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Definitions of Weave Terms
Article © MAIL User: Tesserex
This article will serve as a glossary for the technical terms used when describing and classifying weaves. Anyone who wishes to contribute to the sorting of the weaves library should at least skim through this document. It will also help get everyone on the same page about weave classification standards.
Eventually this will be cleaned up so it's easier to read.
The terms:
Ring Group:
A set of parallel rings that have all intersections in common, and which have no rings obstructing maximal planar contact between rings. For all technical purposes, ring groups can be treated as single rings.
Grain:
A set of rings extending in a single direction in which the planes containing the rings are parallel, or in the case of spiraled grain, near parallel.
Spiral:
An intersection of adjacent rings in which the rings are held at, or are intended to be held at, a minimal planar angle.
Near parallel:
At a minimal angle approaching zero, but restricted by ring intersection and wire thickness.
Pass:
A single instance of the circumference of a ring crossing the plane of another ring, usually during intersection.
Functional ring:
A ring that contributes to the structure and stability of a weave by connecting essential weave structures together with intersections.
Decorative ring:
A non-functional ring, which is purely aesthetic, and can be removed without consequence to the structure of the weave. Captives, which often provide stability, are still decorative.
Captive:
A decorative ring that is held in place inside a closed section of weave (cage) through no connections with that cage. A captive ring can have outside connections, but is still captive as long as it is trapped by rings with which it does not intersect.
Orbital:
A ring that is held in place between two other rings by the connection between those two rings. That is, the intersection of the two rings passes through the orbital ring.
Eye:
An opening between two overlapping rings which:
1. do not have all intersections in common
2. are in parallel or near parallel planes.
3. have at least one ring making a single pass through said opening.
Through-the-Eye (TE) connection:
A 2-1 ring intersection in which the ring identified as making the TE connection intersects the eye with a single pass. The TE ring must encircle both eye rings, which is guaranteed with rings of the same size.
Around-the-Eye (AE) connection:
A 2-1 ring intersection in which the ring identified as making the AE connection intersects the rings which create the eye in two passes, encircling the eye.
Sandwich:
Subfamily containing weaves which possess the sandwich structure, defined as four rings, forming a TE connection, where:
1. Three of the rings form two eyes, in a manner where all three, for purposes of the sandwich, are parallel.
2. The center of the above three rings creates a separate eye with each of the other two.
3. The outside two rings share all relative functional connections in common, i.e. they mirror each other on opposite sides of the center ring.
4. The fourth ring passes through both eyes, thus all three other rings, in one pass.
Japanese connection:
An intersection between two rings or two ring groups such that:
1. The planes containing the intersecting rings are orthogonal.
2. The line that is the intersection of the planes contains the centers of both rings.
3. The intersection is not defined by any other connection type.
Persian connection:
A connection whereby the ring of interest makes both a TE and an AE within a single grain.
Persian grain:
A property of rings or grains of rings signified by the presence of AE connections, and consequently TE connections. A Persian grain or weave need not contain all, or in fact any, Persian connections.
European connection:
A connection between rings or grains of rings in which there are only TE connections.
European grain:
A property of a grain that contains only TE connections, and therefore only European connections.
Purity:
A property of a weave in which every grain is labeled as a grain of that weave type.
Truth: A property of a weave in which every ring makes a connection of that weave type. All truth is pure.
Falsehood: The opposite of truth - a weave which has grains of a connection type yet no connections of that connection type.
Inverted:
The non-orthogonal equivalent connection of Japanese. It is the result of "unfolding" a European unit, or in other words opening TE connections so the eye component rings are at their maximal angle. Because of this angling, inverted is related to spiral.
Weave:
A repeated pattern of connections; the unique way in which a set of rings interconnects to form a knot (as in WhirlyBird), a chain (as in Half Persian 4 in 1), or a sheet (as in European 4 in 1). Changing the size of rings, adding rings that do not participate in binding the weave together, doubling rings or mobiusing rings does not produce a new weave.
Variant:
A modification of a given weave produced by altering ring sizes (as in Snake Skin vs Euro 4-1), adding decorative rings (as in Shaggy Loops vs 2 in 1 Chain, doubling rings (as in King's Maille (European 8 in 2) vs Euro 4-1), or replacing some rings with a simple pattern (as in Flowers in Cages vs Byzantine; or as in using Byzantine to connect a Japanese weave).
Eventually this will be cleaned up so it's easier to read.
The terms:
Ring Group:
A set of parallel rings that have all intersections in common, and which have no rings obstructing maximal planar contact between rings. For all technical purposes, ring groups can be treated as single rings.
Grain:
A set of rings extending in a single direction in which the planes containing the rings are parallel, or in the case of spiraled grain, near parallel.
Spiral:
An intersection of adjacent rings in which the rings are held at, or are intended to be held at, a minimal planar angle.
Near parallel:
At a minimal angle approaching zero, but restricted by ring intersection and wire thickness.
Pass:
A single instance of the circumference of a ring crossing the plane of another ring, usually during intersection.
Functional ring:
A ring that contributes to the structure and stability of a weave by connecting essential weave structures together with intersections.
Decorative ring:
A non-functional ring, which is purely aesthetic, and can be removed without consequence to the structure of the weave. Captives, which often provide stability, are still decorative.
Captive:
A decorative ring that is held in place inside a closed section of weave (cage) through no connections with that cage. A captive ring can have outside connections, but is still captive as long as it is trapped by rings with which it does not intersect.
Orbital:
A ring that is held in place between two other rings by the connection between those two rings. That is, the intersection of the two rings passes through the orbital ring.
Eye:
An opening between two overlapping rings which:
1. do not have all intersections in common
2. are in parallel or near parallel planes.
3. have at least one ring making a single pass through said opening.
Through-the-Eye (TE) connection:
A 2-1 ring intersection in which the ring identified as making the TE connection intersects the eye with a single pass. The TE ring must encircle both eye rings, which is guaranteed with rings of the same size.
Around-the-Eye (AE) connection:
A 2-1 ring intersection in which the ring identified as making the AE connection intersects the rings which create the eye in two passes, encircling the eye.
Sandwich:
Subfamily containing weaves which possess the sandwich structure, defined as four rings, forming a TE connection, where:
1. Three of the rings form two eyes, in a manner where all three, for purposes of the sandwich, are parallel.
2. The center of the above three rings creates a separate eye with each of the other two.
3. The outside two rings share all relative functional connections in common, i.e. they mirror each other on opposite sides of the center ring.
4. The fourth ring passes through both eyes, thus all three other rings, in one pass.
Japanese connection:
An intersection between two rings or two ring groups such that:
1. The planes containing the intersecting rings are orthogonal.
2. The line that is the intersection of the planes contains the centers of both rings.
3. The intersection is not defined by any other connection type.
Persian connection:
A connection whereby the ring of interest makes both a TE and an AE within a single grain.
Persian grain:
A property of rings or grains of rings signified by the presence of AE connections, and consequently TE connections. A Persian grain or weave need not contain all, or in fact any, Persian connections.
European connection:
A connection between rings or grains of rings in which there are only TE connections.
European grain:
A property of a grain that contains only TE connections, and therefore only European connections.
Purity:
A property of a weave in which every grain is labeled as a grain of that weave type.
Truth: A property of a weave in which every ring makes a connection of that weave type. All truth is pure.
Falsehood: The opposite of truth - a weave which has grains of a connection type yet no connections of that connection type.
Inverted:
The non-orthogonal equivalent connection of Japanese. It is the result of "unfolding" a European unit, or in other words opening TE connections so the eye component rings are at their maximal angle. Because of this angling, inverted is related to spiral.
Weave:
A repeated pattern of connections; the unique way in which a set of rings interconnects to form a knot (as in WhirlyBird), a chain (as in Half Persian 4 in 1), or a sheet (as in European 4 in 1). Changing the size of rings, adding rings that do not participate in binding the weave together, doubling rings or mobiusing rings does not produce a new weave.
Variant:
A modification of a given weave produced by altering ring sizes (as in Snake Skin vs Euro 4-1), adding decorative rings (as in Shaggy Loops vs 2 in 1 Chain, doubling rings (as in King's Maille (European 8 in 2) vs Euro 4-1), or replacing some rings with a simple pattern (as in Flowers in Cages vs Byzantine; or as in using Byzantine to connect a Japanese weave).
Original URL: http://www.mailleartisans.org/articles/articledisplay.php?key=432
