Re: are Real Numbers evil? The answer(?).

Claudio Grondi wrote:

- applying any sequence of translations
and rotations doesn't change the
geometrical shape of the set
of the elements if compared to some
initial or intermediate shape if the
geometrical orientation of the set
is the same as the orientation
at the initial or intermediate state.


What you are asking for is impossible. You want a discrete representation of space. That means when you perform operations at a granularity smaller than the discrete quantum, you will have aliasing. Sorry, you cannot have your cake and eat it too. All you can do, is reason about what level of error is acceptable to you.

Saying that you're going to accept only a finite number of transformations or rotations is just an accounting trick on your part. Someone out there is going to want to transform their model by an amount smaller than your available transformations or rotations. Then you will have aliasing and error yet again.

Finite is finite. Worry about acceptably approximating the infinite. I know this is comp.theory, and I'm sure theorists abound, but all evidence to date is you're worried far too much about theory and not enough about real applications.

--
Cheers,                     www.indiegamedesign.com
Brandon Van Every           Seattle, WA

20% of the world is real.
80% is gobbledygook we make up inside our own heads.
.

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