ConicalSurface.Create
Method
Description:
Creates a conical surface defined by a local reference frame and a half angle.
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:
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).
Parameters
Parameter | Type | Description |
---|---|---|
frameOfReference | Frame | frameOfReference is an orthonormal frame that defines a local coordinate system for the cone. <ul><li>Frame.Origin is a point on the cylinder's axis.</li><li>Frame.BasisZ points along the axis, while Frame.BasisX and Frame.BasisY are orthogonal to the axis. </li><li>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.</li></ul> |
halfAngle | Double | Cone angle. Must be not 0, lesser than PI/2 and greater than -PI/2. |
Return Value
Type | Description |
---|---|
ConicalSurface | The created ConicalSurface. |
Exceptions
Exception | Condition |
---|---|
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 |