Definition

1. The <Location 3D> components of a <Separating Plane> shall specify a plane.
2. For any < Separating Plane Related Geometry> instance S,

   2.1	No two < Separating Plane Relations> components of S shall specify coplanar < Separating Plane> instances.
   2.2	For each component < Separating Plane Relations> R of S,
   	2.2.1 Every primitive within each branch of R shall have a spatial extent overlapping that of the half-space specified by the branch. 2.2.2 If S's strict_organizing_principle = SE_TRUE, every primitive within each branch of R shall have a spatial extent fully contained within the half-space specified by the <Separating Plane Data> corresponding to the branch. If S's strict_organizing_principle = SE_FALSE, then no guarantees exist as to how accurately the objects of the component tree rooted at S were placed into their sorted 'bins', apart from that specified by 2.2.1

Rationale

A <Separating Plane> exists to specify a plane.

The purpose of a < Separating Plane Related Geometry> is to organize geometry instances based on their relationships with the specified set of < Separating Plane> instances. For this purpose to be fulfilled, each primitive shall at least overlap the half-space 'bin' into which it is placed by the organization, and if the organizing principle is strictly followed, it shall be entirely contained within that 'bin'.

Example

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