Re: [Algorithms] How to derive transformation matrices

[<ro...@do...>]

I  wrote:

>The point of nomenclature:  What you are calling the "invariant"
>plane, would be called the "fixed plane" by most math authors. Each
>point of the fixed plane is mapped to itself by the transformation, so
>it consists entirely of fixed points of the mapping.   Then each of
>the planes parallel to it would be called "invariant" under the
>transformation, because each is mapped to itself, that is each point
>in such a plane is mapped to another point in the same plane..
>

By way of clarifciation:  The fixed plane of the shear is also an
invariant plane of the shear.  But in standard mathematical
nomenclature, the other non-fixed planes which are mapped to
themselves are called "invariant"