User Manual 3.3 Parallelepipeds

User Manual 3.3 Parallelepipeds

Definition

The parallelepipeds are rectangles defined in a 3D space by their centre and a local orthogonal frame (U, V, W).

• The normalized U vector defines the "length" direction
• The normalized V vector defines the "width" direction
• The normalized W vector defines the "height" direction

The four corners and faces can be retrieved in the following orders :

Implementation

The Parallelepiped object implements the SolidShape interface. Please refer to the Parallelepiped javadoc for a complete list of public methods.

Instantiation

The parallelepiped object is built from a centre (Vector3D), two vectors (Vector3D) to describe its orientation, and three dimensions :

Vector3D center = new Vector3D(1.0, 1.0, 1.0);
Vector3D uVector = new Vector3D(1.0, 1.0, 0.0);
Vector3D inputvVector = new Vector3D(-5.0, 1.0, 0.0);
Parallelepipedparallelepiped= new Parallelepiped(center, uVector, inputvVector, 4.0, 6.0, 2.0);

The local frame of the plate is build from the two orientation vector :

• U is the first once normalized (uVector)
• V is the vector computed to be orthogonal to U in the plane define by the two given vectors, in the direction of inputvVector.
• W is computed by cross product of U and V

Usage

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