.. role:: blue
   :class: blue

Bounding Box in Three-Dimensional Space MbCube
==============================================
.. _MbCube_Bounding_Box_in_Three-Dimensional_Space_:

.. kernel version: 118059

The :blue:`MbCube` class is declared in the *mb_cube.h* file.

The :blue:`MbCube` bounding box describes the extents of an extended object
(a curve, a surface, a solid, or several solids) in three-dimensional space and
is defined by two points **pmin** and **pmax**. The faces
of the bounding box are parallel to the planes of the coordinate system in
which the cube is defined. The points **pmin** and **pmax** describe two
opposite vertices of the bounding box that have the smallest and
the largest coordinates, respectively:

.. figure:: /MODELER/ELEMENTARY_OBJECTS/pictures/O.1.6.1.png
   :width: 10cm
   :align: center

If the extents of an extended object are not defined, then the bounding
box is considered empty and
**pmin** = \[10\ :sup:`-300` 10\ :sup:`-300`
10\ :sup:`-300`\], **pmax** = \[−10\ :sup:`-300`
−10\ :sup:`-300` −10\ :sup:`-300`\]. For an empty
bounding box **pmin** > **pmax**, and the :blue:`IsEmpty`\() method returns *true*.