Kante  Topologie  
Edge  
Arête 
An IfcEdge defines two vertices being connected topologically. The geometric representation of the connection between the two vertices defaults to a straight line if no curve geometry is assigned using the subtype IfcEdgeCurve. The IfcEdge can therefore be used to exchange straight edges without an associated geometry provided by IfcLine or IfcPolyline thought IfcEdgeCurve.EdgeGeometry.
EXAMPLE Figure 458 illustrates an example where the bounds of the IfcEdge are given by the EdgeStart and EdgeEnd; this also determines the direction of the edge. The location within a coordinate space is determined by the IfcVertexPoint type for EdgeStart and EdgeEnd. Since no edge geometry is assigned, it defaults to a straight line agreeing to the direction sense. 

Figure 458 — Edge representation 
NOTE Definition according to ISO/CD 1030342:1992
An edge is the topological construct corresponding to the connection of two vertices. More abstractly, it may stand for a logical relationship between two vertices. The domain of an edge, if present, is a finite, nonselfintersecting open curve in R^{M}, that is, a connected 1dimensional manifold. The bounds of an edge are two vertices, which need not be distinct. The edge is oriented by choosing its traversal direction to run from the first to the second vertex. If the two vertices are the same, the edge is a self loop. The domain of the edge does not include its bounds, and 0 ≤ Ξ ≤ ∞. Associated with an edge may be a geometric curve to locate the edge in a coordinate space; this is represented by the edge curve subtype. The curve shall be finite and nonselfintersecting within the domain of the edge. An edge is a graph, so its multiplicity M and graph genus G^{e} may be determined by the graph traversal algorithm. Since M = E = 1, the Euler equation (1) reduces in the case to: where V = 1 or 2, and G^{e} = 1 or 0. Specifically, the topological edge defining data shall satisfy:
 an edge has two vertices
 the vertices need not be distinct
 Equation shall hold
NOTE Entity adapted from edge defined in ISO 1030342.
HISTORY New entity in IFC2.0
Informal Propositions:
#  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 LayerAssignments has been added. IFC4 CHANGE The inverse attribute LayerAssignment has been restricted to max 1. Upward compatibility for file based exchange is guaranteed.  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 StyledByItem has been added.  X  
IfcTopologicalRepresentationItem  
IfcEdge  
1  EdgeStart  IfcVertex  Start point (vertex) of the edge.  X  
2  EdgeEnd  IfcVertex  End point (vertex) of the edge. The same vertex can be used for both EdgeStart and EdgeEnd.  X 
<xs:element name="IfcEdge" type="ifc:IfcEdge" substitutionGroup="ifc:IfcTopologicalRepresentationItem" nillable="true"/>
<xs:complexType name="IfcEdge">
<xs:complexContent>
<xs:extension base="ifc:IfcTopologicalRepresentationItem">
<xs:sequence>
<xs:element name="EdgeStart" type="ifc:IfcVertex" nillable="true" minOccurs="0"/>
<xs:element name="EdgeEnd" type="ifc:IfcVertex" nillable="true" minOccurs="0"/>
</xs:sequence>
</xs:extension>
</xs:complexContent>
</xs:complexType>
ENTITY IfcEdge
SUPERTYPE OF(ONEOF(IfcEdgeCurve, IfcOrientedEdge, IfcSubedge))
SUBTYPE OF (IfcTopologicalRepresentationItem);
EdgeStart : IfcVertex;
EdgeEnd : IfcVertex;
END_ENTITY;
References: IfcOrientedEdge IfcSubedge