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9 Oct 2024 00:23:09 EDT (-0400)
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From: Mike Raiford
Subject: Re: 4D
Date: 20 Oct 2009 08:51:56
Message: <4addb26c@news.povray.org>
On 10/20/2009 6:58 AM, Saul Luizaga wrote:

>> Let us not also forget that your body would have 0 thickness in 4D-land.
>
> Imagine that, like a 2D being in a 3D world, great for a movie plot :-D
>

Already the plot of a book: Flatland. ;)

-- 
~Mike


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From: Saul Luizaga
Subject: Re: 4D
Date: 20 Oct 2009 09:43:37
Message: <4addbe89$1@news.povray.org>
Invisible wrote:
> Remember Thalidomide?

No idea about this man.

> One Thelidomide molecule is actually "safe", but it's mirror image 
> causes... well, go Google it. (Unfortunately, it turns out that normal 
> human metabolism can convert one molecule to the other, so it's not so 
> "safe" after all...)

oh, interesting, I'll dig into it later, thanks

> But there are lots and lots of biological molecules who's mirror images 
> are at best inactive and at worst toxic.

wow, maybe is not such a good idea without an anti-mirror protection :-)

> Have you read about non-Euclid geometry? You may find it interesting...

No, but I'll try to download a free book from wikipedia wikibooks, 
thanks :-)

> Assuming our hypothetical 4D world has 4D atoms and 4D gravity, I 
> imagine your 0-thickness body would slip between the microscopic gaps 
> between atoms...

wow, a 4D ghost :-D imagining is just great, someone has to do a movie 
out of this, is just too good to be just a Math tale. 4D gravity, that 
will be a problem since the simple "shadow" of a hypercube looks 
bizarre, imagine a true hypercube or more complex object or people, how 
gravity, being normal to a 4D surface by definition, affects the 4D 
matter, man! *blows mind*, if mathematicians help get this to the movies 
will break the Academy Oscar record set by Lord Of The Rings... assuming 
non-math-friendly-people don't go to sleep or exit the movie yelling for 
a refund...

> And that's just about the best way for us 3D simpletons to imagine the 
> 4D world; try to imagine how you'd describe a cube or a torus to a 2D 
> simpleton.

yeah, wow, assuming they understand our language, this is getting more 
and more a new Star Trek series: Voyager in the 4th Dimension.

> Start with 1 point.
> 
> Extrude. Now you have 2 points + 1 line.
> 
> Extrude. Now you have a square consisting of 4 points + 4 lines + 1 
> surface.
> 
> Extrude. Now you have a cube with 8 points + 12 lines + 6 surfaces + 1 
> volume.
> 
> Extrude. Now you have a hypercube with... uh... 16 points, 32 lines, 24 
> surfaces, 8 volumes and 1 hypervolume.
> 
> More fascinating, 4D space apparently has a regular hypergon with 400 
> sides...
> 

Thanks for this, I'd save this and the previous info for future 
reference. I have always liked Math over any other science, I'd be a 
mathematician if it were a Degree anywhere near my city; Math seldom 
bores me, all the opposite, is lots of fun :-)

> Once you realise that a frustrum is a squished cube, and that you're 
> looking *through* the 8th side, it's quite easy to find al 8 sides of a 
> wireframe projection...

OK, I'll take your word for it :-) and I'll start looking on this 
"frustratum" :-D to start with and then go through the 8 sides.

Thanks for all the info pal.

Cheers.


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From: Saul Luizaga
Subject: Re: 4D
Date: 20 Oct 2009 09:45:16
Message: <4addbeec$1@news.povray.org>
Mike Raiford wrote:
> On 10/20/2009 6:58 AM, Saul Luizaga wrote:
> 
>>> Let us not also forget that your body would have 0 thickness in 4D-land.
>>
>> Imagine that, like a 2D being in a 3D world, great for a movie plot :-D
>>
> 
> Already the plot of a book: Flatland. ;)
> 
Oh! coincidence, wikipedia has it 
(http://en.wikisource.org/wiki/Flatland), thanks anyway :-)


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From: Saul Luizaga
Subject: Re: 4D
Date: 20 Oct 2009 10:00:22
Message: <4addc276$1@news.povray.org>
You seem to know an awful amount of Math, you have a Degree on it or 
something related to it?


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From: Invisible
Subject: Re: 4D
Date: 20 Oct 2009 10:06:30
Message: <4addc3e6@news.povray.org>
Saul Luizaga wrote:
> You seem to know an awful amount of Math, you have a Degree on it or 
> something related to it?

I have an Internet connection and too much free time. ;-)

Actually, I have an honors degree in Computer Science, which is closely 
related to mathematics. (However, this is only what it says on the sheet 
of paper; it was "really" a degree in Information Technology, which is 
quite different...)

When I did my maths GCSE, I only got a C. But that was back when I 
thought "maths" just meant doing endless runs of pen and paper 
calculations...


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From: Saul Luizaga
Subject: Re: 4D
Date: 20 Oct 2009 10:07:20
Message: <4addc418$1@news.povray.org>

have seen all 4 Cube movies, even the '70s one.

Cheers.


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From: Darren New
Subject: Re: 4D
Date: 20 Oct 2009 11:55:49
Message: <4adddd85$1@news.povray.org>
Saul Luizaga wrote:
> Just wondering, have you or anybody seen: Cube²: Hypercube, movie?
 

I have. I liked Cube better. I didn't know there were more.

-- 
   Darren New, San Diego CA, USA (PST)
   I ordered stamps from Zazzle that read "Place Stamp Here".


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From: Saul Luizaga
Subject: Re: 4D
Date: 20 Oct 2009 14:54:15
Message: <4ade0757$1@news.povray.org>
Darren New wrote:
> I have. I liked Cube better. I didn't know there were more.

I liked Cube²:Hypercube better because of the wonderful weirdness of 
waking up inside a 3d Cube which was part of a 4D cube, all the 
fascinating theories and convoluted plot and the non-sense ending was 
just classy for me, I only wish I had know more Math and understand was 
was the cylinder that psychiatrists brought back, but for me was the 
best anyway :-)

Ironically Cube 0, was the fourth movie and explain how the first Cube 
was build, is very interesting and creepy like the res of them. The 
first one was: Man in a Cube, literally; was a UK idea originally at the 
seems, there was a German version of Man in a Cube too, I don't 
understand much German so I didn't saw it completely.


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From: stbenge
Subject: Re: 4D
Date: 20 Oct 2009 15:02:24
Message: <4ade0940$1@news.povray.org>
Saul Luizaga wrote:
> I find it to be the most frustrating and fascinating thing ever. I did a 
> search for its objects: 
> http://search.viewpoint.com/pl/websearch?vb=2&tn=&type=ONE&k=4th+dimension+objects 
> 
> I don't know if some day would be possible but would be great to visit a 
> 4D world and meet 4D people :-D

It's good to know that some people are taking the idea of a fourth 
spatial dimension seriously. A lot of people argue that time is the 
"true" 4th dimension, but that idea just doesn't sit well with me, even 
though I don't have a lot of knowledge in this area.

> I was thinking and maybe this is where you go when you die and ghosts 
> are just what we can see from a 4D person. 4D makes my head go thinking 
> pretty bizarre stuff, don't you?

Yeah. I think maybe with our 3D minds we could travel through the fourth 
dimension, yet not be able to witness it directly as we do the 3rd. More 
speculation, I know. It might have been inspired by something...

Sam


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From: Saul Luizaga
Subject: Re: 4D
Date: 20 Oct 2009 15:23:44
Message: <4ade0e40@news.povray.org>
Invisible wrote:
> Saul Luizaga wrote:
>> You seem to know an awful amount of Math, you have a Degree on it or 
>> something related to it?
> 
> I have an Internet connection and too much free time. ;-)
> 
> Actually, I have an honors degree in Computer Science, which is closely 
> related to mathematics. (However, this is only what it says on the sheet 
> of paper; it was "really" a degree in Information Technology, which is 
> quite different...)
> 
> When I did my maths GCSE, I only got a C. But that was back when I 
> thought "maths" just meant doing endless runs of pen and paper 
> calculations...

Oh I see, well even I like Math there is a point where get really 
complex, so unless you devote your life to it you won't get an A from a 
teacher I think or you are some kind of genius. I have been the victim 
of those intellectually wain teachers that won't let you get more grade 
than they think you deserve even when I have proven them wrong according 
to a particular Math concept that they taught us to begin with, so I 
wouldn't worry much about a grade, you know what you know and life will 
grade you more fairly when the grade don't depend on biased humans.


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