In article <9A0023F6C8A24076831CCE1362BCC50F@charlie>, "David M Fisher" <sunfish8@verizon.net> writes:
As I understand what you are saying is that the orbits all remain on the x/y plane.
For iterated functions on the complex plane, yes.
There is no escape either out or in, but only up/down or right/left?
Correct.
I understand it is called a plane equation but is this due to it's characteristics or only because that is the manner in which it parsed.
Its due to its characteristics.
In other words, could there be <volume> that isn't represented, and therefore not displayed?
Some formulas are slices of higher dimensional quantities. For these formulas, you are viewing a slice of a larger volume. That volume may be 3D, or higher dimensionality.
And if there is how would you go about rotating the plane to see another angle?
For the formula types I mention above, the slices are picked by the use of parameters to the formula. Quaternions are 4-dimensional quantities that are analogous to the 2-dimensional complex number. Iterating formulas of quaternions yields fractals that are 4D shapes divided into regions of stable and unstable (diverging) orbits. There are ways to slice these as 3D volumes which are then projected into the 2D image plane of the rendering. -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://legalizeadulthood.wordpress.com/the-direct3d-graphics-pipeline/> Legalize Adulthood! <http://legalizeadulthood.wordpress.com>