The Dual Grain Persian Revision

Dual Grain Persian Overview.jpg

Periodically, in Biology, as new discoveries and new information are uncovered over time, taxonomic revisions are made. I see no reason why a similar "structural revision" could not be applied to chainmaille. Much like its biologic counterpart, this structural revision will focus on identifying and structurally naming all the weaves within that group, determining their relationships to each other, and classifying them according to their shared characteristics.

Naming Note: I have no interest (in most cases) of trying to change any of the "commonly accepted" names of these weaves. As such, on this site at least, I will be introducing a field for "Structural Names". In cases of there being no current commonly accepted name for a weave, the structural name will be used.

The main subject of this revision will be, what I currently call, Dual Grain Persians. It will only include the base forms and not any modified versions. For the purpose of this revision, Dual Grain Persians will be examined as a Spinal Grain (parallel to X surface) and an Inverted Lock Grain. (perpendicular to X surface). Dual Grain Persians are made up of, as you might have already guessed, two grains. In cases where the same grain is used for both the Spinal and Inverted Lock grains, that weave will be designated as the "base weave" for that subgroup. Dual Grain Persians are commonly referred to as Half Persian 3 in 1 weaves.

Future Research: It's my belief that the concepts presented here can also be applied to, (at the very least) other "Persian" weaves such as Paired Grain Persian (already done), Three Quarters Persian, and Hilt. I have made some preliminary steps in said research, but more needs to be done before anything can be published.

This revision is largely possible due to the tireless work of Dave Austin (_CMB_), proprietor/collator of chainmailbasket.com, the most prolific listing of weaves on the internet. Without our conversations and his work into Full Persian 6 Cross Grains, this revision would not exist.​

What is an Inverted Lock Connection?

An inverted lock connection is one of the four, currently recognized, connections in Cellular Chainmaille Theory. For the purpose of explaining how CCT differentiates connections, each ring will be shown in 2 halves (A/B or C/D).

Root Cell.jpg This is a Root Cell. Root Cells are made up of two rings (when unmodified in any way). Ring 2C connects to Ring 1B.

Direct Connection.jpg This is a direct connection between two root cells. Cell Two (3A) connects to Cell One (2D).

Inverted Connection.jpg This is an inverted connection between two root cells. Cell Two (3A) connects to Cell One (2C).

Inverted Lock Connection.jpg This is an inverted lock connection between two root cells. Cell Two (3A) connects to Cell One (2C) AND Cell Two 4D is rotated and "locked" into place inside Cell One - Ring 1.

Weaving Note: When extending a chain, each extension (XA) will connect to the previous cell (XC) AND (XD) rotated and "locked" in place inside the previous cell - Ring X.

What Are Grains?


Grains.jpg
Grains are an evolution in thinking about the concept formerly known (on this site) as Precursors. Many of the grain types are identical to their precursor ancestors, but the way they are used has changed (and possibly their names). While not all precursors are currently considered grains, the status of the missing ones are still under consideration. The other main difference between precursors and grains is that grains will be used as a means of classification. Most grains are unstable piles of unconnected rings until stabilized in their pattern by the addition of a second grain.

Filling In the Blanks

Commonly accepted names will be in parenthesis. Cells link to the associated Maillepedia entry. "Redundant" entries are marked as such because they have already been named elsewhere in the table. There are a total of 15 different dual grain persians.


What's The Point?

As I asked myself many times while I was doing this, you may have also asked yourself "What's the point?" The main reason is that Dual Grain Persians are the chains that progress into 3 or 4 grain Persians. Much like the "Full Persian" name in regards to Paired Grain Persians, you'll see Half Persian used all over the place with some exceptions. If one, or more, of them are worthy of different names, because they are different weaves, then shouldn't all of them be worthy of different names? By revising these Dual Grain Persians we get consistency of naming as well as consistency in what makes them different from each other. In addition, by providing a solid base, we are able to track which weave can be considered a base for further progressions (3 grain persians, paired grain persians, etc.) as well as how they are progressed.

The below sub groups are shown in order of seniority. You will notice that there are less entries in each group as you go down the list. What this means is that as you move through the chart, you will come across weaves that have already been given names based on a senior grain present in the weave.

Grain Note: You may have noticed that the Dual Grain Persians utilize Parallel as a single grain. This is due to Parallel being a progression of adjacent and step. Just like them, if you do not add a "cross grain" it's just a pretty pile of rings with no connections. It is also senior to twist due to the lack of connections.

Render Note: While the following renders have physics applied, the final positions of the rings in our reality may have different "final" positions depending on the alignment of the weave and how it is displayed (free hanging or on a surface). Regardless of final positions, the structure remains the same.

Lean

Lean Grain is primary because it results in the first of the Inverted Lock chains (Half Persian 3 in 1)

Lean Persian Overview.jpg
Defining Grain: Lean
Base Weave: Lean Persian (Half Persian 3 in 1)
Number of Weaves: 5
Redundant Weaves: 0
Descendant Groups: Mirror Lean Persians, Layered Lean Persians


Step

Step grains are next because it is an alternating version of Lean grain.

Step Persian Overview.jpg
Defining Grain: Step
Base Weave: Step Persian (Half Persian 3 in 1 (Alternating))
Number of Weaves: 4
Redundant Weaves: 1
Descendant Groups: Mirror Step Persians, Layered Step Persians


Parallel

Parallel grain is a layered progression of Step grain.

Parallel Persian Overview.jpg
Defining Grain: Parallel
Base Weave: Parallel Persian (One and a Half Persian)
Number of Weaves: 3
Redundant Weaves: 2



Twist

Twist is the next grain because it is actually two joined adjacent grains.

Twist Persian Overview.jpg
Defining Grain: Twist
Base Weave: Twist Persian (Japanese Rain Chain)
Number of Weaves: 2
Redundant Weaves: 3
Descendant Groups: Mirror Twist Persians, Layered Twist Persians


Spiral

Spiral is the last grain because it is a further modification of twist grain.

Spiral Persian Overview.jpg
Defining Grain: Spiral
Base Weave: Spiral Persian (Japanese Rain Chain (Spiral))
Number of Weaves: 1
Redundant Weaves: 4
Descendant Groups: Layered Spiral Persian


Additional notes: Rotations, Chirality, and Alternate Versions

X Rotations.jpg All Dual Grain Persian weaves are one continuous spinal grain and one continuous inverted lock grain. One of these grains will always be an X Rotation (Roll). As we are focusing on dual grain persians, these rotations really have no effect on which weave you are making (e.g. two lean grains, regardless of their rotation, will always be Half Persian 3 in 1 (Lean Persian)). However, while the degree of x rotation has no effect on which dual grain persian weave you are making, it may have an effect on how your completed weave looks


This is especially true of lean and step grains. Looking at the below graphic, you can see that while a +/- 180 degree X rotation gives the same result, a +/- 90 degree X rotation gives mirrored results. Parallel and Twist grains get mirrored results through offsetting of their sequence (i.e. Parallel starting with 2 rings instead of 1 or the second twist ring being a negative X rotation from the first instead of a positive X rotation.) Spiral grains will always be mirrored through a counterspiral.

Lean and Step Rotations.jpg Parallel - Twist - Spiral Mirror.jpg

Chiral Dual Grain Persians.jpg It is this mirroring that can give you a different looking final result and remain the same weave (e.g. Half Persian 3 in 1 - Left vs. Right). In mathematics (and chainmaille) this is known as Chirality (sometimes called "Handedness"). If a weave cannot, through rotations and/or translations, overlap its mirror image it is said to be Chiral. While single grains (other than spiral) are achiral (not chiral), when joined together as a dual grain persian, the resulting weave may be chiral.





In Conclusion

It's my hope that you found this revision of Dual Grain Persians useful (or at least mildly interesting ;) ). As always, if you have any questions, comments, and/or concerns, please let me know in the associated discussion thread.
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