User Manual 4.0 Infinite rectangle cone

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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 :

Pyramid6.png

Implementation

The InfiniteRectangleCylinder object in the SIRIUS library implements the 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.