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tech / sci.physics.relativity / Re: geometry puzzle

SubjectAuthor
* geometry puzzleRichD
+- Re: geometry puzzleDono.
`* Re: geometry puzzleStan Fultoni
 +* Re: geometry puzzlePaul Alsing
 |`* Re: geometry puzzleDono.
 | `- Re: geometry puzzleDono.
 `- Re: geometry puzzleRichD

1
geometry puzzle

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https://www.novabbs.com/tech/article-flat.php?id=89685&group=sci.physics.relativity#89685

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Subject: geometry puzzle
From: r_delane...@yahoo.com (RichD)
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 by: RichD - Wed, 4 May 2022 20:49 UTC

An oldie:
Travel one mile south, one mile east, one mile north.  
You return to your starting point. You see a bear.  What color is he?

Show that there is no other point which satisfy these
conditions (ignore the bear).

This is on topic, because it involves geometry on a curved manifold.

--
Rich

Re: geometry puzzle

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Subject: Re: geometry puzzle
From: eggy2001...@gmail.com (Dono.)
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 by: Dono. - Wed, 4 May 2022 22:33 UTC

On Wednesday, May 4, 2022 at 1:49:47 PM UTC-7, RichD wrote:
> An oldie:
> Travel one mile south, one mile east, one mile north.
> You return to your starting point. You see a bear. What color is he?
>
> Show that there is no other point which satisfy these
> conditions (ignore the bear).
>
> This is on topic, because it involves geometry on a curved manifold.
>
> --
> Rich
White. North Pole.

Re: geometry puzzle

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Subject: Re: geometry puzzle
From: fultonis...@gmail.com (Stan Fultoni)
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 by: Stan Fultoni - Wed, 4 May 2022 23:29 UTC

On Wednesday, May 4, 2022 at 1:49:47 PM UTC-7, RichD wrote:
> Travel one mile south, one mile east, one mile north.
> You return to your starting point. You see a bear...
> Show that there is no other point which satisfy these
> conditions (ignore the bear).

If you "ignore the bear", there are infinitely many such points
(1 + 1/2pi miles from the south pole).

Re: geometry puzzle

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https://www.novabbs.com/tech/article-flat.php?id=89691&group=sci.physics.relativity#89691

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Subject: Re: geometry puzzle
From: pnals...@gmail.com (Paul Alsing)
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 by: Paul Alsing - Thu, 5 May 2022 03:08 UTC

On Wednesday, May 4, 2022 at 4:29:19 PM UTC-7, Stan Fultoni wrote:
> On Wednesday, May 4, 2022 at 1:49:47 PM UTC-7, RichD wrote:
> > Travel one mile south, one mile east, one mile north.
> > You return to your starting point. You see a bear...
> > Show that there is no other point which satisfy these
> > conditions (ignore the bear).

> If you "ignore the bear", there are infinitely many such points
> (1 + 1/2pi miles from the south pole).

Show your work...

Re: geometry puzzle

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Subject: Re: geometry puzzle
From: eggy2001...@gmail.com (Dono.)
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 by: Dono. - Thu, 5 May 2022 03:29 UTC

On Wednesday, May 4, 2022 at 8:08:15 PM UTC-7, Paul Alsing wrote:
> On Wednesday, May 4, 2022 at 4:29:19 PM UTC-7, Stan Fultoni wrote:
> > On Wednesday, May 4, 2022 at 1:49:47 PM UTC-7, RichD wrote:
> > > Travel one mile south, one mile east, one mile north.
> > > You return to your starting point. You see a bear...
> > > Show that there is no other point which satisfy these
> > > conditions (ignore the bear).
>
> > If you "ignore the bear", there are infinitely many such points
> > (1 + 1/2pi miles from the south pole).
> Show your work...
You are on a line of latitude so close to the South Pole that the entire circle of latitude is exactly one mile around. Or Half a mile around. Or 1/n pf a mile around, with n integer. But there are no bears at the South pole :-)

Re: geometry puzzle

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Subject: Re: geometry puzzle
From: eggy2001...@gmail.com (Dono.)
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 by: Dono. - Thu, 5 May 2022 03:34 UTC

On Wednesday, May 4, 2022 at 8:29:38 PM UTC-7, Dono. wrote:
> On Wednesday, May 4, 2022 at 8:08:15 PM UTC-7, Paul Alsing wrote:
> > On Wednesday, May 4, 2022 at 4:29:19 PM UTC-7, Stan Fultoni wrote:
> > > On Wednesday, May 4, 2022 at 1:49:47 PM UTC-7, RichD wrote:
> > > > Travel one mile south, one mile east, one mile north.
> > > > You return to your starting point. You see a bear...
> > > > Show that there is no other point which satisfy these
> > > > conditions (ignore the bear).
> >
> > > If you "ignore the bear", there are infinitely many such points
> > > (1 + 1/2pi miles from the south pole).
> > Show your work...
> You are on a line of latitude so close to the South Pole that the entire circle of latitude is exactly one mile around. Or Half a mile around. Or 1/n pf a mile around, with n integer. But there are no bears at the South pole :-)

Clarification: You are 1 mi north of circle o close to the South Pole that the entire circle of latitude is exactly one mile around. Or half a mile around. Or 1/n of a mile around, with n integer.

Re: geometry puzzle

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Subject: Re: geometry puzzle
From: r_delane...@yahoo.com (RichD)
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 by: RichD - Thu, 5 May 2022 17:33 UTC

On May 4, Stan Fultoni wrote:
>> Travel one mile south, one mile east, one mile north.
>> You return to your starting point. You see a bear...
>> Show that there is no other point which satisfy these
>> conditions (ignore the bear).
>
> If you "ignore the bear", there are infinitely many such points
> (1 + 1/2pi miles from the south pole).

Dammit, it's a trick question.
Which you saw through (correctly).

I'm going to have to work harder -

--
Rich

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