Torus

class compas.geometry.Torus

Bases: Shape

A torus is defined by a plane and two radii.

Parameters:

radius_axis: float, optional

The radius of the axis.

radius_pipe: float, optional

The radius of the pipe.

framecompas.geometry.Frame, optional

The local coordinate system of the torus. Default is None, in which case the torus is constructed in the world XY plane.

namestr, optional

The name of the shape.

Attributes:

framecompas.geometry.Frame

The coordinate system of the torus.

transformationcompas.geometry.Transformation

The transformation of the sphere to global coordinates.

radius_axisfloat

The radius of the axis.

radius_pipefloat

The radius of the pipe.

axiscompas.geometry.Line, read-only

The central axis of the torus.

basecompas.geometry.Point, read-only

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

planecompas.geometry.Plane, read-only

The plane of the torus. 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.

circlecompas.geometry.Circle, read-only

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

areafloat, read-only

The surface area of the torus.

volumefloat, read-only

The volume of the torus.

Examples

>>> from compas.geometry import Frame
>>> from compas.geometry import Torus
>>> torus = Torus(frame=Frame.worldXY(), radius_axis=5.0, radius_pipe=2.0)
>>> torus = Torus(radius_axis=5.0, radius_pipe=2.0)

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.
from_plane_and_radii	Construct a torus from a plane and two radii.
to_brep	Returns a BRep representation of the torus.
transform	Transform the torus.

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.
contains_point	Verify if a point is inside the shape.
contains_points	Verify if a list of points are inside 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.
scale	Scale the shape.
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.
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.