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Matrix multiplication and division are both examples of non-commutative maths.



I know when I showed mathematicians my model they tended to be less impressed than other philosophical people.
For me it was the nature the shape and form that confirms to me the formula. (not very mathematical I know).

It is the questions on how to best observe this complex shape that I find the most interesting, whether it be the (captured) Shape or the (contoured) Form. To see one obscures the other.

Then to 4D. To observe over time; evolution from beginning to end, or to observe the infinite unique (except i=0 or j=0) parallel models.

Could someone do a rough render of this formula http://www.fractalforums.com/theory/transform-for-r3/

to compare it with this formula http://www.fractalforums.com/theory/choosing-the-squaring-formula-by-location/, please?   

 am curious to see what effect the power polynomials have such as here http://www.fractalforums.com/mandelbulb-renderings/a-degree-42-rational-function/  where i wonder if any computational error has to be considered for its effects on the result.