The IfcSphericalSurface is a bounded elementary surface. The inherited *Position* attribute defines the
*IfcAxisPlacement3D* and provides:

*SELF\IfcElementarySurface.Position*: The location and orientation of the axis system for the primitive.*SELF\IfcElementarySurface.Position.Location*: The center of the spherical surface.*SELF\IfcElementarySurface.Position.Position[3]:*The z axis points at its positve direction towards the north pole, and by its negative directions towards the south pole.

NOTE Definition according to ISO/CD 10303-42:1992

An IfcSphericalSurface is a type of an elementary surface, which is at a constant distance (the

radius) from a central point. A spherical surface is defined by the radius and the location and orientation of the surface.The data is to be interpreted as follows:

C = Position.Location

x = Position.P[1]

y = Position.P[2]

z = Position.P[3] (axis of spherical surface)

R= Radiusand the surface is parametrised as

=σ(u,v)C+ R cosv((cosu)x+ (sinu)y) + R(sinv)zwhere the parametrisation range is

0 ≤ u ≤ 360degrees and-90 ≤ v ≤ 90degrees.uandvare angular parameters and when numerical values are specified they shall use the current units for plane angle measure.In the placement coordinate system defined above, the surface is represented by the equation

S= 0, whereS(x, y, z) = x^{2}+ y^{2}+ z^{2}- R^{2}.The positive direction of the normal to the surface at any point on the surface is given by

(S_{x}, S_{y}, S_{z}).The unit normal is given by

N(u,v)= cosv((cosu)x+ (sinu)y) + (sinv)z,

NOTE Entity adapted fromspherical_surfacedefined in ISO 10303-42.

HISTORY New entity in IFC4 Addendum 2.

# | Attribute | Type | Cardinality | Description | G |
---|---|---|---|---|---|

2 | Radius | IfcPositiveLengthMeasure | The radius of the sphere. | X |

# | Attribute | Type | Cardinality | Description | G |
---|---|---|---|---|---|

IfcRepresentationItem | |||||

LayerAssignment | IfcPresentationLayerAssignment @AssignedItems | S[0:1] | Assignment of the representation item to a single or multiple layer(s). The LayerAssignments can override a LayerAssignments of the IfcRepresentation it is used within the list of Items.
IFC2x3 CHANGE The inverse attribute IFC4 CHANGE The inverse attribute | X | |

StyledByItem | IfcStyledItem @Item | S[0:1] | Reference to the IfcStyledItem that provides presentation information to the representation, e.g. a curve style, including colour and thickness to a geometric curve.
IFC2x3 CHANGE The inverse attribute | X | |

IfcGeometricRepresentationItem | |||||

IfcSurface | |||||

Dim :=3 | IfcDimensionCount | The space dimensionality of IfcSurface. It is always a three-dimensional geometric representation item.
IFC4 CHANGE Derived attribute promoted from subtypes. |
X | ||

IfcElementarySurface | |||||

1 | Position | IfcAxis2Placement3D | The position and orientation of the surface. This attribute is used in the definition of the parameterization of the surface. | X | |

IfcSphericalSurface | |||||

2 | Radius | IfcPositiveLengthMeasure | The radius of the sphere. | X |

` <xs:element name="IfcSphericalSurface" type="ifc:IfcSphericalSurface" substitutionGroup="ifc:IfcElementarySurface" nillable="true"/>`

<xs:complexType name="IfcSphericalSurface">

<xs:complexContent>

<xs:extension base="ifc:IfcElementarySurface">

<xs:attribute name="Radius" type="ifc:IfcPositiveLengthMeasure" use="optional"/>

</xs:extension>

</xs:complexContent>

</xs:complexType>

```
ENTITY IfcSphericalSurface
```

SUBTYPE OF (IfcElementarySurface)**;**

Radius : IfcPositiveLengthMeasure;

END_ENTITY;