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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Tue, 3 Dec 2024 07:24:21 +0100
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Am 03.12.2024 um 07:17 schrieb Chris M. Thomasson:

>>>
>>>              0
>>>             / \
>>>            /   \
>>>           /     \
>>>          /       \
>>>         1         2
>>>        / \       / \
>>>       /   \     /   \
>>>      3     4   5     6
>>>   .........................

Though we may take 1 for the root too. This way we would get (using 
binary representation):

 >>>              1
 >>>             / \
 >>>            /   \
 >>>           /     \
 >>>          /       \
 >>>        10        11
 >>>        / \       / \
 >>>       /   \     /   \
 >>>     100   101 110   111
 >>>   .........................

I guess you get the pattern. :-P