`Sphere`#

class ansys.geometry.core.shapes.surfaces.sphere.Sphere(origin: numpy.ndarray | ansys.geometry.core.typing.RealSequence | ansys.geometry.core.math.point.Point3D, radius: pint.Quantity | ansys.geometry.core.misc.measurements.Distance | ansys.geometry.core.typing.Real, reference: numpy.ndarray | ansys.geometry.core.typing.RealSequence | ansys.geometry.core.math.vector.UnitVector3D | ansys.geometry.core.math.vector.Vector3D = UNITVECTOR3D_X, axis: numpy.ndarray | ansys.geometry.core.typing.RealSequence | ansys.geometry.core.math.vector.UnitVector3D | ansys.geometry.core.math.vector.Vector3D = UNITVECTOR3D_Z)#

Bases: ansys.geometry.core.shapes.surfaces.surface.Surface

Provides 3D sphere representation.

Parameters:

originndarray | RealSequence | Point3D: Origin of the sphere.
radiusQuantity | Distance | Real: Radius of the sphere.
referencendarray | RealSequence | UnitVector3D | Vector3D: X-axis direction.
axisndarray | RealSequence | UnitVector3D | Vector3D: Z-axis direction.

Overview#

Abstract methods

`contains_param`	Check a parameter is within the parametric range of the surface.
`contains_point`	Check a point is contained by the surface.

Methods

`transformed_copy`	Create a transformed copy of the sphere from a transformation matrix.
`mirrored_copy`	Create a mirrored copy of the sphere along the y-axis.
`evaluate`	Evaluate the sphere at the given parameters.
`project_point`	Project a point onto the sphere and evaluate the sphere.
`parameterization`	Parameterization of the sphere surface as a tuple (U, V).

Properties

`origin`	Origin of the sphere.
`radius`	Radius of the sphere.
`dir_x`	X-direction of the sphere.
`dir_y`	Y-direction of the sphere.
`dir_z`	Z-direction of the sphere.
`surface_area`	Surface area of the sphere.
`volume`	Volume of the sphere.

Special methods

__eq__

Equals operator for the Sphere class.

Import detail#

from ansys.geometry.core.shapes.surfaces.sphere import Sphere

Property detail#

property Sphere.origin: ansys.geometry.core.math.point.Point3D#: Origin of the sphere.

property Sphere.radius: pint.Quantity#: Radius of the sphere.

property Sphere.dir_x: ansys.geometry.core.math.vector.UnitVector3D#: X-direction of the sphere.

property Sphere.dir_y: ansys.geometry.core.math.vector.UnitVector3D#: Y-direction of the sphere.

property Sphere.dir_z: ansys.geometry.core.math.vector.UnitVector3D#: Z-direction of the sphere.

property Sphere.surface_area: pint.Quantity#: Surface area of the sphere.

property Sphere.volume: pint.Quantity#: Volume of the sphere.

Method detail#

Sphere.__eq__(other: Sphere) → bool#: Equals operator for the Sphere class.

Sphere.transformed_copy(matrix: ansys.geometry.core.math.matrix.Matrix44) → Sphere#

Create a transformed copy of the sphere from a transformation matrix.

Parameters:

matrixMatrix44: 4X4 transformation matrix to apply to the sphere.

Returns:

Sphere: New sphere that is the transformed copy of the original sphere.

Sphere.mirrored_copy() → Sphere#

Create a mirrored copy of the sphere along the y-axis.

Returns:

Sphere: New sphere that is a mirrored copy of the original sphere.

Sphere.evaluate(parameter: ansys.geometry.core.shapes.parameterization.ParamUV) → SphereEvaluation#

Evaluate the sphere at the given parameters.

Parameters:

parameterParamUV: Parameters (u,v) to evaluate the sphere at.

Returns:

SphereEvaluation: Resulting evaluation.

Sphere.project_point(point: ansys.geometry.core.math.point.Point3D) → SphereEvaluation#

Project a point onto the sphere and evaluate the sphere.

Parameters:

pointPoint3D: Point to project onto the sphere.

Returns:

SphereEvaluation: Resulting evaluation.

Sphere.parameterization() → tuple[ansys.geometry.core.shapes.parameterization.Parameterization, ansys.geometry.core.shapes.parameterization.Parameterization]#

Parameterization of the sphere surface as a tuple (U, V).

The U parameter specifies the longitude angle, increasing clockwise (east) about dir_z (right-hand corkscrew law). It has a zero parameter at dir_x and a period of 2*pi.

The V parameter specifies the latitude, increasing north, with a zero parameter at the equator and a range of [-pi/2, pi/2].

Returns:

tuple[Parameterization, Parameterization]: Information about how a sphere’s u and v parameters are parameterized, respectively.

abstractmethod Sphere.contains_param(param_uv: ansys.geometry.core.shapes.parameterization.ParamUV) → bool#: Check a parameter is within the parametric range of the surface.

abstractmethod Sphere.contains_point(point: ansys.geometry.core.math.point.Point3D) → bool#

Check a point is contained by the surface.

The point can either lie within the surface or on its boundary.