have one reinforced ring found on the inside, reinforcing its 4 otherwise cage rings.
The rings found in these units and weaves each reinforce their cells in the same manner as those occurring in Bore Worm and Reinforced Inverted Round.
Units:
Tao 3:
.062" (1.6mm) stainless steel, bronze
1/4" (6.35mm), 5/16" (7.94mm) mandrels
.269", .341" ID
AR of 4.3, AR of 5.5
Not Tao 3:
3 small vertical rings
2 intermediate reinforcing rings
3 large corner rings
.080" (2.0mm) aluminum
31/128", 31/64", 13/32" mandrels
.258", .446", .532" ID
AR of 3.2, AR of 5.6, AR of 6.7
Not Tao 4:
4 small vertical rings
2 large reinforcing rings
4 intermediate corner rings
.062" (1.6mm) copper, stainless steel, stainless steel
13/64" (5.16mm), 1/2" (12.7mm), 13/32" (10.3mm) mandrels
.216", .557", .452" ID
AR of 3.4, AR of 9.0, AR of 7.3
Not Tao 5:
5 small vertical rings in .048" (1.2mm) bronze: 13/64" (5.16mm)
2 large reinforcing rings in .062" (1.6mm) stainless steel: 1/2" (12.7mm)
5 intermediate corner rings in .062" (1.6mm) stainless steel: 9/32" (7.14mm)
Ring sizes listed refer to mandrel size.
Not Tao 6:
6 small vertical rings in .048" (1.2mm) bronze: 13/64" (5.16mm)
2 large reinforcing rings in .062" (1.6mm) stainless steel: .602" (15.3mm)
6 intermediate corner rings in .062" (1.6mm) stainless steel: 9/32" (7.14mm)
Ring sizes listed refer to mandrel size. The .602" mandrel sprung back the .062" stainless steel to .687" ID.
Not Tao 7:
7 small vertical rings in .048" (1.2mm) bronze: 13/64" (5.16mm)
2 large reinforcing rings in .062" (1.6mm) stainless steel: .708" (18.0mm)
7 intermediate corner rings in .062" (1.6mm) stainless steel: 9/32" (7.14mm)
Ring sizes listed refer to mandrel size. The .708" mandrel sprung back the .062" stainless steel to .833" ID.
Not Tao 8:
8 small vertical rings in .048" (1.2mm) bronze: 13/64" (5.16mm)
2 large reinforcing rings in .062" (1.6mm) stainless steel: .708" (18.0mm)
8 intermediate corner rings in .062" (1.6mm) stainless steel: 29/128" (5.75mm)
Ring sizes listed refer to mandrel size. The .708" mandrel sprung back the .062" stainless steel to .833" ID.
Not Tao 9:
9 small vertical rings in .048" (1.2mm) bronze: 15/64" (5.95mm)
2 large reinforcing rings in .080" (2.0mm) stainless steel: .850" (21.6mm)
9 intermediate corner rings in .062" (1.6mm) nickel silver: 7/32" (5.56mm)
Ring sizes listed refer to mandrel size. The .850" mandrel sprung back the .080" stainless steel to .969" ID.
Upanishad Unit:
.080" (2.0mm) aluminum
31/128" (6.15mm), 29/128" (5.75mm), 31/64" (12.3mm), 13/32" (10.3mm) mandrels
.258", .243", .532", .446" ID
AR of 3.2, AR of 3.0, AR of 6.7, AR of 5.6
- AR of 6.7: 3 singled horizontal rings; top left, top right, bottom.
- AR of 5.6: 3 sets of 2 layered, reinforced horizontal rings; top, bottom left, bottom right.
- AR of 3.2: All vertical (small) rings, except...
- AR of 3.0: 3 vertical rings each of which connect a 6.7 to a set of 5.6's: at 1 o'clock, 5 o'clock, and 9 o'clock.
Sheets:
Tao 3 Sheet:
- large rings comprise the horizontal rings
- intermediate rings are vertical orbital rings
- small rings are the layered horizontal reinforced rings
.048" stainless steel, brass, bronze
3/8" (9.525mm), 5/16" (7.94mm), 9/32" (7.14mm) mandrels
.435", .358", .312" ID
AR of 9.1, AR of 7.5, AR of 6.5
Not Tao 3 Sheets To The Wind:
- large rings comprise the singled horizontal rings
- small rings are the vertical rings that orient trianglularly
- the intermediate ring size make up the layered horizontal reinforced rings
.062" aluminum, stainless steel, aluminum
27/128" (5.36mm), 25/64" (9.92mm), 11/32" (8.73mm) mandrels
231", 432", 378" ID
AR of 3.7, AR of 7.0, AR of 6.1
NT3 (Not Tao 3) Web:
.047" (1.19mm) aluminum
3/16" (4.76mm), 27/128" (5.36mm) MD
.206", .234" ID
AR of 4.4, AR of 5.0
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