On Mon, 12 May 2008 21:30:39 -0400, Tem****al Voyager mimus
<tinmimus99@[EMAIL PROTECTED]
>, in a desperate attempt to change the
alt.alien.vampire.flonk.flonk.flonk timestream, said:
>On Mon, 12 May 2008 18:47:24 -0400, dave hillstrom wrote:
>
>> On Mon, 12 May 2008 09:40:00 -0400, mimus <tinmimus99@[EMAIL PROTECTED]
>
>> wrote:
>>
>>> On Mon, 12 May 2008 23:25:47 +1000, Peter Webb wrote:
>>>
>>>> "mimus" <tinmimus99@[EMAIL PROTECTED]
> wrote in message
>>>> news:WZGdnYk6ysIsorXVnZ2dnUVZ_qHinZ2d@[EMAIL PROTECTED]
>>>>
>>>>> On Mon, 12 May 2008 18:36:20 +1000, Peter Webb wrote:
>>>>>
>>>>>> "mimus" <tinmimus99@[EMAIL PROTECTED]
> wrote in message
>>>>>> news:8uCdnZuH0sBCzIDVnZ2dnUVZ_hKdnZ2d@[EMAIL PROTECTED]
>>>>>>
>>>>>>> On Sat, 03 May 2008 21:33:59 -0500, Tim Weaver wrote:
>>>>>>>
>>>>>>>> mimus wrote:
>>>>>>>>
>>>>>>>>> At least, I swept up at least twice as much glass as could
possibly have
>>>>>>>>> been in the original.
>>>>>>>>>
>>>>>>>>> And that's only possible if you do an infinite decomposition of
the
>>>>>>>>> object, as exemplified by the Tarski-Banach ball.
>>>>>>>>>
>>>>>>>>> Maybe this is a sign I should mop my kitchen-floor.
>>>>>>>>>
>>>>>>>>> Will I need an infinite mop?
>>>>>>>>
>>>>>>>> Yes, if you have a mobius shaped floor.
>>>>>>>
>>>>>>> Mobius strips are usually finite.
>>>>>>>
>>>>>>> Just unbounded.
>>>>>>
>>>>>> Technical note: Mobius strips have a single boundary.
>>>>>
>>>>> ok fine.
>>>>>
>>>>> (As soon as I read that, my head tried to encompass an unbounded
Moebius
>>>>> strip and couldn't do it.)
>>>>
>>>> Well ...
>>>>
>>>> Imagine the width of the Mobius strip was infinite. You would then
have a
>>>> surface that was unbounded in both directions, finite in one
direction and
>>>> infinite in the other - sort of like a cylinder, but its not. Nor is
it a
>>>> Klein bottle or cross-cap. It can't be embedded in R^3 as it self
>>>> intersects. But it is a reasonable interpretation of an "unbounded
Mobius
>>>> strip", whatever its real name is (if it has one).
>>>
>>> <squint>
>>>
>>> A single-sided infinite plane or saddle or a single-sided sphere, is
>>> what it looks to me like what we're lookin' at, yes it does. Yes.
>>>
>>> I think Klein bottles cheat with that penetration business-- tearing
is
>>> a no-no in algebraic topology, even though that's how you make a
>>> Moebius strip, and also in a sense how they work up the matricial
>>> representation of one, swapping connection-points or vertices in the
>>> matrix representing an ordinary strip or tube.
>>>
>>> http://www.kleinbottle.com
>>
>> <THWACK>
>
>THE MOEBIUS DAM BROKE
>RUN TO THE UPSTREAM SIDE
*Now* you tell me - I left the upstream side five minutes ago...
--
Lorrill Buyens
MHM: 9x1; Smeeter: #21; WSD: #3; Gutter Chix0r: #19
Alcatroll Labs; ***, Drugs and Rock 'n' Roll Division
"dsysm, its sooooo smooth and clesr."
- Dave Hillstrom's ringing endorsement of mead, in
aav3f
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