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30 Jul 2024 10:25:01 EDT (-0400)
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From: Alain
Subject: Re: Cantor's Razor
Date: 14 Oct 2012 15:14:08
Message: <507b0f00$1@news.povray.org>
Le 10/10/12 1:40 AM, Le_Forgeron a écrit :
> Le 10/10/2012 02:58, Archpawn nous fit lire :
>>> Shipping cost: weight of blades is 0, number of blades is so huge...
>>
>> No. The edges have zero measure. The solid still has volume.
>>
>
> I wonder. Finite x Finite x 0 = ?
>


Not always, as is the case with fractals. A fractal line (width = 0) can 
have an area, a fractal surface can have a volume (thickness = 0).

That blade is fractal, and even if it effectively have a volume of zero, 
it still occupy a mesurable volume.


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From: Jörg 'Yadgar' Bleimann
Subject: Re: Cantor's Razor
Date: 15 Oct 2012 16:14:42
Message: <507c6eb2$1@news.povray.org>
Hi(gh)!

On 09.10.2012 05:24, Archpawn wrote:
> People keep making razors with more and more blades.

...and other people simply grow their beards, which also can be very 
fractal!

See you in Khyberspace!

Yadgar


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From: MichaelJF
Subject: Re: Cantor's Razor
Date: 15 Oct 2012 16:55:01
Message: <web.507c77b68e862ba1c24cdc420@news.povray.org>
=?ISO-8859-1?Q?J=F6rg_=27Yadgar=27_Bleimann?= <yaz### [at] gmxde> wrote:
> Hi(gh)!
>
> On 09.10.2012 05:24, Archpawn wrote:
> > People keep making razors with more and more blades.
>
> ...and other people simply grow their beards, which also can be very
> fractal!
>
> See you in Khyberspace!
>
> Yadgar

LOL, so we end up with the question, if Dirichlet's beard follows his function?

http://de.wikipedia.org/wiki/Peter_Gustav_Lejeune_Dirichlet

Best regards,
michael


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From: Jörg 'Yadgar' Bleimann
Subject: Re: Cantor's Razor
Date: 15 Oct 2012 19:36:09
Message: <507c9de9$1@news.povray.org>
Hi(gh)!

> LOL, so we end up with the question, if Dirichlet's beard follows his function?
>
> http://de.wikipedia.org/wiki/Peter_Gustav_Lejeune_Dirichlet

As far as it is recognizable from the image, I would say "not really"... 
but I've seen many Afghans growing amazingly fractal (= involving 
self-similarity) beards!

See you in Khyberspace!

Yadgar


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