Math Types & Utilities (mathutils)¶
This module provides access to math operations.
Note
Classes, methods and attributes that accept vectors also accept other numeric sequences, such as tuples, lists.
The mathutils
module provides the following classes:

class
mathutils.
Color
(rgb)¶ This object gives access to Colors in Blender.
 Parameters
rgb (3d vector) – (r, g, b) color values

copy
()¶ Returns a copy of this color.
 Returns
A copy of the color.
 Return type
Note
use this to get a copy of a wrapped color with no reference to the original data.

freeze
()¶ Make this object immutable.
After this the object can be hashed, used in dictionaries & sets.
 Returns
An instance of this object.

b
¶ Blue color channel.
 Type
float

g
¶ Green color channel.
 Type
float

h
¶ HSV Hue component in [0, 1].
 Type
float

hsv
¶ HSV Values in [0, 1].
 Type
float triplet

is_frozen
¶ True when this object has been frozen (readonly).
 Type
boolean

is_wrapped
¶ True when this object wraps external data (readonly).
 Type
boolean

owner
¶ The item this is wrapping or None (readonly).

r
¶ Red color channel.
 Type
float

s
¶ HSV Saturation component in [0, 1].
 Type
float

v
¶ HSV Value component in [0, 1].
 Type
float

class
mathutils.
Euler
(angles, order='XYZ')¶ This object gives access to Eulers in Blender.
See also
Euler angles on Wikipedia.
 Parameters
angles (3d vector) – Three angles, in radians.
order (str) – Optional order of the angles, a permutation of
XYZ
.

copy
()¶ Returns a copy of this euler.
 Returns
A copy of the euler.
 Return type
Note
use this to get a copy of a wrapped euler with no reference to the original data.

freeze
()¶ Make this object immutable.
After this the object can be hashed, used in dictionaries & sets.
 Returns
An instance of this object.

make_compatible
(other)¶ Make this euler compatible with another, so interpolating between them works as intended.
Note
the rotation order is not taken into account for this function.

rotate
(other)¶ Rotates the euler by another mathutils value.
 Parameters
other (
Euler
,Quaternion
orMatrix
) – rotation component of mathutils value

rotate_axis
(axis, angle)¶ Rotates the euler a certain amount and returning a unique euler rotation (no 720 degree pitches).
 Parameters
axis (string) – single character in [‘X, ‘Y’, ‘Z’].
angle (float) – angle in radians.

to_matrix
()¶ Return a matrix representation of the euler.
 Returns
A 3x3 rotation matrix representation of the euler.
 Return type

to_quaternion
()¶ Return a quaternion representation of the euler.
 Returns
Quaternion representation of the euler.
 Return type

zero
()¶ Set all values to zero.

is_frozen
¶ True when this object has been frozen (readonly).
 Type
boolean

is_wrapped
¶ True when this object wraps external data (readonly).
 Type
boolean

order
¶ Euler rotation order.
 Type
string in [‘XYZ’, ‘XZY’, ‘YXZ’, ‘YZX’, ‘ZXY’, ‘ZYX’]

owner
¶ The item this is wrapping or None (readonly).

x
¶ Euler axis angle in radians.
 Type
float

y
¶ Euler axis angle in radians.
 Type
float

z
¶ Euler axis angle in radians.
 Type
float

class
mathutils.
Matrix
([rows])¶ This object gives access to Matrices in Blender, supporting square and rectangular matrices from 2x2 up to 4x4.
 Parameters
rows (2d number sequence) – Sequence of rows. When omitted, a 4x4 identity matrix is constructed.

classmethod
Diagonal
(vector)¶ Create a diagonal (scaling) matrix using the values from the vector.

classmethod
Identity
(size)¶ Create an identity matrix.
 Parameters
size (int) – The size of the identity matrix to construct [2, 4].
 Returns
A new identity matrix.
 Return type

classmethod
OrthoProjection
(axis, size)¶ Create a matrix to represent an orthographic projection.

classmethod
Rotation
(angle, size, axis)¶ Create a matrix representing a rotation.

classmethod
Scale
(factor, size, axis)¶ Create a matrix representing a scaling.

classmethod
Shear
(plane, size, factor)¶ Create a matrix to represent an shear transformation.
 Parameters
plane (string) – Can be any of the following: [‘X’, ‘Y’, ‘XY’, ‘XZ’, ‘YZ’], where a single axis is for a 2D matrix only.
size (int) – The size of the shear matrix to construct [2, 4].
factor (float or float pair) – The factor of shear to apply. For a 3 or 4 size matrix pass a pair of floats corresponding with the plane axis.
 Returns
A new shear matrix.
 Return type

classmethod
Translation
(vector)¶ Create a matrix representing a translation.

adjugate
()¶ Set the matrix to its adjugate.
 Raises
ValueError – if the matrix cannot be adjugate.
See also
Adjugate matrix on Wikipedia.

adjugated
()¶ Return an adjugated copy of the matrix.
 Returns
the adjugated matrix.
 Return type
 Raises
ValueError – if the matrix cannot be adjugated

decompose
()¶ Return the translation, rotation, and scale components of this matrix.
 Returns
tuple of translation, rotation, and scale
 Return type
(
Vector
,Quaternion
,Vector
)

determinant
()¶ Return the determinant of a matrix.
 Returns
Return the determinant of a matrix.
 Return type
float
See also
Determinant on Wikipedia.

freeze
()¶ Make this object immutable.
After this the object can be hashed, used in dictionaries & sets.
 Returns
An instance of this object.

identity
()¶ Set the matrix to the identity matrix.
Note
An object with a location and rotation of zero, and a scale of one will have an identity matrix.
See also
Identity matrix on Wikipedia.

invert
(fallback=None)¶ Set the matrix to its inverse.
 Parameters
fallback (
Matrix
) – Set the matrix to this value when the inverse cannot be calculated (instead of raising aValueError
exception).
See also
Inverse matrix on Wikipedia.

invert_safe
()¶ Set the matrix to its inverse, will never error. If degenerated (e.g. zero scale on an axis), add some epsilon to its diagonal, to get an invertible one. If tweaked matrix is still degenerated, set to the identity matrix instead.
See also
Inverse Matrix on Wikipedia.

inverted
(fallback=None)¶ Return an inverted copy of the matrix.
 Parameters
fallback (any) – return this when the inverse can’t be calculated (instead of raising a
ValueError
). Returns
the inverted matrix or fallback when given.
 Return type

inverted_safe
()¶ Return an inverted copy of the matrix, will never error. If degenerated (e.g. zero scale on an axis), add some epsilon to its diagonal, to get an invertible one. If tweaked matrix is still degenerated, return the identity matrix instead.
 Returns
the inverted matrix.
 Return type

lerp
(other, factor)¶ Returns the interpolation of two matrices. Uses polar decomposition, see “Matrix Animation and Polar Decomposition”, Shoemake and Duff, 1992.

normalize
()¶ Normalize each of the matrix columns.

normalized
()¶ Return a column normalized matrix
 Returns
a column normalized matrix
 Return type

resize_4x4
()¶ Resize the matrix to 4x4.

rotate
(other)¶ Rotates the matrix by another mathutils value.
 Parameters
other (
Euler
,Quaternion
orMatrix
) – rotation component of mathutils value
Note
If any of the columns are not unit length this may not have desired results.

to_euler
(order, euler_compat)¶ Return an Euler representation of the rotation matrix (3x3 or 4x4 matrix only).
 Parameters
order (string) – Optional rotation order argument in [‘XYZ’, ‘XZY’, ‘YXZ’, ‘YZX’, ‘ZXY’, ‘ZYX’].
euler_compat (
Euler
) – Optional euler argument the new euler will be made compatible with (no axis flipping between them). Useful for converting a series of matrices to animation curves.
 Returns
Euler representation of the matrix.
 Return type

to_quaternion
()¶ Return a quaternion representation of the rotation matrix.
 Returns
Quaternion representation of the rotation matrix.
 Return type

to_scale
()¶ Return the scale part of a 3x3 or 4x4 matrix.
 Returns
Return the scale of a matrix.
 Return type
Note
This method does not return a negative scale on any axis because it is not possible to obtain this data from the matrix alone.

to_translation
()¶ Return the translation part of a 4 row matrix.
 Returns
Return the translation of a matrix.
 Return type

col
¶ Access the matrix by columns, 3x3 and 4x4 only, (readonly).
 Type
Matrix Access

is_frozen
¶ True when this object has been frozen (readonly).
 Type
boolean

is_negative
¶ True if this matrix results in a negative scale, 3x3 and 4x4 only, (readonly).
 Type
bool

is_orthogonal
¶ True if this matrix is orthogonal, 3x3 and 4x4 only, (readonly).
 Type
bool

is_orthogonal_axis_vectors
¶ True if this matrix has got orthogonal axis vectors, 3x3 and 4x4 only, (readonly).
 Type
bool

is_wrapped
¶ True when this object wraps external data (readonly).
 Type
boolean

median_scale
¶ The average scale applied to each axis (readonly).
 Type
float

owner
¶ The item this is wrapping or None (readonly).

row
¶ Access the matrix by rows (default), (readonly).
 Type
Matrix Access

class
mathutils.
Quaternion
([seq[, angle]])¶ This object gives access to Quaternions in Blender.
 Parameters
seq (
Vector
) – size 3 or 4angle (float) – rotation angle, in radians
The constructor takes arguments in various forms:
 (), no args
Create an identity quaternion
 (wxyz)
Create a quaternion from a
(w, x, y, z)
vector. (exponential_map)
Create a quaternion from a 3d exponential map vector.
See also
 (axis, angle)
Create a quaternion representing a rotation of angle radians over axis.
See also

conjugate
()¶ Set the quaternion to its conjugate (negate x, y, z).

conjugated
()¶ Return a new conjugated quaternion.
 Returns
a new quaternion.
 Return type

copy
()¶ Returns a copy of this quaternion.
 Returns
A copy of the quaternion.
 Return type
Note
use this to get a copy of a wrapped quaternion with no reference to the original data.

cross
(other)¶ Return the cross product of this quaternion and another.
 Parameters
other (
Quaternion
) – The other quaternion to perform the cross product with. Returns
The cross product.
 Return type

dot
(other)¶ Return the dot product of this quaternion and another.
 Parameters
other (
Quaternion
) – The other quaternion to perform the dot product with. Returns
The dot product.
 Return type
float

freeze
()¶ Make this object immutable.
After this the object can be hashed, used in dictionaries & sets.
 Returns
An instance of this object.

identity
()¶ Set the quaternion to an identity quaternion.
 Return type

invert
()¶ Set the quaternion to its inverse.

inverted
()¶ Return a new, inverted quaternion.
 Returns
the inverted value.
 Return type

make_compatible
(other)¶ Make this quaternion compatible with another, so interpolating between them works as intended.

negate
()¶ Set the quaternion to its negative.
 Return type

normalize
()¶ Normalize the quaternion.

normalized
()¶ Return a new normalized quaternion.
 Returns
a normalized copy.
 Return type

rotate
(other)¶ Rotates the quaternion by another mathutils value.
 Parameters
other (
Euler
,Quaternion
orMatrix
) – rotation component of mathutils value

rotation_difference
(other)¶ Returns a quaternion representing the rotational difference.
 Parameters
other (
Quaternion
) – second quaternion. Returns
the rotational difference between the two quat rotations.
 Return type

slerp
(other, factor)¶ Returns the interpolation of two quaternions.
 Parameters
other (
Quaternion
) – value to interpolate with.factor (float) – The interpolation value in [0.0, 1.0].
 Returns
The interpolated rotation.
 Return type

to_axis_angle
()¶ Return the axis, angle representation of the quaternion.
 Returns
axis, angle.
 Return type
(
Vector
, float) pair

to_euler
(order, euler_compat)¶ Return Euler representation of the quaternion.
 Parameters
order (string) – Optional rotation order argument in [‘XYZ’, ‘XZY’, ‘YXZ’, ‘YZX’, ‘ZXY’, ‘ZYX’].
euler_compat (
Euler
) – Optional euler argument the new euler will be made compatible with (no axis flipping between them). Useful for converting a series of matrices to animation curves.
 Returns
Euler representation of the quaternion.
 Return type

to_exponential_map
()¶ Return the exponential map representation of the quaternion.
This representation consist of the rotation axis multiplied by the rotation angle. Such a representation is useful for interpolation between multiple orientations.
 Returns
exponential map.
 Return type
Vector
of size 3
To convert back to a quaternion, pass it to the
Quaternion
constructor.

to_matrix
()¶ Return a matrix representation of the quaternion.
 Returns
A 3x3 rotation matrix representation of the quaternion.
 Return type

to_swing_twist
(axis)¶ Split the rotation into a swing quaternion with the specified axis fixed at zero, and the remaining twist rotation angle.
 Parameters
axis – twist axis as a string in [‘X’, ‘Y’, ‘Z’]
 Returns
swing, twist angle.
 Return type
(
Quaternion
, float) pair

angle
¶ Angle of the quaternion.
 Type
float

is_frozen
¶ True when this object has been frozen (readonly).
 Type
boolean

is_wrapped
¶ True when this object wraps external data (readonly).
 Type
boolean

magnitude
¶ Size of the quaternion (readonly).
 Type
float

owner
¶ The item this is wrapping or None (readonly).

w
¶ Quaternion axis value.
 Type
float

x
¶ Quaternion axis value.
 Type
float

y
¶ Quaternion axis value.
 Type
float

z
¶ Quaternion axis value.
 Type
float

class
mathutils.
Vector
(seq)¶ This object gives access to Vectors in Blender.
 Parameters
seq (sequence of numbers) – Components of the vector, must be a sequence of at least two

classmethod
Fill
(size, fill=0.0)¶ Create a vector of length size with all values set to fill.
 Parameters
size (int) – The length of the vector to be created.
fill (float) – The value used to fill the vector.

classmethod
Linspace
(start, stop, size)¶ Create a vector of the specified size which is filled with linearly spaced values between start and stop values.
 Parameters
start (int) – The start of the range used to fill the vector.
stop (int) – The end of the range used to fill the vector.
size (int) – The size of the vector to be created.

classmethod
Range
(start=0, stop, step=1)¶ Create a filled with a range of values.
 Parameters
start (int) – The start of the range used to fill the vector.
stop (int) – The end of the range used to fill the vector.
step (int) – The step between successive values in the vector.

classmethod
Repeat
(vector, size)¶ Create a vector by repeating the values in vector until the required size is reached.
 Parameters
tuple (
mathutils.Vector
) – The vector to draw values from.size (int) – The size of the vector to be created.

angle
(other, fallback=None)¶ Return the angle between two vectors.
 Parameters
other (
Vector
) – another vector to compare the angle withfallback (any) – return this when the angle can’t be calculated (zero length vector), (instead of raising a
ValueError
).
 Returns
angle in radians or fallback when given
 Return type
float

angle_signed
(other, fallback)¶ Return the signed angle between two 2D vectors (clockwise is positive).
 Parameters
other (
Vector
) – another vector to compare the angle withfallback (any) – return this when the angle can’t be calculated (zero length vector), (instead of raising a
ValueError
).
 Returns
angle in radians or fallback when given
 Return type
float

copy
()¶ Returns a copy of this vector.
 Returns
A copy of the vector.
 Return type
Note
use this to get a copy of a wrapped vector with no reference to the original data.

cross
(other)¶ Return the cross product of this vector and another.
 Parameters
other (
Vector
) – The other vector to perform the cross product with. Returns
The cross product.
 Return type
Vector
or float when 2D vectors are used
Note
both vectors must be 2D or 3D

dot
(other)¶ Return the dot product of this vector and another.
 Parameters
other (
Vector
) – The other vector to perform the dot product with. Returns
The dot product.
 Return type
float

freeze
()¶ Make this object immutable.
After this the object can be hashed, used in dictionaries & sets.
 Returns
An instance of this object.

lerp
(other, factor)¶ Returns the interpolation of two vectors.

negate
()¶ Set all values to their negative.

normalize
()¶ Normalize the vector, making the length of the vector always 1.0.
Warning
Normalizing a vector where all values are zero has no effect.
Note
Normalize works for vectors of all sizes, however 4D Vectors w axis is left untouched.

normalized
()¶ Return a new, normalized vector.
 Returns
a normalized copy of the vector
 Return type

orthogonal
()¶ Return a perpendicular vector.
 Returns
a new vector 90 degrees from this vector.
 Return type
Note
the axis is undefined, only use when any orthogonal vector is acceptable.

project
(other)¶ Return the projection of this vector onto the other.

reflect
(mirror)¶ Return the reflection vector from the mirror argument.

resize
(size=3)¶ Resize the vector to have size number of elements.

resize_2d
()¶ Resize the vector to 2D (x, y).

resize_3d
()¶ Resize the vector to 3D (x, y, z).

resize_4d
()¶ Resize the vector to 4D (x, y, z, w).

resized
(size=3)¶ Return a resized copy of the vector with size number of elements.
 Returns
a new vector
 Return type

rotate
(other)¶ Rotate the vector by a rotation value.
Note
2D vectors are a special case that can only be rotated by a 2x2 matrix.
 Parameters
other (
Euler
,Quaternion
orMatrix
) – rotation component of mathutils value

rotation_difference
(other)¶ Returns a quaternion representing the rotational difference between this vector and another.
 Parameters
other (
Vector
) – second vector. Returns
the rotational difference between the two vectors.
 Return type
Note
2D vectors raise an
AttributeError
.

slerp
(other, factor, fallback=None)¶ Returns the interpolation of two nonzero vectors (spherical coordinates).
 Parameters
other (
Vector
) – value to interpolate with.factor (float) – The interpolation value typically in [0.0, 1.0].
fallback (any) – return this when the vector can’t be calculated (zero length vector or direct opposites), (instead of raising a
ValueError
).
 Returns
The interpolated vector.
 Return type

to_track_quat
(track, up)¶ Return a quaternion rotation from the vector and the track and up axis.
 Parameters
track (string) – Track axis in [‘X’, ‘Y’, ‘Z’, ‘X’, ‘Y’, ‘Z’].
up (string) – Up axis in [‘X’, ‘Y’, ‘Z’].
 Returns
rotation from the vector and the track and up axis.
 Return type

to_tuple
(precision= 1)¶ Return this vector as a tuple with.
 Parameters
precision (int) – The number to round the value to in [1, 21].
 Returns
the values of the vector rounded by precision
 Return type
tuple

zero
()¶ Set all values to zero.

is_frozen
¶ True when this object has been frozen (readonly).
 Type
boolean

is_wrapped
¶ True when this object wraps external data (readonly).
 Type
boolean

length
¶ Vector Length.
 Type
float

length_squared
¶ Vector length squared (v.dot(v)).
 Type
float

magnitude
¶ Vector Length.
 Type
float

owner
¶ The item this is wrapping or None (readonly).

w
¶ Vector W axis (4D Vectors only).
 Type
float

ww
¶ Undocumented, consider contributing.

www
¶ Undocumented, consider contributing.

wwww
¶ Undocumented, consider contributing.

wwwx
¶ Undocumented, consider contributing.

wwwy
¶ Undocumented, consider contributing.

wwwz
¶ Undocumented, consider contributing.

wwx
¶ Undocumented, consider contributing.

wwxw
¶ Undocumented, consider contributing.

wwxx
¶ Undocumented, consider contributing.

wwxy
¶ Undocumented, consider contributing.

wwxz
¶ Undocumented, consider contributing.

wwy
¶ Undocumented, consider contributing.

wwyw
¶ Undocumented, consider contributing.

wwyx
¶ Undocumented, consider contributing.

wwyy
¶ Undocumented, consider contributing.

wwyz
¶ Undocumented, consider contributing.

wwz
¶ Undocumented, consider contributing.

wwzw
¶ Undocumented, consider contributing.

wwzx
¶ Undocumented, consider contributing.

wwzy
¶ Undocumented, consider contributing.

wwzz
¶ Undocumented, consider contributing.

wx
¶ Undocumented, consider contributing.

wxw
¶ Undocumented, consider contributing.

wxww
¶ Undocumented, consider contributing.

wxwx
¶ Undocumented, consider contributing.

wxwy
¶ Undocumented, consider contributing.

wxwz
¶ Undocumented, consider contributing.

wxx
¶ Undocumented, consider contributing.

wxxw
¶ Undocumented, consider contributing.

wxxx
¶ Undocumented, consider contributing.

wxxy
¶ Undocumented, consider contributing.

wxxz
¶ Undocumented, consider contributing.

wxy
¶ Undocumented, consider contributing.

wxyw
¶ Undocumented, consider contributing.

wxyx
¶ Undocumented, consider contributing.

wxyy
¶ Undocumented, consider contributing.

wxyz
¶ Undocumented, consider contributing.

wxz
¶ Undocumented, consider contributing.

wxzw
¶ Undocumented, consider contributing.

wxzx
¶ Undocumented, consider contributing.

wxzy
¶ Undocumented, consider contributing.

wxzz
¶ Undocumented, consider contributing.

wy
¶ Undocumented, consider contributing.

wyw
¶ Undocumented, consider contributing.

wyww
¶ Undocumented, consider contributing.

wywx
¶ Undocumented, consider contributing.

wywy
¶ Undocumented, consider contributing.

wywz
¶ Undocumented, consider contributing.

wyx
¶ Undocumented, consider contributing.

wyxw
¶ Undocumented, consider contributing.

wyxx
¶ Undocumented, consider contributing.

wyxy
¶ Undocumented, consider contributing.

wyxz
¶ Undocumented, consider contributing.

wyy
¶ Undocumented, consider contributing.

wyyw
¶ Undocumented, consider contributing.

wyyx
¶ Undocumented, consider contributing.

wyyy
¶ Undocumented, consider contributing.

wyyz
¶ Undocumented, consider contributing.

wyz
¶ Undocumented, consider contributing.

wyzw
¶ Undocumented, consider contributing.

wyzx
¶ Undocumented, consider contributing.

wyzy
¶ Undocumented, consider contributing.

wyzz
¶ Undocumented, consider contributing.

wz
¶ Undocumented, consider contributing.

wzw
¶ Undocumented, consider contributing.

wzww
¶ Undocumented, consider contributing.

wzwx
¶ Undocumented, consider contributing.

wzwy
¶ Undocumented, consider contributing.

wzwz
¶ Undocumented, consider contributing.

wzx
¶ Undocumented, consider contributing.

wzxw
¶ Undocumented, consider contributing.

wzxx
¶ Undocumented, consider contributing.

wzxy
¶ Undocumented, consider contributing.

wzxz
¶ Undocumented, consider contributing.

wzy
¶ Undocumented, consider contributing.

wzyw
¶ Undocumented, consider contributing.

wzyx
¶ Undocumented, consider contributing.

wzyy
¶ Undocumented, consider contributing.

wzyz
¶ Undocumented, consider contributing.

wzz
¶ Undocumented, consider contributing.

wzzw
¶ Undocumented, consider contributing.

wzzx
¶ Undocumented, consider contributing.

wzzy
¶ Undocumented, consider contributing.

wzzz
¶ Undocumented, consider contributing.

x
¶ Vector X axis.
 Type
float

xw
¶ Undocumented, consider contributing.

xww
¶ Undocumented, consider contributing.

xwww
¶ Undocumented, consider contributing.

xwwx
¶ Undocumented, consider contributing.

xwwy
¶ Undocumented, consider contributing.

xwwz
¶ Undocumented, consider contributing.

xwx
¶ Undocumented, consider contributing.

xwxw
¶ Undocumented, consider contributing.

xwxx
¶ Undocumented, consider contributing.

xwxy
¶ Undocumented, consider contributing.

xwxz
¶ Undocumented, consider contributing.

xwy
¶ Undocumented, consider contributing.

xwyw
¶ Undocumented, consider contributing.

xwyx
¶ Undocumented, consider contributing.

xwyy
¶ Undocumented, consider contributing.

xwyz
¶ Undocumented, consider contributing.

xwz
¶ Undocumented, consider contributing.

xwzw
¶ Undocumented, consider contributing.

xwzx
¶ Undocumented, consider contributing.

xwzy
¶ Undocumented, consider contributing.

xwzz
¶ Undocumented, consider contributing.

xx
¶ Undocumented, consider contributing.

xxw
¶ Undocumented, consider contributing.

xxww
¶ Undocumented, consider contributing.

xxwx
¶ Undocumented, consider contributing.

xxwy
¶ Undocumented, consider contributing.

xxwz
¶ Undocumented, consider contributing.

xxx
¶ Undocumented, consider contributing.

xxxw
¶ Undocumented, consider contributing.

xxxx
¶ Undocumented, consider contributing.

xxxy
¶ Undocumented, consider contributing.

xxxz
¶ Undocumented, consider contributing.

xxy
¶ Undocumented, consider contributing.

xxyw
¶ Undocumented, consider contributing.

xxyx
¶ Undocumented, consider contributing.

xxyy
¶ Undocumented, consider contributing.

xxyz
¶ Undocumented, consider contributing.

xxz
¶ Undocumented, consider contributing.

xxzw
¶ Undocumented, consider contributing.

xxzx
¶ Undocumented, consider contributing.

xxzy
¶ Undocumented, consider contributing.

xxzz
¶ Undocumented, consider contributing.

xy
¶ Undocumented, consider contributing.

xyw
¶ Undocumented, consider contributing.

xyww
¶ Undocumented, consider contributing.

xywx
¶ Undocumented, consider contributing.

xywy
¶ Undocumented, consider contributing.

xywz
¶ Undocumented, consider contributing.

xyx
¶ Undocumented, consider contributing.

xyxw
¶ Undocumented, consider contributing.

xyxx
¶ Undocumented, consider contributing.

xyxy
¶ Undocumented, consider contributing.

xyxz
¶ Undocumented, consider contributing.

xyy
¶ Undocumented, consider contributing.

xyyw
¶ Undocumented, consider contributing.

xyyx
¶ Undocumented, consider contributing.

xyyy
¶ Undocumented, consider contributing.

xyyz
¶ Undocumented, consider contributing.

xyz
¶ Undocumented, consider contributing.

xyzw
¶ Undocumented, consider contributing.

xyzx
¶ Undocumented, consider contributing.

xyzy
¶ Undocumented, consider contributing.

xyzz
¶ Undocumented, consider contributing.

xz
¶ Undocumented, consider contributing.

xzw
¶ Undocumented, consider contributing.

xzww
¶ Undocumented, consider contributing.

xzwx
¶ Undocumented, consider contributing.

xzwy
¶ Undocumented, consider contributing.

xzwz
¶ Undocumented, consider contributing.

xzx
¶ Undocumented, consider contributing.

xzxw
¶ Undocumented, consider contributing.

xzxx
¶ Undocumented, consider contributing.

xzxy
¶ Undocumented, consider contributing.

xzxz
¶ Undocumented, consider contributing.

xzy
¶ Undocumented, consider contributing.

xzyw
¶ Undocumented, consider contributing.

xzyx
¶ Undocumented, consider contributing.

xzyy
¶ Undocumented, consider contributing.

xzyz
¶ Undocumented, consider contributing.

xzz
¶ Undocumented, consider contributing.

xzzw
¶ Undocumented, consider contributing.

xzzx
¶ Undocumented, consider contributing.

xzzy
¶ Undocumented, consider contributing.

xzzz
¶ Undocumented, consider contributing.

y
¶ Vector Y axis.
 Type
float

yw
¶ Undocumented, consider contributing.

yww
¶ Undocumented, consider contributing.

ywww
¶ Undocumented, consider contributing.

ywwx
¶ Undocumented, consider contributing.

ywwy
¶ Undocumented, consider contributing.

ywwz
¶ Undocumented, consider contributing.

ywx
¶ Undocumented, consider contributing.

ywxw
¶ Undocumented, consider contributing.

ywxx
¶ Undocumented, consider contributing.

ywxy
¶ Undocumented, consider contributing.

ywxz
¶ Undocumented, consider contributing.

ywy
¶ Undocumented, consider contributing.

ywyw
¶ Undocumented, consider contributing.

ywyx
¶ Undocumented, consider contributing.

ywyy
¶ Undocumented, consider contributing.

ywyz
¶ Undocumented, consider contributing.

ywz
¶ Undocumented, consider contributing.

ywzw
¶ Undocumented, consider contributing.

ywzx
¶ Undocumented, consider contributing.

ywzy
¶ Undocumented, consider contributing.

ywzz
¶ Undocumented, consider contributing.

yx
¶ Undocumented, consider contributing.

yxw
¶ Undocumented, consider contributing.

yxww
¶ Undocumented, consider contributing.

yxwx
¶ Undocumented, consider contributing.

yxwy
¶ Undocumented, consider contributing.

yxwz
¶ Undocumented, consider contributing.

yxx
¶ Undocumented, consider contributing.

yxxw
¶ Undocumented, consider contributing.

yxxx
¶ Undocumented, consider contributing.

yxxy
¶ Undocumented, consider contributing.

yxxz
¶ Undocumented, consider contributing.

yxy
¶ Undocumented, consider contributing.

yxyw
¶ Undocumented, consider contributing.

yxyx
¶ Undocumented, consider contributing.

yxyy
¶ Undocumented, consider contributing.

yxyz
¶ Undocumented, consider contributing.

yxz
¶ Undocumented, consider contributing.

yxzw
¶ Undocumented, consider contributing.

yxzx
¶ Undocumented, consider contributing.

yxzy
¶ Undocumented, consider contributing.

yxzz
¶ Undocumented, consider contributing.

yy
¶ Undocumented, consider contributing.

yyw
¶ Undocumented, consider contributing.

yyww
¶ Undocumented, consider contributing.

yywx
¶ Undocumented, consider contributing.

yywy
¶ Undocumented, consider contributing.

yywz
¶ Undocumented, consider contributing.

yyx
¶ Undocumented, consider contributing.

yyxw
¶ Undocumented, consider contributing.

yyxx
¶ Undocumented, consider contributing.

yyxy
¶ Undocumented, consider contributing.

yyxz
¶ Undocumented, consider contributing.

yyy
¶ Undocumented, consider contributing.

yyyw
¶ Undocumented, consider contributing.

yyyx
¶ Undocumented, consider contributing.

yyyy
¶ Undocumented, consider contributing.

yyyz
¶ Undocumented, consider contributing.

yyz
¶ Undocumented, consider contributing.

yyzw
¶ Undocumented, consider contributing.

yyzx
¶ Undocumented, consider contributing.

yyzy
¶ Undocumented, consider contributing.

yyzz
¶ Undocumented, consider contributing.

yz
¶ Undocumented, consider contributing.

yzw
¶ Undocumented, consider contributing.

yzww
¶ Undocumented, consider contributing.

yzwx
¶ Undocumented, consider contributing.

yzwy
¶ Undocumented, consider contributing.

yzwz
¶ Undocumented, consider contributing.

yzx
¶ Undocumented, consider contributing.

yzxw
¶ Undocumented, consider contributing.

yzxx
¶ Undocumented, consider contributing.

yzxy
¶ Undocumented, consider contributing.

yzxz
¶ Undocumented, consider contributing.

yzy
¶ Undocumented, consider contributing.

yzyw
¶ Undocumented, consider contributing.

yzyx
¶ Undocumented, consider contributing.

yzyy
¶ Undocumented, consider contributing.

yzyz
¶ Undocumented, consider contributing.

yzz
¶ Undocumented, consider contributing.

yzzw
¶ Undocumented, consider contributing.

yzzx
¶ Undocumented, consider contributing.

yzzy
¶ Undocumented, consider contributing.

yzzz
¶ Undocumented, consider contributing.

z
¶ Vector Z axis (3D Vectors only).
 Type
float

zw
¶ Undocumented, consider contributing.

zww
¶ Undocumented, consider contributing.

zwww
¶ Undocumented, consider contributing.

zwwx
¶ Undocumented, consider contributing.

zwwy
¶ Undocumented, consider contributing.

zwwz
¶ Undocumented, consider contributing.

zwx
¶ Undocumented, consider contributing.

zwxw
¶ Undocumented, consider contributing.

zwxx
¶ Undocumented, consider contributing.

zwxy
¶ Undocumented, consider contributing.

zwxz
¶ Undocumented, consider contributing.

zwy
¶ Undocumented, consider contributing.

zwyw
¶ Undocumented, consider contributing.

zwyx
¶ Undocumented, consider contributing.

zwyy
¶ Undocumented, consider contributing.

zwyz
¶ Undocumented, consider contributing.

zwz
¶ Undocumented, consider contributing.

zwzw
¶ Undocumented, consider contributing.

zwzx
¶ Undocumented, consider contributing.

zwzy
¶ Undocumented, consider contributing.

zwzz
¶ Undocumented, consider contributing.

zx
¶ Undocumented, consider contributing.

zxw
¶ Undocumented, consider contributing.

zxww
¶ Undocumented, consider contributing.

zxwx
¶ Undocumented, consider contributing.

zxwy
¶ Undocumented, consider contributing.

zxwz
¶ Undocumented, consider contributing.

zxx
¶ Undocumented, consider contributing.

zxxw
¶ Undocumented, consider contributing.

zxxx
¶ Undocumented, consider contributing.

zxxy
¶ Undocumented, consider contributing.

zxxz
¶ Undocumented, consider contributing.

zxy
¶ Undocumented, consider contributing.

zxyw
¶ Undocumented, consider contributing.

zxyx
¶ Undocumented, consider contributing.

zxyy
¶ Undocumented, consider contributing.

zxyz
¶ Undocumented, consider contributing.

zxz
¶ Undocumented, consider contributing.

zxzw
¶ Undocumented, consider contributing.

zxzx
¶ Undocumented, consider contributing.

zxzy
¶ Undocumented, consider contributing.

zxzz
¶ Undocumented, consider contributing.

zy
¶ Undocumented, consider contributing.

zyw
¶ Undocumented, consider contributing.

zyww
¶ Undocumented, consider contributing.

zywx
¶ Undocumented, consider contributing.

zywy
¶ Undocumented, consider contributing.

zywz
¶ Undocumented, consider contributing.

zyx
¶ Undocumented, consider contributing.

zyxw
¶ Undocumented, consider contributing.

zyxx
¶ Undocumented, consider contributing.

zyxy
¶ Undocumented, consider contributing.

zyxz
¶ Undocumented, consider contributing.

zyy
¶ Undocumented, consider contributing.

zyyw
¶ Undocumented, consider contributing.

zyyx
¶ Undocumented, consider contributing.

zyyy
¶ Undocumented, consider contributing.

zyyz
¶ Undocumented, consider contributing.

zyz
¶ Undocumented, consider contributing.

zyzw
¶ Undocumented, consider contributing.

zyzx
¶ Undocumented, consider contributing.

zyzy
¶ Undocumented, consider contributing.

zyzz
¶ Undocumented, consider contributing.

zz
¶ Undocumented, consider contributing.

zzw
¶ Undocumented, consider contributing.

zzww
¶ Undocumented, consider contributing.

zzwx
¶ Undocumented, consider contributing.

zzwy
¶ Undocumented, consider contributing.

zzwz
¶ Undocumented, consider contributing.

zzx
¶ Undocumented, consider contributing.

zzxw
¶ Undocumented, consider contributing.

zzxx
¶ Undocumented, consider contributing.

zzxy
¶ Undocumented, consider contributing.

zzxz
¶ Undocumented, consider contributing.

zzy
¶ Undocumented, consider contributing.

zzyw
¶ Undocumented, consider contributing.

zzyx
¶ Undocumented, consider contributing.

zzyy
¶ Undocumented, consider contributing.

zzyz
¶ Undocumented, consider contributing.

zzz
¶ Undocumented, consider contributing.

zzzw
¶ Undocumented, consider contributing.

zzzx
¶ Undocumented, consider contributing.

zzzy
¶ Undocumented, consider contributing.

zzzz
¶ Undocumented, consider contributing.