	Name	Description
	Transform(Double)	Initializes a new transform matrix with a specified value along the diagonal.
	Transform(Transform)	Initializes a new transform matrix with a specified value.

	Name	Description
	Determinant	The determinant of this 4x4 matrix.
	Identity	Gets a new identity transform matrix. An identity matrix defines no transformation.
	IsIdentity	Return true if this Transform is the identity transform
	IsValid	Gets a value indicating whether or not this Transform is a valid matrix. A valid transform matrix is not allowed to have any invalid numbers.
	IsZero	True if matrix is Zero4x4, ZeroTransformation, or some other type of zero.The value xform[3][3] can be anything.
	IsZero4x4	True if all values are 0
	IsZeroTransformation	True if all values are 0 and M33 is 1
	Item	Gets or sets the matrix value at the given row and column indixes.
	M00	Gets or sets this[0,0].
	M01	Gets or sets this[0,1].
	M02	Gets or sets this[0,2].
	M03	Gets or sets this[0,3].
	M10	Gets or sets this[1,0].
	M11	Gets or sets this[1,1].
	M12	Gets or sets this[1,2].
	M13	Gets or sets this[1,3].
	M20	Gets or sets this[2,0].
	M21	Gets or sets this[2,1].
	M22	Gets or sets this[2,2].
	M23	Gets or sets this[2,3].
	M30	Gets or sets this[3,0].
	M31	Gets or sets this[3,1].
	M32	Gets or sets this[3,2].
	M33	Gets or sets this[3,3].
	SimilarityType	Gets a value indicating whether or not the Transform maintains similarity. The easiest way to think of Similarity is that any circle, when transformed, remains a circle. Whereas a non-similarity Transform deforms circles into ellipses.
	Unset	Gets an XForm filled with RhinoMath.UnsetValue.
	ZeroTransformation	ZeroTransformation diagonal = (0,0,0,1)

	Name	Description
	ChangeBasis(Plane, Plane)	Computes a change of basis transformation. A basis change is essentially a remapping of geometry from one coordinate system to another.
	ChangeBasis(Vector3d, Vector3d, Vector3d, Vector3d, Vector3d, Vector3d)	Computes a change of basis transformation. A basis change is essentially a remapping of geometry from one coordinate system to another.
	Clone	Returns a deep copy of the transform. For languages that treat structures as value types, this can be accomplished by a simple assignment.
	CompareTo	Compares this transform with another transform. M33 has highest value, then M32, etc..
	Equals(Object)	Determines if another object is a transform and its value equals this transform value. (Overrides ValueTypeEquals(Object).)
	Equals(Transform)	Determines if another transform equals this transform value.
	GetHashCode	Gets a non-unique hashing code for this transform. (Overrides ValueTypeGetHashCode.)
	GetType	(Inherited from Object.)
	Mirror(Plane)	Constructs a new Mirror transformation.
	Mirror(Point3d, Vector3d)	Create mirror transformation matrix The mirror transform maps a point Q to Q - (2(Q-P)oN)N, where P = pointOnMirrorPlane and N = normalToMirrorPlane.
	Multiply	Multiplies (combines) two transformations. This is the same as the * operator between two transformations.
	PlanarProjection	Constructs a projection transformation.
	PlaneToPlane	Create a rotation transformation that orients plane0 to plane1. If you want to orient objects from one plane to another, use this form of transformation.
	ProjectAlong	Construct a projection onto a plane along a specific direction.
	Rotation(Double, Point3d)	Constructs a new rotation transformation with specified angle and rotation center.
	Rotation(Double, Vector3d, Point3d)	Constructs a new rotation transformation with specified angle, rotation center and rotation axis.
	Rotation(Vector3d, Vector3d, Point3d)	Constructs a new rotation transformation with start and end directions and rotation center.
	Rotation(Double, Double, Vector3d, Point3d)	Constructs a new rotation transformation with specified angle, rotation center and rotation axis.
	Rotation(Vector3d, Vector3d, Vector3d, Vector3d, Vector3d, Vector3d)	Constructs a transformation that maps X0 to X1, Y0 to Y1, Z0 to Z1.
	Scale(Point3d, Double)	Constructs a new uniform scaling transformation with a specified scaling anchor point.
	Scale(Plane, Double, Double, Double)	Constructs a new non-uniform scaling transformation with a specified scaling anchor point.
	Shear	Constructs a Shear transformation.
	ToFloatArray	Return the matrix as a linear array of 16 float values
	ToString	Returns a string representation of this transform. (Overrides ValueTypeToString.)
	TransformBoundingBox	Computes a new boundingbox that is the smallest axis aligned boundingbox that contains the transformed result of its 8 original corner points.
	TransformList	Given a list, an array or any enumerable set of points, computes a new array of tranformed points.
	Translation(Vector3d)	Constructs a new translation (move) transformation.
	Translation(Double, Double, Double)	Constructs a new translation (move) tranformation. Right column is (dx, dy, dz, 1.0).
	Transpose	Flip row/column values
	TryGetInverse	Attempts to get the inverse transform of this transform.

	Name	Description
	Equality	Determines if two transformations are equal in value.
	Inequality	Determines if two transformations are different in value.
	Multiply(Transform, Point3d)	Multiplies a transformation by a point and gets a new point.
	Multiply(Transform, Transform)	Multiplies (combines) two transformations.
	Multiply(Transform, Vector3d)	Multiplies a transformation by a vector and gets a new vector.

Transform Structure

Rhino for Mac

Rhino for Windows

Reference