Re: I Think I Just Broke a Glass into an Infinite Number of Pieces

mimus wrote:
> On Mon, 19 May 2008 09:54:14 +0100, Frederick Williams wrote:
> 
>>mimus wrote:
>>
>>>At least, I swept up at least twice as much glass as could possibly
have
>>>been in the original.
>>>
>>>And that's only possible if you do an infinite decomposition of the
>>>object, as exemplified by the Tarski-Banach ball.
>>
>>Not infinite, five pieces suffice.  At least it's five in three
>>dimensional space, in one or two dimensions one needs aleph_0 many
>>pieces.
> 
> I haven't seen or even heard of any-a these five-piece multiplicative
> reassemblies in 3-space, so I'm getting whiffs of weasel from somewhere.
> 
Think square ball.

-- 
nuts