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Re: Conquer the Binary Tree

From Moebius <invalid@example.invalid>
Newsgroups sci.math
Subject Re: Conquer the Binary Tree
Date 2025-08-11 22:24 +0200
Organization A noiseless patient Spider
Message-ID <107djis$2pqql$1@dont-email.me> (permalink)
References (12 earlier) <106tnuk$2v2sr$3@dont-email.me> <106vim1$6tc$1@news.muc.de> <95dd0ab5-6c24-41bf-b677-31aefa969cbc@tha.de> <10701l6$19ml$1@news.muc.de> <107d0mp$2iue3$5@dont-email.me>

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Am 11.08.2025 um 17:02 schrieb Moebius:
> Am 06.08.2025 um 18:59 schrieb Alan Mackenzie:
>> WM <wolfgang.mueckenheim@tha.de> wrote:
>>> On 06.08.2025 14:43, Alan Mackenzie wrote:
>>>> WM <wolfgang.mueckenheim@tha.de> wrote:
>>
>>>> In the current scenario, O's don't get deleted.  They just move away to
>>>> an unbounded distance.
>>
>>> Which however is always finite.  ....
>>
>> Yes.
>>
>>> .... So the O's remain in the matrix.
>>
>> Yes.  For any number of steps.  But NOT in the limit.
>>
>> Using an analogous, but simpler example, consider the sequence of real
>> numbers in decimal:
>>
>> 1.1, 1.01, 1.001, 1.0001, ......
>>
>> Every element of that sequence has two non-zero digits.
>>
>> The limit of the sequence (I hope you can agree to this) is 1.  This
>> limit has only one non-zero digit.
>>
>> At no element of the sequence does the second 1 get "deleted".  That 1
>> "remains in the number".  But in the limit, it has gone.
>>
>> This is essentially the same thing which is happening to your X's and
>> O's.
> 
> You might as well consider the sequence:
> 
> 1.10101010..., 1.01101010..., 1.00111010..., 1.00011110..., ......
> 
> Every element of that sequence has infinitely many non-zero digits.
> 
> The limit of the sequence is 1. This limit has only one non-zero digit.

You might as well consider the sequence:

0.10101010..., 0.01101010..., 0.00111010..., 0.00011110..., ......

Every element of that sequence has infinitely many non-zero digits.

The limit of the sequence is 0. This limit has no non-zero digit.

A wonder!

Where did the 1s go to?!

.
.
.

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Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-30 19:29 +0200
  Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-07-30 19:09 +0000
    Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-07-30 14:03 -0700
      Re: Conquer the Binary Tree FromTheRafters <FTR@nomail.afraid.org> - 2025-07-30 17:17 -0400
        Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 16:04 +0200
      Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 17:34 +0200
        Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-07-31 15:53 +0000
          Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 18:56 +0200
          Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-01 18:23 +0200
            Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-01 19:44 +0000
              Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 12:40 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 11:15 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 11:33 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 14:54 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 12:59 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 13:03 +0000
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-02 12:51 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 22:46 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-02 20:20 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-02 20:39 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-03 12:55 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-03 13:04 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 12:37 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-04 12:22 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 21:29 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-04 12:41 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 21:44 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-04 12:52 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 22:34 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-05 15:44 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-03 13:06 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 12:39 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-04 14:29 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 16:45 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-04 20:19 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 22:37 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-05 08:22 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-05 12:10 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-04 20:36 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 22:45 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-05 08:28 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-05 12:16 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-05 21:41 +0000
                Re: Conquer the Binary Tree FromTheRafters <FTR@nomail.afraid.org> - 2025-08-05 18:41 -0400
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-05 16:23 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 19:16 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-05 15:39 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-05 15:48 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-05 14:13 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-05 16:30 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-05 17:09 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-05 17:37 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-05 19:56 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-05 19:21 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-05 22:01 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-05 21:33 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 12:10 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 19:11 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:17 -0700
                Re: Conquer the Binary Tree FromTheRafters <FTR@nomail.afraid.org> - 2025-08-06 19:25 -0400
                Re: Conquer the Binary Tree FromTheRafters <FTR@nomail.afraid.org> - 2025-08-06 19:29 -0400
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:42 -0700
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-06 12:43 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 16:56 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-06 16:59 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 19:34 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-06 20:12 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-07 19:06 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-07 21:20 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-08 20:39 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:23 -0700
                Re: Conquer the Binary Tree Ben Bacarisse <ben@bsb.me.uk> - 2025-08-10 23:31 +0100
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 01:38 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 02:02 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 16:25 +0200
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-10 21:37 -0700
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-10 21:50 -0700
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-11 12:28 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 16:05 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 15:56 +0200
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-12 19:40 -0700
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 17:02 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 22:24 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 22:57 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 00:27 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 15:20 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 15:10 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-12 13:16 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 16:24 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-12 15:27 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 17:59 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-12 15:30 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 19:03 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-06 17:46 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-06 18:00 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 22:35 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:38 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-07 17:37 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-07 18:20 +0000
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-07 12:48 -0700
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-07 22:03 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-07 22:43 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-07 21:01 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-08 14:23 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-08 13:00 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-08 22:41 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-08 20:47 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-08 22:53 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-09 15:15 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-09 15:10 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-08 20:53 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-09 15:26 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-09 13:37 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-09 18:32 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-09 11:10 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-08 14:32 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-09 15:13 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-09 11:08 -0700
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-09 11:13 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-15 22:21 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-07 22:32 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-07 13:47 -0700
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-08 00:50 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-07 16:53 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-08 00:25 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-09 11:11 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-10 15:08 +0200
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-10 07:51 -0700
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-10 08:08 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-10 12:56 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 15:44 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-11 12:37 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 16:16 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-12 14:04 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 16:40 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 16:41 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-12 15:28 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 17:56 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 18:15 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 18:17 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 21:58 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 22:45 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-13 16:53 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 18:11 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-12 17:15 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 22:19 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 22:35 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-13 16:58 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-13 17:01 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-13 15:06 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 00:24 +0200
                Re: Conquer the Binary Tree Hugh Kalambetov <ahuebbl@htlhkm.ru> - 2025-08-14 09:34 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 13:00 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-14 12:33 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 15:01 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-14 13:40 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 16:08 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-14 14:18 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 14:59 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-15 13:59 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 17:21 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 17:29 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 21:30 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-15 13:23 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 18:03 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-15 16:45 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 18:52 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-16 00:10 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-15 22:25 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-16 13:57 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-16 13:55 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-16 14:26 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-15 15:00 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 17:27 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-13 16:48 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-13 16:13 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-13 16:23 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-13 19:10 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 14:38 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-14 12:42 +0000
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-14 15:33 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 15:04 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-15 13:38 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 19:01 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-15 10:04 -0700
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-15 17:36 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-16 13:46 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-16 12:11 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-16 14:29 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-16 14:27 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-16 18:25 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-17 06:06 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-17 12:44 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-16 16:54 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-16 17:01 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-16 18:29 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-17 12:40 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-16 14:24 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 14:24 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-14 15:42 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 15:37 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-13 17:37 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 14:51 +0200
                Re: Conquer the Binary Tree FromTheRafters <FTR@nomail.afraid.org> - 2025-08-14 11:02 -0400
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-14 11:23 -0700
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 00:43 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 00:57 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 14:56 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-14 13:09 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-14 13:12 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 17:54 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 17:57 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 18:06 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 15:55 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 17:43 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 17:56 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 18:03 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 01:10 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 17:55 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-15 16:03 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 18:44 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 18:58 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 23:45 +0200
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-15 20:52 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-15 09:57 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-16 14:08 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-16 13:48 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-12 17:04 -0700
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 16:44 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 17:16 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 17:18 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 17:28 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 17:42 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 01:57 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 01:57 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 18:38 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 22:42 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 15:16 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 22:47 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 02:00 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 02:01 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-07 00:11 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:35 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 22:19 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:38 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:28 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:19 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-05 15:47 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 19:19 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-06 17:31 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-07 00:58 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-07 00:58 +0200
                Ben Bacarisse's "debunking" attempt WM <wolfgang.mueckenheim@tha.de> - 2025-08-18 16:07 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 15:03 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 13:17 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 13:24 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 19:39 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 20:12 +0200
    Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 15:28 +0200
      Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-07-31 13:35 +0000
        Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 16:49 +0200
          Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-07-31 14:53 +0000
            Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-07-31 11:52 -0700
              Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 22:55 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-07-31 13:58 -0700
  Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-09 07:11 -0700
    Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-09 14:15 +0000
      Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-09 07:35 -0700

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