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tech / sci.physics.relativity / Re: the optimizing spider

SubjectAuthor
* the optimizing spiderRichD
+* Re: the optimizing spiderStan Fultoni
|+* Re: the optimizing spiderMikko
||+* Re: the optimizing spiderMaciej Wozniak
|||`- Re: the optimizing spiderRoss A. Finlayson
||+* Re: the optimizing spiderStan Fultoni
|||+* Re: the optimizing spiderRichD
||||`- Re: the optimizing spiderStan Fultoni
|||`* Re: the optimizing spiderMikko
||| +* Re: the optimizing spiderStan Fultoni
||| |`* Re: the optimizing spiderMikko
||| | +* Re: the optimizing spiderStan Fultoni
||| | |`* Re: the optimizing spiderMikko
||| | | `* Re: the optimizing spiderStan Fultoni
||| | |  `* Re: the optimizing spiderMikko
||| | |   `- Re: the optimizing spiderStan Fultoni
||| | `* Re: the optimizing spiderRichD
||| |  `* Re: the optimizing spiderMikko
||| |   `* Re: the optimizing spiderRichD
||| |    `- Re: the optimizing spiderStan Fultoni
||| `- Re: the optimizing spiderMaciej Wozniak
||`* Re: the optimizing spiderRichD
|| `* Re: the optimizing spiderTom Roberts
||  `* Re: the optimizing spiderRichD
||   `- Re: the optimizing spiderStan Fultoni
|`- Re: the optimizing spiderRichD
`- Re: the optimizing spiderrotchm

Pages:12
Re: the optimizing spider

<7214cee4-a7da-479e-b79a-21473ff80ad9n@googlegroups.com>

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Subject: Re: the optimizing spider
From: r_delane...@yahoo.com (RichD)
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 by: RichD - Tue, 17 May 2022 18:16 UTC

On May 17, Mikko wrote:
>>> That there is more than one straight path is sufficient to show that the
>>> space is non-Euclidean. It is true that there are infinitely many paths
>>> but obviously the shortest path is one of the three I mentioned.
>
>> What's the third?
>
> One non-optimal is up, down, crossing the bottom, up to the fly.

~ 12" total

This route is the 'straightest', in the usual sense of the word,
is it not? That is, it doesn't curve along the glass surface. Hence,
according Euclid, it should be the shortest path.

Yet it's longer than the correct solution. How to reconcile these observations?

--
Rich

Re: the optimizing spider

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Subject: Re: the optimizing spider
From: fultonis...@gmail.com (Stan Fultoni)
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 by: Stan Fultoni - Tue, 17 May 2022 18:55 UTC

On Tuesday, May 17, 2022 at 11:16:56 AM UTC-7, RichD wrote:
> This route is the 'straightest', in the usual sense of the word, is it not?
> That is, it doesn't curve along the glass surface.

If you think "the usual sense of the word" is the extrinsic sense, then none of the mentioned paths are straight, but if you think "the usual sense of the word" is the intrinsic sense, then all of the mentioned paths are straight.

> Hence, according Euclid, it should be the shortest path.

You're still confusing geometry with topology. Over the relevant topologically simple region in which the solution obviously resides, the space is intrinsically Euclidean, and the length is given by the Pythagorean theorem. I think we covered this before.

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