>>> min_extent(Object)+.5*(max_extent(Object)-minExtent(Object))
>>
>> Or 0.5*(min + max) if you're a fan of distributive law ;)
> 
> It seems it's too long since I've done proper algebra. Your solution 
> makes perfect sense, yet can't seem to get from my solution to yours 
> algebraically.

an algebraic mystification that is easily resolved ;)

   1.0 * min + 0.5 * (max - min)
= 1.0 * min + 0.5 * max - 0.5 * min
= 0.5 * min + 0.5 * max
= 0.5 * (min + max)

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