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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Fri, 15 Nov 2024 12:43:47 +0100
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On 15.11.2024 12:31, joes wrote:
> Am Fri, 15 Nov 2024 11:04:33 +0100 schrieb WM:
> 
>> It can be proven for every finite geometric figure that covering it by
>> small pieces or intervals does not depend on the individuality and
>> therefore on the order of the pieces.
>> That means if there is a configuration where the figure is not covered
>> completely, every possible shuffling will also fail.
> Duh. If some configuration doesn't cover it, shuffling the pieces changes
> nothing. But there may be other configurations that do cover the figure.

All configurations possible by the initial set of pieces can be obtained 
by shifting them.

Regards, WM