Mathematics

Mathematics, or sôhoûk, is considered the language of the First Law—the underlying logic of the universe before the Shattering. It is the study of quantity, structure, and change.

Basic Vocabulary

English	Hîsyêô	Literal Meaning
Number	mîkdol	Amount / Number
Zero	xûnyu	Void / Nothing
Infinity	sônsûs	Endless / Infinite
Equation	wofok sôhoûk	Arithmetic proof
Shape	xîncûon	Form / Shape
Measurement	dûstu	To measure (Verb) / Measurement (Noun)

Operations

Operations are often expressed using prepositions or specific verbs.

Operation	Hîsyêô	Example (2 + 2 = 4)
Plus (Add)	ûn (and)	dûî  ûn  dûî  li  nonkû.
Minus (Subtract)	sûn (from)	dûî  sûn  nonkû  li  dûî. (Two from four is two).
Times (Multiply)	xokôn (each)	dûî  xokôn  dûî  li  nonkû. (Two each two is four).
Divide	fun (part)	dûî  fun  nonkû  li  dûî. (Two parts of four is two).
Equals	li (is)

Algebra

Algebra involves the study of symbols and the rules for manipulating these symbols.

English	Hîsyêô	Literal Meaning
Variable	mîkdol ( dês  fisun)	Unknown number
Constant	mîkdol  totsi	Standing number
Function	ondo  sôhoûk	Arithmetic preparation
Graph	toswîl  sôhoûk	Arithmetic drawing
To Solve	yosten	To discover / To find out

Example Problem:

Latin

 kûu  yosten  mîkdol  dês  fisun Xo. Solve for X.

 dûî  xokôn  mîkdol Xo  li  dus. ( zuwobû:  tîû) 2 times X equals 10. (Answer: 5)

ɽʋʄꜿɟʌ

 ɔʄɽʃ  ɀ́c̃ɿ  ƶ̑ɟʌ͊  ʌ́ʇ  ɤȷɐ̃ʃ ‹ɋ›: Solve for X.

 ʌʄɽɟ  ɋɔ̃ı  ƶ̑ɟʌ͊ ‹ɋ›  ʓȷ  ʌ́ʃ: ( ⱴʃʒʋʄ–  cɟɽʄ) 2 times X equals 10. (Answer: 5)

aStK ulNfu

 kur  yStqN  miKdL  deS  fjsrN 〈 x 〉. Solve for X.

 dui  xkoN  miKdL 〈 x 〉  lj  drS. ( zrwbu:  tiu) 2 times X equals 10. (Answer: 5)

Geometry

Geometry (xîncûon) deals with the properties of space and the forms that occupy it.

Fundamental Elements

English	Hîsyêô	Description
Point / Dot	bindû	A specific location in space.
Line	gîto	A connection between points.
Edge / Rim	dînzoû	The boundary of a shape.
Straight	mûstokîn	Lacking curvature.
Curved	wonkûk	Bending or deviating from straightness.

Shapes & Solids

English	Hîsyêô	Description
Triangle	mûkônun	A three-sided polygon.
Circle / Ring	wutun	A continuous curved line equidistant from a center.
Sphere	gundolê	A perfectly round 3D object.
Block	dîncî	A solid object with flat faces (cube/rectangular prism).
Tube	môkôfo	A hollow cylinder.
Cone	tohilôk	A solid tapering to a point from a circular base.
Pyramid	cokwoli	A structure with triangular outer surfaces.

Latin

 mûkônun  fuî  niswî  sôbo. A triangle has three sides.

 li  xôn  eswen  û  gîto  mûstokîn  en  gîto  wonkûk. A straight line is better than a curved line.

ɽʋʄꜿɟʌ

 ƶʄɔıƨ̃ʃ  ɤʃɽɟ  ƨ́ȷʒɟ  ɐıʋ: A triangle has three sides.

 ʓȷ  ɋ̃ı  ɽ́ɿʒ̃ɿ  ɽʄ  ꜿɟc  ƶ́ʄcɔ̃ɟ  ɽ̃ɿ  ꜿɟc  ʒ̃ɔ̑ʄ: A straight line is better than a curved line.

aStK ulNfu

 mukonrN  fri  njSwi  sob. A triangle has three sides.

 lj  xoN  qSwqN  u  git  muStkiN  qN  git  wNkuK. A straight line is better than a curved line.

Describing Polygons

For shapes that do not have a specific name, you can construct a descriptive name using xîncûon (shape) followed by the number of sôbo (sides).

Formula: xîncûon yê + [Number] + sôbo

English	Hîsyêô	Literal Meaning
Pentagon	xîncûon  yê  tîû  sôbo	Shape of five sides
Hexagon	xîncûon  yê  toû  sôbo	Shape of six sides
Octagon	xîncûon  yê  tukwos  sôbo	Shape of eight sides
Polygon	xîncûon  yê  êto  sôbo	Shape of many sides

Latin

 xîncûon  yê  toû  sôbo  fuî  toû  sôbo. A hexagon has six sides.

ɽʋʄꜿɟʌ

 ɋ̃ɟꞇʄɽ̃  ɀʇ  cɽʄ  ɐıʋ  ɤʃɽɟ  cɽʄ  ɐıʋ: A hexagon has six sides.

aStK ulNfu

 xiNcuaN  ye  tAu  sob  fri  tAu  sob. A hexagon has six sides.