Hmm...

You also said,

The halves example lost me until I looked really hard and I knew what
you were trying to show; the information in the green bottom was
especially hieroglyphic to me. I wonder if a 2 stage development might
work better here, where 2 becomes 4r2 and then 3r2+4r2 becomes 7r2? I
just don't have any good ideas for visualizing adding halves, though,
and hope others have ideas.

but in fact, the whole circles do become halves in the original animation just 
before they move across. The 'in place' transition from 2 to 4r2 doesn't seem 
to have been enough to attract attention, which was why I was suggesting 
movement either by rotation or a slight split to show the 4 halves more 
clearly. I guess the issue is that the 4 halves appear over top of the 2 wholes 
before they move. It sounds as if you would like them to appear somewhere else, 
but I don't see how that can be done without making it appear that 4r2 is being 
added to 2.

Thanks for clarifying your perception between objects moving and objects 
appearing, that is a line I often blur and a distinction that could be useful.

Cheers, bob

On -Mar27-2010, at -Mar27-20108:40 AM, Brian Schott wrote:

> For me, movement means things sliding around, not more things
> appearing in different locations with the existing things remaining in
> place, so another stage for halves is not adding movement.

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