Sphere

class compas.geometry.Sphere

Bases: Shape

A sphere is defined by a point and a radius.

Parameters:

radius: float

The radius of the sphere.

frame: :class:`compas.geometry.Frame`, optional

The local coordinates system, or “frame”, of the sphere. Default is None, in which case the sphere is constructed in world coordinates.

point: :class:`compas.geometry.Point`, optional

The center of the sphere. When provided, this point overwrites the location of the origin of the local coordinate system.

namestr, optional

The name of the shape.

Attributes:

areafloat, read-only

The surface area of the sphere.

axiscompas.geometry.Line, read-only

The central axis of the sphere.

basecompas.geometry.Point, read-only

The base point of the sphere. The base point is at the origin of the local coordinate system.

circlecompas.geometry.Circle, read-only

The base circle of the sphere. The center of the circle is at the origin of the local coordinate system.

diameterfloat, read-only

The diameter of the sphere.

framecompas.geometry.Frame

The coordinate system of the sphere.

planecompas.geometry.Plane, read-only

The plane of the sphere. The base point of the plane is at the origin of the local coordinate system. The normal of the plane is in the direction of the z-axis of the local coordinate system.

radiusfloat

The radius of the sphere.

transformationcompas.geometry.Transformation

The transformation of the sphere to global coordinates.

volumefloat, read-only

The volume of the sphere.

Examples

>>> from compas.geometry import Frame
>>> from compas.geometry import Sphere
>>> sphere1 = Sphere(frame=Frame.worldXY(), radius=5)
>>> sphere1 = Sphere(radius=5)

Methods

compute_faces	Compute the faces of the discrete representation of the sphere.
compute_vertices	Compute the vertices of the discrete representation of the sphere.
contains_point	Verify if a point is inside the sphere.
contains_points	Verify if a list of points are inside the sphere.
from_point_and_radius	Construct a sphere from a point and a radius.
scale	Scale the sphere.
to_brep	Returns a BRep representation of the sphere.

Inherited Methods

ToString	Converts the instance to a string.
compute_aabb	Compute the axis-aligned bounding box of the geometry.
compute_edges	Compute the edges of the discrete representation of the shape.
compute_obb	Compute the oriented bounding box of the geometry.
compute_triangles	Compute the triangles of the discrete representation of the shape.
copy	Make an independent copy of the data object.
from_json	Construct an object of this type from a JSON file.
from_jsonstring	Construct an object of this type from a JSON string.
rotate	Rotate the shape.
rotated	Returns a rotated copy of this geometry.
scaled	Returns a scaled copy of this geometry.
sha256	Compute a hash of the data for comparison during version control using the sha256 algorithm.
to_json	Convert an object to its native data representation and save it to a JSON file.
to_jsonstring	Convert an object to its native data representation and save it to a JSON string.
to_mesh	Returns a mesh representation of the box.
to_polyhedron	Convert the shape to a polyhedron.
to_vertices_and_faces	Convert the shape to a list of vertices and faces.
transform	Transform the shape.
transformed	Returns a transformed copy of this geometry.
translate	Translate the shape.
translated	Returns a translated copy of this geometry.
validate_data	Validate the data against the object's data schema.