Box

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

Bases: compas.geometry.shapes._shape.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 local coordinate system of the box.

  • xsize (float) – The size of the box in the local X direction.

  • ysize (float) – The size of the box in the local Y direction.

  • zsize (float) – The size of the box in the local Z direction.

  • width (read-only) (float) – Alias for xsize.

  • depth (read-only) (float) – Alias for ysize.

  • height (read-only) (float) – Alias for zsize.

  • diagonal (read-only) (tuple of compas.geometry.Point) – The start and end point of the main diagonal of the box.

  • dimensions (read-only) (list of float) – List of sizes in local coordinate directions.

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

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

  • vertices (read-only) (list of list) – The XYZ coordinates of the corners of the box. With respect to the local Z axis, the vertices of the bottom face are listed first in clockwise direction, starting at the bottom left corner. The vertices of the top face are listed in counterclockwise direction.

  • faces (read-only) (list of list) – The vertices of the faces of the box. The cycle directions of the faces are such that face normals point outwards.

Examples

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

Methods

contains(point)

Verify if the box contains a given point.

copy([cls])

Make an independent copy of the data object.

from_bounding_box(bbox)

Construct a box from the result of a bounding box calculation.

from_corner_corner_height(corner1, corner2, ...)

Construct a box from the opposite corners of its base and its height.

from_data(data)

Construct a box from its data representation.

from_diagonal(diagonal)

Construct a box from its main diagonal.

from_json(filepath)

Construct an object from serialized data contained in a JSON file.

from_jsonstring(string)

Construct an object from serialized data contained in a JSON string.

from_width_height_depth(width, height, depth)

Construct a box from its width, height and depth.

to_data()

Convert an object to its native data representation.

to_json(filepath[, pretty])

Serialize the data representation of an object to a JSON file.

to_jsonstring([pretty])

Serialize the data representation of an object to a JSON string.

to_vertices_and_faces([triangulated])

Returns a list of vertices and faces.

transform(transformation)

Transform the box.

transformed(transformation)

Returns a transformed copy of this geometry.

validate_data()

Validate the object's data against its data schema (self.DATASCHEMA).

validate_json()

Validate the object's data against its json schema (self.JSONSCHEMA).