Cuboid

class sisl.shape.Cuboid(v, center=None)

A cuboid/rectangular prism (P4)

Parameters:

v : float or (3,) or (3, 3)

vectors describing the cuboid, if only 3 the cuboid will be along the Euclidean vectors.

center : (3,), optional

the center of the cuboid. Defaults to the origo.

Examples

>>> shape = Cuboid([2, 2.2, 2])
>>> shape.within([0, 2.1, 0])
False
>>> shape.within([0, 1.1, 0])
True

Attributes

center	The geometric center of the shape
edge_length	The lengths of each of the vector that defines the cuboid
origo	Return the origin of the Cuboid (lower-left corner)

Methods

__init__(v[, center])	Initialize self.
copy()
expand(length)	Expand the cuboid by a constant value along side vectors
scale(scale)	Scale the cuboid box size (center is retained)
set_center(center)	Re-setting the center can sometimes be necessary
set_origo(origo)	Re-setting the origo can sometimes be necessary
toCuboid()	Return a copy of itself
toEllipsoid()	Return an ellipsoid that encompass this cuboid
toSphere()	Return a sphere that encompass this cuboid
volume()	Return volume of Cuboid
within(other)	Return True if other is fully within self
within_index(other)	Return indices of the other object which are contained in the shape

center

The geometric center of the shape

copy()

edge_length

The lengths of each of the vector that defines the cuboid

expand(length)

Expand the cuboid by a constant value along side vectors

Parameters:

length : float or (3,)

the extension in Ang per cuboid vector.

origo

Return the origin of the Cuboid (lower-left corner)

scale(scale)

Scale the cuboid box size (center is retained)

Parameters:

scale : float or (3,)

the scale parameter for each of the vectors defining the Cuboid

set_center(center)

Re-setting the center can sometimes be necessary

set_origo(origo)

Re-setting the origo can sometimes be necessary

toCuboid()

Return a copy of itself

toEllipsoid()

Return an ellipsoid that encompass this cuboid

toSphere()

Return a sphere that encompass this cuboid

volume()

Return volume of Cuboid

within(other)

Return True if other is fully within self

If other is an array, an array will be returned for each of these.

Parameters:

other : array_like

the array/object that is checked for containment

within_index(other)

Return indices of the other object which are contained in the shape

Parameters:

other : array_like

the object that is checked for containment