Net space (InstanceTopic, 3)

From Hi.gher. Space

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The net space of any object is the number of dimensions required to reference any point in that object. In order to be physically made, the net space and bounding space of the object must be equal. In mathematical models however, we usually consider an object to have a lower net space if some dimensions are neglegible, for example, a Klein bottle has a 2D net space, even though it has a 4D bounding space (in fact, all manifolds have the same net space as the object they were created from).

Net space is often specified as an adjective in the following way:

  • nullframe = the shape has a 0D net space (i.e. consists of vertices only)
  • monoframe = the shape has a 1D net space (i.e. wireframe)
  • diframe = the shape has a 2D net space

etc.