Finally got the WYSIWYG kind of plotting I wanted, using "roll-your-own" packaging of controls instead of a Manipulator pane. Just want to see how things can be done with the most flexibility, e.g. switching to shared globals and using separate windows simultaneously when one doesn't have too much screen space.
I just wish that ParametricPlot would automatically accept column- or row-vectors, instead of having to use the less-readable and less-intuitive list-format, or a kludgy-looking conversion rule. I have to use the rule right on the column-vector, instead of at the end of the call to ParametricPlot the way I'd like to.
At any rate, I'm really glad that with just a little tweaking, I can use traditional matrices and vectors without any problems. The user can just directly enter in any combination of transformations, adding more sliders if needed, and immediately see the result.
One other important thing: You have to put an initial value in for the angle value somewhere in your code. Am I missing something, or is there a way to do that in the Slider[ ] call itself?
Attachments: