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Re: Two distances among Four Points

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James Dow Allen <user4353@newsgrouper.org.invalid> posted:

> 
> Mike Terry <news.dead.person.stones@darjeeling.plus.com> posted:
> 
> > On 20/03/2026 17:11, James Dow Allen wrote:
> > > 
> > > Now:  Solve the companion puzzle:
> > > James Dow Allen <user4353@newsgrouper.org.invalid> posted:
> > >> A closely related puzzle is to arrange FIVE distinct points such that
> > >> only two inter-point distances occur.
> > > 
> > > ... and describe the weird/wonderful relationship between this 5-point
> > > companion puzzle and the question I asked earlier:
> > >> Which of the six {4-point, 2-distances} arrangements is hardest to think of?
> > > 
> > 
> > I think this 5-point puzzle is likely to be easier for many people than finding the 6'th solution to 
> > the 4-point puzzle, and might lead them to the 6'th solution indirectly!  (That's amusing when you 
> > think about it...)
> > 
> > Anyway, nice puzzle!
> > 
> > Mike.
> 
> Yes.  The 5-point solution is easier to think of than the 4-point solution.
> 
> Are there other examples where an ostensibly harder puzzle is in practice
> easier to solve than a less general, ostensibly easier-to-solve subset
> of the puzzle?
> 
> Cheers,
> ꧁ ᩎ꧅᭾ ꧂
> 
What is that supposed to be in the middle?   it sort-of reads like GUI


4-point and 5-point problems -- are these old?  Did Euclid know them?

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Two distances among Four Points James Dow Allen <user4353@newsgrouper.org.invalid> - 2026-03-17 19:14 +0000
  Re: Two distances among Four Points Charlie Roberts <croberts@gmail.com> - 2026-03-18 16:36 -0400
    Re: Two distances among Four Points James Dow Allen <user4353@newsgrouper.org.invalid> - 2026-03-20 06:03 +0000
      Re: Two distances among Four Points  Charlie Roberts <croberts@gmail.com> - 2026-03-20 12:50 -0400
    Re: Two distances among Four Points Charlie Roberts <croberts@gmail.com> - 2026-03-20 11:04 -0400
      Re: Two distances among Four Points Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2026-03-20 16:22 +0000
        Re: Two distances among Four Points Phil Carmody <pc+usenet@asdf.org> - 2026-05-19 20:01 +0300
  Re: Two distances among Four Points "Carl G." <carlgnews@microprizes.com> - 2026-03-20 09:58 -0700
    Re: Two distances among Four Points James Dow Allen <user4353@newsgrouper.org.invalid> - 2026-03-20 17:11 +0000
      Re: Two distances among Four Points Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2026-03-21 15:55 +0000
        Re: Two distances among Four Points James Dow Allen <user4353@newsgrouper.org.invalid> - 2026-03-22 07:20 +0000
          Re: Two distances among Four Points HenHanna@NewsGrouper <user4055@newsgrouper.org.invalid> - 2026-03-23 16:16 +0000
            Re: Two distances among Four Points Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2026-03-25 02:40 +0000
              Re: Two distances among Four Points James Dow Allen <user4353@newsgrouper.org.invalid> - 2026-03-25 11:44 +0000
                Re: Two distances among Four Points "Carl G." <carlgnews@microprizes.com> - 2026-03-25 09:17 -0700
                Re: Two distances among Four Points James Dow Allen <user4353@newsgrouper.org.invalid> - 2026-03-26 07:58 +0000
                Re: Two distances among Four Points "Carl G." <carlgnews@microprizes.com> - 2026-03-26 10:26 -0700
                Re: Two distances among Four Points James Dow Allen <user4353@newsgrouper.org.invalid> - 2026-03-27 10:25 +0000
                Re: Two distances among Four Points James Dow Allen <user4353@newsgrouper.org.invalid> - 2026-03-27 20:27 +0000

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