Structural representation and facilitation of manipulation thereof via implicit vertex relationships

A system comprising:

• a processor;
• an interface coupled with the processor and configured to receive, a specification for a space having at least one level, each level including a partition defining a subdivision of the space, wherein the partition is defined by a location of at least one vertex relative to an origin, to at least one other vertex, or a combination thereof;
• a first logic, executable by the processor to cause the processor to generate a representation of each partition upon receipt of the specification and store the representation of each partition in a memory;
• a second logic, executable by the processor to cause the processor to relate a location of at least one vertex of the stored representation relative to the location of a vertex for a previously stored representation;
• and
• a third logic, executable by the processor to cause the processor, upon receipt of a modification of the location of the at least one vertex of at least a portion of the stored representation, to modify the vertex of each other related partition as a function of the relationship between the at least one vertex of the at least the same portion of the stored representation and the vertex of each previously stored representation.