What about Gabriel's Horn or the Koch Snowflake curve?
They may also contradict intuition but the results are not dependent upon
the axiom of choice.

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On Wed, May 30, 2012 at 9:17 AM, meekerdb <meeke...@verizon.net> wrote:
> On 5/30/2012 1:45 AM, Bruno Marchal wrote:
>
> Banach and Tarski proved an amazing theorem with the axiom of choice, but
> it is not a paradox, in the sense that it contradicts nothing, and you
> can't get anything from it.
>
> Bruno
>
>
> It contradicts intuition.
>
> Brent
>
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