M

ConicalSurface.Create

Description:
Creates a conical surface defined by a local reference frame and a half angle.

Remarks:
The parametric equation of the cone is S(u, v) = Frame.Origin + v*[sin(halfAngle)(cos(u)*Frame.BasisX + sin(u)*Frame.BasisY) + cos(halfAngle)*Frame.BasisZ] This implies the following facts:

Frame.BasisX points from the axis point to the point on the cylinder with coordinates (0, 0).
Frame.BasisY points in the direction of the partial derivative dS/du at (0, 0).
Frame.BasisZ points in the direction of the partial derivative dS/dv at (0, 0).

Only the branch of the cone with v >= 0 should be used.

public static ConicalSurface Create(
	Frame frameOfReference,
	double halfAngle
)

Public Shared Function Create ( 
	frameOfReference As Frame,
	halfAngle As Double
) As ConicalSurface

public:
static ConicalSurface^ Create(
	Frame^ frameOfReference, 
	double halfAngle
)

static member Create : 
        frameOfReference : Frame * 
        halfAngle : float -> ConicalSurface

Frame

frameOfReference
frameOfReference is an orthonormal frame that defines a local coordinate system for the cone.
- Frame.Origin is a point on the cylinder's axis.
- Frame.BasisZ points along the axis, while Frame.BasisX and Frame.BasisY are orthogonal to the axis.
- The frame may be either left-handed or right-handed (see Frame.IsRightHanded). Note that the "handedness" of the frame does not, by itself, determine the surface's orientation.
Double

halfAngle

Cone angle. Must be not 0, lesser than PI/2 and greater than -PI/2.

Return Value ConicalSurface The created ConicalSurface.

ArgumentException

This Frame object may not be used as a local frame of reference. -or- The supplied value must be not 0, lesser than PI/2 and greater than -PI/2.
ArgumentNullException

A non-optional argument was null