User Manual 4.0 Infinite rectangle cone

User Manual 4.0 Infinite rectangle cone

Definition

The infinite rectangle cones (infinite pyramids) are defined in a 3D space by their origin, their axis, a local frame (giving the orientation of the rectangle) and the two half angles :

Implementation

The InfiniteRectangleCylinder object in the SIRIUS library implements the [MAT_GEO_InfiniteConeInterface InfiniteCone Interface]. Please refer to the Javadoc for a complete list of public methods.

Instantiation

The object is built from three vectors (Vector3D) and two doubles :

Vector3D originCone = new Vector3D(1.0, 1.0, 1.0);
Vector3D axis = new Vector3D(2.0, 0.0, 0.0);
Vector3D inputVectorU = new Vector3D(0.0, 1.0, 0.0);
double angleU = FastMath.PI / 4.0;
double angleV = FastMath.PI / 4.0;
 
InfiniteRectangleCone cone = new InfiniteRectangleCone(originCone, axis, inputVectorU, angleU, angleV);

The local frame is built such as :

• The axis is the W vector
• U is orthogonal to W and its direction is defined by the 'input U vector"
• V completes the frame

Usage

Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.