Measuring Fractal Dimension ?

[Lawrence D'Oliveiro]

In message <7x63ew3uo9.fsf at ruckus.brouhaha.com>,  wrote:

> Lawrence D'Oliveiro <ldo at geek-central.gen.new_zealand> writes:
>
>> I don't think any countable set, even a countably-infinite set, can have
>> a fractal dimension. It's got to be uncountably infinite, and therefore
>> uncomputable.
> 
> I think the idea is you assume uniform continuity of the set (as
> expressed by a parametrized curve).  That should let you approximate
> the fractal dimension.

Fractals are, by definition, not uniform in that sense.