# Box

class compas.geometry.Box(frame, xsize, ysize, zsize, **kwargs)[source]

Bases: Shape

A box is defined by a frame and its dimensions along the frame’s x-, y- and z-axes.

The center of the box is positioned at the origin of the coordinate system defined by the frame. The box is axis-aligned to the frame.

A box is a three-dimensional geometric shape with 8 vertices, 12 edges and 6 faces. The edges of a box meet at its vertices at 90 degree angles. The faces of a box are planar. Faces which do not share an edge are parallel.

Parameters
• frame (compas.geometry.Frame) – The frame of the box.

• xsize (float) – The size of the box in the box frame’s x direction.

• ysize (float) – The size of the box in the box frame’s y direction.

• zsize (float) – The size of the box in the box frame’s z direction.

Attributes
• frame (compas.geometry.Frame) – The box’s frame.

• xsize (float) – The size of the box in the box frame’s x direction.

• ysize (float) – The size of the box in the box frame’s y direction.

• ysize (float) – The size of the box in the box frame’s z direction.

• xmin (float, read-only) – Minimum value along local X axis.

• xmax (float, read-only) – Maximum value along local X axis.

• ymin (float, read-only) – Minimum value along local Y axis.

• ymax (float, read-only) – Maximum value along local Y axis.

• zmin (float, read-only) – Minimum value along local Z axis.

• zmax (float, read-only) – Maximum value along local Z axis.

• width (float, read-only) – The width of the box in X direction.

• depth (float, read-only) – The depth of the box in Y direction.

• height (float, read-only) – The height of the box in Z direction.

• diagonal (compas.geometry.Line, read-only) – Diagonal of the box.

• dimensions (list[float], read-only) – The dimensions of the box in the local frame.

• area (float, read-only) – The surface area of the box.

• volume (float, read-only) – The volume of the box.

• points (list[compas.geometry.Point], read-only) – The XYZ coordinates of the corners of the box.

• vertices (list[compas.geometry.Point], read-only) – The XYZ coordinates of the vertices of the box.

• faces (list[list[int]], read-only) – The faces of the box defined as lists of vertex indices.

• bottom (list[int], read-only) – The vertex indices of the bottom face.

• front (list[int], read-only) – The vertex indices of the front face.

• right (list[int], read-only) – The vertex indices of the right face.

• back (list[int], read-only) – The vertex indices of the back face.

• left (list[int], read-only) – The vertex indices of the left face.

• top (list[int], read-only) – The vertex indices of the top face.

• edges (list[tuple[int, int]], read-only) – The edges of the box as vertex index pairs.

Examples

>>> box = Box(Frame.worldXY(), 1.0, 2.0, 3.0)


Methods

 contains Verify if the box contains a given point. from_bounding_box Construct a box from the result of a bounding box calculation. from_corner_corner_height Construct a box from the opposite corners of its base and its height. from_data Construct a box from its data representation. from_diagonal Construct a box from its main diagonal. from_width_height_depth Construct a box from its width, height and depth. to_vertices_and_faces Returns a list of vertices and faces. transform Transform the box.

Inherited Methods

 copy Make an independent copy of the data object. from_json Construct an object from serialized data contained in a JSON file. from_jsonstring Construct an object from serialized data contained in a JSON string. to_data Convert an object to its native data representation. to_json Serialize the data representation of an object to a JSON file. to_jsonstring Serialize the data representation of an object to a JSON string. transformed Returns a transformed copy of this geometry. validate_data Validate the object's data against its data schema. validate_json Validate the object's data against its json schema.