Groups > sci.physics.relativity > #384489

Re: Interesting problem

From	"HGWilson, DSc." <hgw@....>
Newsgroups	sci.physics.relativity, sci.physics
Subject	Re: Interesting problem
Date	2016-05-28 20:10 +1000
Organization	Aioe.org NNTP Server
Message-ID	<nibqp0$1b5c$1@gioia.aioe.org> (permalink)
References	<ni5410$nol$1@gioia.aioe.org> <ni54tt$ovc$2@gioia.aioe.org> <niag780ljp@news7.newsguy.com>

Cross-posted to 2 groups.

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On 28/05/16 08:03, Fabian Russell wrote:
> On Wed, 25 May 2016 16:20:03 -0500, Odd Bodkin wrote:

>
> Odd Ball gives one explanation, but can he attain a full generalization?
>
> In the first place, gears are unnecessary.  We can consider rolling circles
> as being the limit of infinite "teeth."
>
> We can also transform a straight "line" into a circle by constructing
> polygonal, or n-gon, intermediates.  In other words, from our straight
> line we construct a 2-gon*, triangle(3-gon), a square(4-gon), a pentagon, etc.
> until we finally arrive at our circle, which is an "infinity-gon."
>
> We roll our circle along each of these n-gons.  How does the motion
> of the circle behave in each case?
>
> * Yes, Odd Ball, a 2-gon does exist.  It is a degenerate polygon
> with 2 sides and 2 vertices.  We can easily make one from our original
> straight line.
>
> Even more illustrative is to consider what happens when a circle is
> rolled around a 1-gon, which has 1 side and 1 vertex.  Maybe Odd Ball
> will enlighten us.
>
> C'mon, Odd Ball.  Let's see you fully generalize this 5th-grade problem.

...too hard for Bodkin...
>

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Thread

Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-26 07:05 +1000
  Re: Interesting problem Poutnik <poutnik4nntp@gmail.com> - 2016-05-25 23:17 +0200
    Re: Interesting problem "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-05-25 14:20 -0700
  Re: Interesting problem "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-05-25 14:18 -0700
  Re: Interesting problem Odd Bodkin <bodkinodd@gmail.com> - 2016-05-25 16:20 -0500
    Re: Interesting problem Tom Roberts <tjroberts137@sbcglobal.net> - 2016-05-25 18:31 -0500
    Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-27 03:25 +1000
      Re: Interesting problem Odd Bodkin <bodkinodd@gmail.com> - 2016-05-26 13:32 -0500
        Re: Interesting problem HGW <hw@...> - 2016-05-27 12:15 +1000
          Re: Interesting problem Odd Bodkin <bodkinodd@gmail.com> - 2016-05-27 04:26 -0500
            Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-27 19:52 +1000
              Re: Interesting problem Odd Bodkin <bodkinodd@gmail.com> - 2016-05-27 05:46 -0500
                Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-27 21:55 +1000
                Re: Interesting problem Odd Bodkin <bodkinodd@gmail.com> - 2016-05-27 07:23 -0500
                Re: Interesting problem Odd Bodkin <bodkinodd@gmail.com> - 2016-05-27 07:26 -0500
                Re: Interesting problem "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-05-27 05:29 -0700
                Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-28 19:47 +1000
                Re: Interesting problem Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-05-28 04:12 -0700
                Re: Interesting problem Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-05-28 04:51 -0700
                Re: Interesting problem alsor@interia.pl - 2016-05-28 11:27 -0700
                Re: Interesting problem Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-05-28 14:01 -0700
                Re: Interesting problem alsor@interia.pl - 2016-05-28 15:10 -0700
                Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-29 09:35 +1000
                Re: Interesting problem alsor@interia.pl - 2016-05-29 10:35 -0700
                Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-30 07:01 +1000
                Re: Interesting problem Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-05-29 15:22 -0700
                Re: Interesting problem alsor@interia.pl - 2016-05-30 13:05 -0700
                Re: Interesting problem alsor@interia.pl - 2016-05-30 16:27 -0700
                Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-31 20:56 +1000
                Re: Interesting problem alsor@interia.pl - 2016-05-31 08:40 -0700
                Re: Interesting problem HGW <hw@...> - 2016-06-02 09:40 +1000
                Re: Interesting problem alsor@interia.pl - 2016-06-02 11:53 -0700
                Re: Interesting problem Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-05-31 04:25 -0700
                Re: Interesting problem mlwozniak@wp.pl - 2016-05-31 04:58 -0700
                Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-06-01 06:31 +1000
                Re: Interesting problem Odd Bodkin <bodkinodd@gmail.com> - 2016-05-31 16:30 -0500
                Re: Interesting problem HGW <hw@...> - 2016-06-02 09:44 +1000
                Re: Interesting problem JanPB <filmart@gmail.com> - 2016-05-31 14:58 -0700
                Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-06-01 06:24 +1000
                Re: Interesting problem Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-06-01 06:23 -0700
                Re: Interesting problem Odd Bodkin <bodkinodd@gmail.com> - 2016-06-01 11:11 -0500
                Re: Interesting problem HGW <hw@...> - 2016-06-02 09:47 +1000
                Re: Interesting problem Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-06-01 18:50 -0700
                Re: Interesting problem alsor@interia.pl - 2016-06-02 12:07 -0700
                Re: Interesting problem alsor@interia.pl - 2016-06-01 08:59 -0700
                Re: Interesting problem HGW <hw@...> - 2016-06-02 10:09 +1000
                Re: Interesting problem Odd Bodkin <bodkinodd@gmail.com> - 2016-05-29 13:52 -0500
                Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-30 07:09 +1000
                Re: Interesting problem Sam Wormley <swormley1@gmail.com> - 2016-05-29 16:26 -0500
                Re: Interesting problem Fabian Russell <fb@zen.info> - 2016-05-30 04:25 +0000
                Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-31 21:00 +1000
                Re: Interesting problem Fabian Russell <fb@zen.info> - 2016-05-31 22:46 +0000
                Re: Interesting problem HGW <hw@...> - 2016-06-02 09:32 +1000
                Re: Interesting problem Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-05-27 05:34 -0700
                Re: Interesting problem "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-05-27 05:40 -0700
                Re: Interesting problem "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-05-27 05:43 -0700
                Re: Interesting problem rotchm <rotchm@gmail.com> - 2016-05-27 06:40 -0700
                Re: Interesting problem Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-05-27 07:42 -0700
                Re: Interesting problem rotchm <rotchm@gmail.com> - 2016-05-27 06:36 -0700
                Re: Interesting problem Odd Bodkin <bodkinodd@gmail.com> - 2016-05-27 09:01 -0500
                Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-28 20:04 +1000
                Re: Interesting problem Prokaryotic Caspase Homolog <prokaryotic.caspase.homolog@gmail.com> - 2016-05-28 04:34 -0700
    Re: Interesting problem Fabian Russell <fb@zen.info> - 2016-05-27 22:03 +0000
      Re: Interesting problem "HGWilson, DSc." <hgw@....> - 2016-05-28 20:10 +1000

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