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...of a point is given by its $$x$$, $$y$$, and $$z$$ coordinates, and the [[weight]] of a point is given by its $$w$$ coordinate. A point is [[unitized]] when ...with zero weight can also be interpreted as a direction vector, and it is normalized to unit length by dividing by its [[bulk norm]]. ...

The [[bulk]] of a plane is given by its $$w$$ coordinate, and the [[weight]] of a plane is given by its $$x$$, $$y$$, and $$z$$ coordinates. A plane i ...zero), then the plane lies at infinity in all directions. Such a plane is normalized when $$g_w = \pm 1$$. This is the ''horizon'' of three-dimensional space. ...

...agnitude of an element. It has two components called the bulk norm and the weight norm. An element that has a bulk norm of '''1''' is said to be ''bulk normalized''. ...

...[[bulk]] of a point is given by its $$x$$ and $$y$$ coordinates, and the [[weight]] of a point is given by its $$z$$ coordinate. A point is [[unitized]] when ...with zero weight can also be interpreted as a direction vector, and it is normalized to unit length by dividing by its [[bulk norm]]. ...

...f a line is given by its $$mx$$, $$my$$, and $$mz$$ coordinates, and the [[weight]] of a line is given by its $$vx$$, $$vy$$, and $$vz$$ coordinates. A line ...ector, as shown in Figure 2. Such a line cannot be unitized, but it can be normalized by dividing by its [[bulk norm]]. ...

=== Bulk and Weight === ...m ''[[unitization]]'' to refer to the projection operation that causes the weight of any object to have magnitude one. ...