Editing Rithmatics

There were four known Rithmatic lines at the start of [[The Rithmatist]]; however, two new lines were discovered over the course of the novel (the Line of Silencing and the Line of Revocation).

There were four known Rithmatic lines at the start of [[The Rithmatist]]; however, two new lines were discovered over the course of the novel (the Line of Silencing and the Line of Revocation).

=== Line of Warding ===

=== Line of Warding ===

The strength of a Line of Warding is determined by its evenness and its curvature. The steeper the curve, the stronger the line. This is a moot point in circles as their curvature is equal around its entirety. In ellipses however the strength is variable; peaking at its bindpoints and reaching its lowest point on the sides.{{ref|name=linestrengths}}

The strength of a Line of Warding is determined by its evenness and its curvature. The steeper the curve, the stronger the line. This is a moot point in circles as their curvature is equal around its entirety. In ellipses however the strength is variable; peaking at its bindpoints and reaching its lowest point on the sides.{{ref|name=linestrengths}}

=== Line of Forbiddance ===

=== Line of Forbiddance ===

A Line of Forbiddance is a defensive line that projects an impenetrable plane perpendicular to the surface it is drawn on. Not even the Rithmatist who drew it is able to cross it.{{ref|name=linesofforbiddance}} The strength of a Line of Forbiddance is determined by its straightness; the straighter the line is, the stronger it is. The line's thickness determines the height of the invisible plane it produces above it.{{ref|name=linestrengths}} A well-drawn Line of Forbiddance can stop bullets and, in some cases, cannonballs.{{book ref|Rithmatist|15}}

A Line of Forbiddance is a defensive line that projects an impenetrable plane perpendicular to the surface it is drawn on. Not even the Rithmatist who drew it is able to cross it.{{ref|name=linesofforbiddance}} The strength of a Line of Forbiddance is determined by its straightness; the straighter the line is, the stronger it is. The line's thickness determines the height of the invisible plane it produces above it.{{ref|name=linestrengths}} A well-drawn Line of Forbiddance can stop bullets and, in some cases, cannonballs.{{book ref|Rithmatist|15}}

=== Line of Vigor ===

=== Line of Vigor ===

Lines of Vigor are one of the main offensive Rithmatic lines. It is drawn in the shape of a [[Wikipedia:sine wave|sine wave]], from the outside in. As long as it completes two intervals it will shoot out until it reaches an obstacle. Most chalklings are easily destroyed by Lines of Vigor. If it reaches a Line of Warding it will create a pockmark, if enough hit the same point then the line could be breached.{{ref|name=linesofvigorpartone}} Lines of Vigor reflect off of Lines of Forbiddance.{{ref|name=bouncingvigor}} The strength of a Line of Vigor is based on how large the curve of their wave is. A tighter curve, that puts the same amount of lines in a smaller area is harder to draw, but stronger, than one that has a longer wave.{{ref|name=linestrengths}}

Lines of Vigor are one of the main offensive Rithmatic lines. It is drawn in the shape of a [[Wikipedia:sine wave|sine wave]], from the outside in. As long as it completes two intervals it will shoot out until it reaches an obstacle. Most chalklings are easily destroyed by Lines of Vigor. If it reaches a Line of Warding it will create a pockmark, if enough hit the same point then the line could be breached.{{ref|name=linesofvigorpartone}} Lines of Vigor reflect off of Lines of Forbiddance.{{ref|name=bouncingvigor}} The strength of a Line of Vigor is based on how large the curve of their wave is. A tighter curve, that puts the same amount of lines in a smaller area is harder to draw, but stronger, than one that has a longer wave.{{ref|name=linestrengths}}

Lines of Vigor generally behave like light waves{{wob ref|3155}}: they will reflect off of Lines of Forbiddance and refract upon change of medium. Higher frequency Lines are better at penetrating, while lower frequency Lines are better at energy transfer (i.e. displacing Lines of Warding).

Lines of Vigor generally behave like light waves{{wob ref|3155}}: they will reflect off of Lines of Forbiddance and refract upon change of medium. Higher frequency Lines are better at penetrating, while lower frequency Lines are better at energy transfer (i.e. displacing Lines of Warding).

=== Line of Making ===

=== Line of Making ===

Lines of Making are used to create [[chalkling]]s.{{book ref|Rithmatist|23}} The strength of a Line of Making is determined by the "complexity and aesthetic beauty" of the chalkling it creates.{{ref|name=linestrengths}}

Lines of Making are used to create [[chalkling]]s.{{book ref|Rithmatist|23}} The strength of a Line of Making is determined by the "complexity and aesthetic beauty" of the chalkling it creates.{{ref|name=linestrengths}}

Chalklings made with a Line of Making are unable to affect anything that isn't made of chalk unless the Glyph of Rending is added to their instructions.{{book ref|Rithmatist|8}}

Chalklings made with a Line of Making are unable to affect anything that isn't made of chalk unless the Glyph of Rending is added to their instructions.{{book ref|Rithmatist|8}}

=== Line of Silencing ===

=== Line of Silencing ===

The Line of Silencing has the ability to absorb sound waves. The louder a sound is, the more it is dampened, a whisper is essentially immune. It can only absorb a sound if the sound wave is powerful enough to reach it, and it will run out of power after a given time and stop working.{{book ref|Rithmatist|21}}

The Line of Silencing has the ability to absorb sound waves. The louder a sound is, the more it is dampened, a whisper is essentially immune. It can only absorb a sound if the sound wave is powerful enough to reach it, and it will run out of power after a given time and stop working.{{book ref|Rithmatist|21}}

===Line of Revocation===

===Line of Revocation===

The Line of Revocation is described as being a cross between a Line of Forbiddance and a Line of Vigor. It is able to interact with things not made of chalk.{{book ref|Rithmatist|23}} It is slightly more powerful than a Line of Vigor.{{book ref|Rithmatist|25}}

The Line of Revocation is described as being a cross between a Line of Forbiddance and a Line of Vigor. It is able to interact with things not made of chalk.{{book ref|Rithmatist|23}} It is slightly more powerful than a Line of Vigor.{{book ref|Rithmatist|25}}

== Teaching Rithmatics ==

== Teaching Rithmatics ==

== Rithmatic Defenses ==

== Rithmatic Defenses ==

=== Four-Point Circles ===

=== Four-Point Circles ===

{{anchor|Ballintain Defense}}

{{anchor|Ballintain Defense}}

; Ballintain Defense: A basic and easy to set up defense, that however lacks much internal support.{{book ref|Rithmatist|1}} This defense features two Lines of Forbiddance, each connecting two adjacent bind points. There are also two circular Lines of Warding at two of the bindpoints opposite of each other. Finally there is a defensive chalkling bound to one of the remaining bindpoints. A popular defense based on the four-point circle, it is ideal for more offensive Rithmatists.{{ref|name=ballintain}}

; Ballintain Defense: A basic and easy to set up defense, that however lacks much internal support.{{book ref|Rithmatist|1}} This defense features two Lines of Forbiddance, each connecting two adjacent bind points. There are also two circular Lines of Warding at two of the bindpoints opposite of each other. Finally there is a defensive chalkling bound to one of the remaining bindpoints. A popular defense based on the four-point circle, it is ideal for more offensive Rithmatists.{{ref|name=ballintain}}

{{anchor|Sumsion Defense}}

{{anchor|Sumsion Defense}}

; Sumsion Defense: A defense characterized by a long Line of Forbiddance that lies tangent to its front bindpoint. A circle with a Mark's Cross is also bound to this bindpoint opposite of the main Line of Warding. Defensive chalklings can be bound to the two bindpoints on either side. The rear bindpoint has a line running across it, perpendicular to the curve, to help anchor it.{{ref|name=sumsion}}

; Sumsion Defense: A defense characterized by a long Line of Forbiddance that lies tangent to its front bindpoint. A circle with a Mark's Cross is also bound to this bindpoint opposite of the main Line of Warding. Defensive chalklings can be bound to the two bindpoints on either side. The rear bindpoint has a line running across it, perpendicular to the curve, to help anchor it.{{ref|name=sumsion}}

=== Six-Point Circles ===

=== Six-Point Circles ===

The six-point circle has bindpoints based on a regular hexagon whose vertices are equidistant around the circle's circumference. While it is difficult to determine where the bindpoints are without actually seeing the hexagon, Rithmatists are taught how to intuit their positions. Six-point circles have a greater inherent versatility and defensibility that two- and four-point circles lack.{{ref|name=6pt}}

The six-point circle has bindpoints based on a regular hexagon whose vertices are equidistant around the circle's circumference. While it is difficult to determine where the bindpoints are without actually seeing the hexagon, Rithmatists are taught how to intuit their positions. Six-point circles have a greater inherent versatility and defensibility that two- and four-point circles lack.{{ref|name=6pt}}

{{anchor|Eskridge Defense}}

{{anchor|Eskridge Defense}}

{{anchor|Matson Defense}}

{{anchor|Matson Defense}}

; Matson Defense: A defense that relies heavily on defensive chalklings.{{book ref|Rithmatist|9}} Features two parallel Lines of Forbiddance, each connecting two adjacent bindpoints. The remaining two bindpoints, opposite of each other, have circular Lines of Warding bound to them each with a Mark's Cross. Defensive chalklings are bound to every bind point of the three circles, except where the smaller circles are bound to the larger one, making ten in total.{{ref|name=matson}}

; Matson Defense: A defense that relies heavily on defensive chalklings.{{book ref|Rithmatist|9}} Features two parallel Lines of Forbiddance, each connecting two adjacent bindpoints. The remaining two bindpoints, opposite of each other, have circular Lines of Warding bound to them each with a Mark's Cross. Defensive chalklings are bound to every bind point of the three circles, except where the smaller circles are bound to the larger one, making ten in total.{{ref|name=matson}}

=== Nine-Point Circles ===

=== Nine-Point Circles ===

The nine-point circle has bindpoints based on a non-obtuse triangle. The bindpoints are located at the midpoint of each side and at the points where the triangle's [[Wikipedia: Altitude (triangle)|altitude]] lines intersect the circle. They require a great deal of practice in order to successfully determine where each of the bindpoints are located. Due to this difficulty many Rithmatists do not choose to spend the time required to master it.{{ref|name=9pt}}

The nine-point circle has bindpoints based on a non-obtuse triangle. The bindpoints are located at the midpoint of each side and at the points where the triangle's [[Wikipedia: Altitude (triangle)|altitude]] lines intersect the circle. They require a great deal of practice in order to successfully determine where each of the bindpoints are located. Due to this difficulty many Rithmatists do not choose to spend the time required to master it.{{ref|name=9pt}}

{{anchor|Easton Defense}}

{{anchor|Easton Defense}}

{{anchor|Hill Defense}}

{{anchor|Hill Defense}}

; Hill Defense: A defense that uses Lines of Forbidding, though it can be modified to work without them.{{book ref|Rithmatist|9}}

; Hill Defense: A defense that uses Lines of Forbidding, though it can be modified to work without them.{{book ref|Rithmatist|9}}

{{anchor|Shoaff Defense}}

{{anchor|Shoaff Defense}}

; Shoaff Defense: A defense characterized by its use of elliptical Lines of Warding at each of its bindpoints. A defensive chalkling is then bound at each of the ellipses opposite bindpoint. It only uses two, quite short, Lines of Forbiddance as anchors and is so quite susceptible to Lines of Vigor. It is however ideal against an offense of chalklings. This defense is best for those who specialize in Lines of Vigor{{ref|name=shoaff}}

; Shoaff Defense: A defense characterized by its use of elliptical Lines of Warding at each of its bindpoints. A defensive chalkling is then bound at each of the ellipses opposite bindpoint. It only uses two, quite short, Lines of Forbiddance as anchors and is so quite susceptible to Lines of Vigor. It is however ideal against an offense of chalklings. This defense is best for those who specialize in Lines of Vigor{{ref|name=shoaff}}

{{anchor|Taylor Defense}}

{{anchor|Taylor Defense}}

; Taylor Defense: A defense characterized by a pair of concentric, circular Lines of Warding.{{book ref|Rithmatist|24}} Lines of Forbiddance radiate outward from the bindpoints of the innermost Line of Warding, though the bindpoints of the larger concentric circle, and then through two smaller circles. Each of the smaller circles have a Mark's Cross. There are Lines of Forbiddance that connect two outer circles that are adjacent to each other, lying parallel to one of the Lines radiating out which are used to reflect Lines of Vigor. Defensive Chalklings are bound to many of the remaining bindpoints. The Taylor Defense is commonly held to be the strongest Rithmatic Defense though it requires great speed and accuracy from its user. It's use is somewhat controversial in duels but if the outer concentric circle is breached then it counts as a defeat.{{ref|name=taylor}}

; Taylor Defense: A defense characterized by a pair of concentric, circular Lines of Warding.{{book ref|Rithmatist|24}} Lines of Forbiddance radiate outward from the bindpoints of the innermost Line of Warding, though the bindpoints of the larger concentric circle, and then through two smaller circles. Each of the smaller circles have a Mark's Cross. There are Lines of Forbiddance that connect two outer circles that are adjacent to each other, lying parallel to one of the Lines radiating out which are used to reflect Lines of Vigor. Defensive Chalklings are bound to many of the remaining bindpoints. The Taylor Defense is commonly held to be the strongest Rithmatic Defense though it requires great speed and accuracy from its user. It's use is somewhat controversial in duels but if the outer concentric circle is breached then it counts as a defeat.{{ref|name=taylor}}

=== Ellipses ===

=== Ellipses ===

Lines of Warding in the shape of an ellipse only have two bindpoints.{{ref|name=osborn}} They are strong at the ends (near the bindpoints) but weak along the sides.

Lines of Warding in the shape of an ellipse only have two bindpoints.{{ref|name=osborn}} They are strong at the ends (near the bindpoints) but weak along the sides.

{{anchor|Jordan Defense}}

{{anchor|Jordan Defense}}

{{anchor|Osborn Defense}}

{{anchor|Osborn Defense}}

=== Unknown Configuration ===

=== Unknown Configuration ===

== External Link ==

== External Link ==

== Notes ==

== Notes ==

<references>

<references>

{{file ref|name=linesofforbiddance|Line of Forbiddance.svg|Lines of Forbiddance Illustration}}

{{file ref|name=linesofforbiddance|Line of Forbiddance.svg|Lines of Forbiddance Illustration}}

{{file ref|name=sumsion|Sumsion Defense.svg|Sumsion Defense Illustration}}

{{file ref|name=sumsion|Sumsion Defense.svg|Sumsion Defense Illustration}}

{{file ref|name=linesofvigorpartone|Line of Vigor.svg|Lines of Vigor Part One: Basic Usage Illustration}}

{{file ref|name=linesofvigorpartone|Line of Vigor.svg|Lines of Vigor Part One: Basic Usage Illustration}}

{{file ref|name=ballintain|Ballintain Defense.svg|Ballintain Defense Illustration}}

{{file ref|name=ballintain|Ballintain Defense.svg|Ballintain Defense Illustration}}

{{file ref|name=6pt|Six-Point Circle.svg|Six-point Circle Illustration}}

{{file ref|name=6pt|Six-Point Circle.svg|Six-point Circle Illustration}}