Thread: "Visualizing Hyperobjects"

From: llamaonacid@gmail.com
Date: Sun, 22 Nov 2015 19:21:42 -0800
Subject: Visualizing Hyperobjects



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No. Every once in a while people will claim that some other brilliant
person has the ability, but I believe they're wrong, and the reason for
that is that we've evolved specifically to live in 3 dimensions and it's
very hard-coded in our brains. I recently saw a video in which the
speaker claimed that we can't even visualize in 1 or 2 dimensions
because when we try, we really end up simply embedding lines and planes
in a mental 3D space. We do have the ability to think abstractly and can
therefore deal with any number of dimensions and even fractional
dimensions, but when it comes to visualizing, them, I've concluded that
we're hopelessly stuck.

On 11/22/2015 6:35 PM, llamaonacid@gmail.com [4D_Cubing] wrote:
>
>
> Is the human brain capable of actually visualizing hyperobjects and
> has anyone here been capable of doing so?


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No. Every once in a while people will claim that some other
brilliant person has the ability, but I believe they're wrong, and
the reason for that is that we've evolved specifically to live in 3
dimensions and it's very hard-coded in our brains. I recently saw a
video in which the speaker claimed that we can't even visualize in 1
or 2 dimensions because when we try, we really end up simply
embedding lines and planes in a mental 3D space. We do have the
ability to think abstractly and can therefore deal with any number
of dimensions and even fractional dimensions, but when it comes to
visualizing, them, I've concluded that we're hopelessly stuck.



On 11/22/2015 6:35 PM,
llamaonacid@gmail.com [4D_Cubing] wrote:





Is the human brain capable of actually visualizing hyperobjects
and has anyone here been capable of doing so?







--------------070100060001070803050706--




From: llamaonacid@gmail.com
Date: 22 Nov 2015 20:04:51 -0800
Subject: Re: [MC4D] Visualizing Hyperobjects




From: llamaonacid@gmail.com
Date: Sun, 22 Nov 2015 20:15:01 -0800
Subject: Re: [MC4D] Visualizing Hyperobjects



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I don't find slicing things to be a very helpful way of understanding
them. Projections seem much more useful in that regard. MC4D will give
you that tiny glimpse that you want, but don't expect much more than
that. Computers have no trouble dealing with any number of dimensions
but I wouldn't say that they visualize anything either. Sure, we might
and probably should design our successors to be better than ourselves in
as many ways as possible. I'm just saying that I don't see us ever
developing the ability, even in our transhumanist future.

On 11/22/2015 8:04 PM, llamaonacid@gmail.com [4D_Cubing] wrote:
>
>
> Oh. Perhaps you are correct but I think that in a post-human era, AI
> will be able to live in environments with higher dimensions.
>
> Right now, though, an individual could visualize a Rubik's Cube as
> five 2D slices and somehow put them together in their mind. I am
> thinking that if I somehow can visualize five 3D slices of a 4D
> Rubik's Cube and put them together I would be able to visualize 4D at
> least a tiny glimpse.


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">


I don't find slicing things to be a very helpful way of
understanding them. Projections seem much more useful in that
regard. MC4D will give you that tiny glimpse that you want, but
don't expect much more than that. Computers have no trouble dealing
with any number of dimensions but I wouldn't say that they visualize
anything either. Sure, we might and probably should design our
successors to be better than ourselves in as many ways as possible.
I'm just saying that I don't see us ever developing the ability,
even in our transhumanist future.



On 11/22/2015 8:04 PM,
l.com">llamaonacid@gmail.com [4D_Cubing] wrote:





Oh. Perhaps you are correct but I think that in a post-human era,
AI will be able to live in environments with higher dimensions.



Right now, though, an individual could visualize a Rubik's Cube as
five 2D slices and somehow put them together in their mind. I am
thinking that if I somehow can visualize five 3D slices of a 4D
Rubik's Cube and put them together I would be able to visualize 4D
at least a tiny glimpse. =C2=A0






--------------080805080900010202010103--




From: "Eduard Baumann" <ed.baumann@bluewin.ch>
Date: Mon, 23 Nov 2015 09:24:32 +0100
Subject: Re: [MC4D] Visualizing Hyperobjects



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I perfectly agree with Melinda!
Very succinct considerations!
"we've evolved specifically to live in 3 dimensions and=20
it's very hard-coded in our brains"

Best regards
Ed


----- Original Message -----=20
From: Melinda Green melinda@superliminal.com [4D_Cubing]=20
To: 4D_Cubing@yahoogroups.com=20
Sent: Monday, November 23, 2015 5:15 AM
Subject: Re: [MC4D] Visualizing Hyperobjects


=20=20=20=20
I don't find slicing things to be a very helpful way of understanding the=
m. Projections seem much more useful in that regard. MC4D will give you tha=
t tiny glimpse that you want, but don't expect much more than that. Compute=
rs have no trouble dealing with any number of dimensions but I wouldn't say=
that they visualize anything either. Sure, we might and probably should de=
sign our successors to be better than ourselves in as many ways as possible=
. I'm just saying that I don't see us ever developing the ability, even in =
our transhumanist future.



On 11/22/2015 8:04 PM, llamaonacid@gmail.com [4D_Cubing] wrote:

Oh. Perhaps you are correct but I think that in a post-human era, AI wi=
ll be able to live in environments with higher dimensions.

Right now, though, an individual could visualize a Rubik's Cube as five=
2D slices and somehow put them together in their mind. I am thinking that =
if I somehow can visualize five 3D slices of a 4D Rubik's Cube and put them=
together I would be able to visualize 4D at least a tiny glimpse.=20=20=20



=20=20
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=EF=BB=BF




I perfectly agree with Melinda!V>
Very succinct considerations!

=
"size=3D3>we've evolved specifically to live in 3 dimensions and=20

=
size=3D3>it's very hard-coded in our=20
brains"

 

Best regards

Ed

 

 

style=3D"BORDER-LEFT: #000000 2px solid; PADDING-LEFT: 5px; PADDING-RIGHT: =
0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px">
----- Original Message -----

style=3D"FONT: 10pt arial; BACKGROUND: #e4e4e4; font-color: black">Fro=
m:
=20
href=3D"mailto:melinda@superliminal.com [4D_Cubing]">Melinda Green=20
melinda@superliminal.com [4D_Cubing]

To: ps.com=20
href=3D"mailto:4D_Cubing@yahoogroups.com">4D_Cubing@yahoogroups.com
<=
/DIV>
Sent: Monday, November 23, 2015 5:=
15=20
AM

Subject: Re: [MC4D] Visualizing=20
Hyperobjects


 =20

I don't find slicing things to be a very helpful way of understanding =
them.=20
Projections seem much more useful in that regard. MC4D will give you that=
tiny=20
glimpse that you want, but don't expect much more than that. Computers ha=
ve no=20
trouble dealing with any number of dimensions but I wouldn't say that the=
y=20
visualize anything either. Sure, we might and probably should design our=
=20
successors to be better than ourselves in as many ways as possible. I'm j=
ust=20
saying that I don't see us ever developing the ability, even in our=20
transhumanist future.


On 11/22/2015 8:04 PM, class=3Dmoz-txt-link-abbreviated=20
href=3D"mailto:llamaonacid@gmail.com">llamaonacid@gmail.com [4D_Cubin=
g]=20
wrote:

Oh. Pe=
rhaps=20
you are correct but I think that in a post-human era, AI will be able t=
o=20
live in environments with higher dimensions.

Right now, though, =
an=20
individual could visualize a Rubik's Cube as five 2D slices and somehow=
put=20
them together in their mind. I am thinking that if I somehow can visual=
ize=20
five 3D slices of a 4D Rubik's Cube and put them together I would be ab=
le to=20
visualize 4D at least a tiny glimpse.  




------=_NextPart_000_003C_01D125D0.C3410AA0--




From: Chris <cpw@maine.rr.com>
Date: Mon, 23 Nov 2015 08:13:47 -0500
Subject: Re: [MC4D] Visualizing Hyperobjects




From: Chris <cpw@maine.rr.com>
Date: 23 Nov 2015 07:36:28 -0800
Subject: Re: [MC4D] Visualizing Hyperobjects




From: llamaonacid@gmail.com
Date: Mon, 23 Nov 2015 19:38:08 -0800
Subject: Re: [MC4D] Visualizing Hyperobjects



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Hello Chris,

I'm glad that you decided to join the discussion!

The closest I've come to truly perceiving something in 4D comes from the=20
4D shift-dragging rotation in MC4D. We get so used to seeing these=20
projections into 3D that it's easy to forget about their 4D nature. We=20
all know that that the puzzle consists of eight 3D faces but we forget=20
that they bound a rectilinear region of 4-space. It's analogous to how=20
solvers of the 3D twisty puzzles are very aware of the patterns of the=20
stickers on the outside of their favorite objects and are only=20
occasionally aware of its volume and the mechanism inside it. Looked at=20
this way, the Rubik's cube is really a 2D puzzle, and MC4D is really=20
only 3D. That gives us plenty of opportunity to perceive the true nature=20
of this puzzle, but not of the object itself. The 3D "skin" of this=20
object completely fills my 3D mind, but where is the 4D volume that it=20
bounds? When I'm shift-dragging in MC4D I sometimes get glimpses into of=20
a kind of finite cubic hollowness, but it quickly vanishes. The good=20
thing is that the experience is repeatable.

The only other thing I want to say is that visualization has little to=20
do with vision. I'm glad that you pointed out how motion parallax allows=20
stereo vision with only a single eye. One eye should be enough to "see"=20
in any number of dimensions, but notice that you can still visualize=20
just fine without any eyes. If you close your eyes and think about a=20
model car, you can perceive it from any angle just by thinking about it.=20
Actually, that's a trick that does take some effort, and some people are=20
not very good at it, I think because it specifically involves vision.=20
It's the mental equivalent of projecting a 3D object into a 2D picture.=20
The result is that you can only look at one projection at a time. Not=20
exactly the "all directions at once" you are hoping for.

But consider this. Imagine holding that model car in your hands with=20
your eyes closed. You can now be completely aware of all of its features=20
at the same time! Even people who were blind from birth are quite able=20
to visualize in 3D. It's as if we all have a kind of stage inside our=20
minds that we can fill with an awareness of whatever we like, including=20
ourselves. Especially including ourselves. That's how we measure and=20
judge the distance and speed and potential danger of cars and tigers and=20
such in our environment. It's crucial for most species to have this sort=20
of awareness, and that's why it evolved.

As llamaonacid said (what is your name please?), AI can be programmed to=20
do similar things in any number of dimensions. It's helpful to realize=20
that computers and software also evolve. Their evolution is not driven=20
by natural selection, but market forces still drive a very real form of=20
evolution. In all cases, evolution is a form of optimization towards=20
various goals where only the fittest survive. Evolution requires goals.=20
We evolved over billions of years to survive in a 3D world, so that's=20
not just what we're good at, it's also a large part of what we are.=20
Computers are evolving against some very different goals. One of the=20
biggest uses of computer power today is in the linear programming field=20
of resource allocation. These systems naturally deal with objects=20
involving millions of dimensions, and have gotten very good at it. I can=20
imagine a future in which they become self-aware, but I can't imagine=20
how I could ever become like them, or how they could become like me,=20
because we are simply evolved for different things. I can on the other=20
hand imagine something about the lives of future robots and self-driving=20
cars, because they are evolving to function in some of the same=20
environments in which we evolved. Notice also how it would be next to=20
impossible to teach a linear programming computer to drive a car, or for=20
a self-driving car to crunch linear programming problems. It would be=20
analogous to trying to pull an umbrella through a chain-link fence. With=20
enough enough effort, you might actually manage it, but you probably=20
wouldn't even call it an umbrella at that point.

-Melinda

On 11/23/2015 5:13 AM, Chris cpw@maine.rr.com [4D_Cubing] wrote:
>
>
> The closest thing I ever had to a religious experience was when I=20
> visualized a hypersphere, at least as much as I'm capable of=20
> visualizing anything. Haven't been able to duplicate the experience.
>
> So, on the one hand, that's still a "no" because my ability to=20
> visualize is kind of . . . not there. I've never found the words to=20
> describe what it /is/ like. It's /almost/ seeing, but not quite=20
> there. On the other hand, to the extent that I can "see" anything in=20
> my mind's eye, I did see it that one time. On Zaphoid Beeblebrox's=20
> third hand, an n-dimensional sphere is always going to be the easiest=20
> thing to visualize. It looks the same from every angle so if it isn't=20
> textured or colored, there's no complexity; looking at a sphere is=20
> always shows you a circle, looking at a circle if you're in a 2D=20
> environment always shows you a line of the same length. Shading is=20
> probably different though, otherwise how do you know from a single=20
> angle that it's really an n-sphere not an [n minus 1] sphere? (E.g.=20
> how do you know it's a sphere not a circular disk?)
>
> Combine the simplicity of a hypersphere with the fact that nothing I=20
> "visualize" actually quite reaches the level of real visualization=20
> (I'm in envy of those who can truly visualize) and we're back to=20
> Melinda's answer of, "No." (Plus it only happened once.)
>
> It is a bit more complex than simply that we're coded for 3D, though. =
=20
> We are, but what that means is more complicated than it initially=20
> sounds. We don't see in three dimensions. We see in two dimensions,=20
> twice, from slightly different angles, and use the differences to=20
> determine three dimensional structure. These days you can do the same=20
> thing with two pictures from different positions and a computer=20
> program, it's called "structure from motion" (the "motion" being=20
> moving the camera from angle one to angle two, and then probably other=20
> angles as well because why stop at two?)
>
> If you close one eye (or only have the one, or don't have two=20
> working-together normally), though, even though what you're seeing is=20
> a single two dimensional image, you're still seeing three dimensional=20
> objects, and any movement allows the same kind of=20
> difference-to-structure as having the two standard offset eyes open=20
> (though our brains aren't nearly as adept at that compared to just=20
> having two eyes open and working in concert.)
>
> Applying the same principles to four dimensional objects, an eye=20
> evolved for a 4D would return a three dimensional "image" and you'd=20
> use two such 3D viewing eyes, offset of course, to get the 4D=20
> structure. But, as with our 2D viewing eyes, closing one of them=20
> wouldn't mean you're not looking at 4D objects anymore.
>
> So to really visualize in 4D what is needed is to be able to visualize=20
> a 3D space /as seen from every possible angle at once/. As far as I=20
> know, no one can do that. Might be why my pseudo-religious=20
> mathematical experience was a hypersphere, every possible angle of a=20
> sphere returns "looks like a circle from this angle too." But, even=20
> with something that simple, I only ever did it once. And that's not=20
> because of a lack of trying, I simply can't duplicate the experience.
>
> But if you could, somehow, do that (see 3D from every possible angle),=20
> then it would be the same as 4D viewing without depth perception.
>
> Seeing in 4D requires seeing in true 3D, and human beings can't=20
> actually do that. We compare two two dimensional images in a brain=20
> designed to gather depth information from the differences between them=20
> and see in a sort of 2.5-D. We're not /just/ hard-coded for a 3D=20
> world, we're hard-coded for viewing that world from a single position=20
> (with the only wiggle room being the distance from one eye to the=20
> other, said wiggle room being used to determine depth.)
>
> - Chris Witham, who has been meaning to say, "Hello," for /years/.
> (chris the cynic)
>
> ps Hi everyone.
>
> On 11/22/2015 9:35 PM, llamaonacid@gmail.com [4D_Cubing] wrote:
>>
>> Is the human brain capable of actually visualizing hyperobjects and=20
>> has anyone here been capable of doing so?
>>
>
>
>=20


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">


Hello Chris,



I'm glad that you decided to join the discussion!



The closest I've come to truly perceiving something in 4D comes from
the 4D shift-dragging rotation in MC4D. We get so used to seeing
these projections into 3D that it's easy to forget about their 4D
nature. We all know that that the puzzle consists of eight 3D faces
but we forget that they bound a rectilinear region of 4-space. It's
analogous to how solvers of the 3D twisty puzzles are very aware of
the patterns of the stickers on the outside of their favorite
objects and are only occasionally aware of its volume and the
mechanism inside it. Looked at this way, the Rubik's cube is really
a 2D puzzle, and MC4D is really only 3D. That gives us plenty of
opportunity to perceive the true nature of this puzzle, but not of
the object itself. The 3D "skin" of this object completely fills my
3D mind, but where is the 4D volume that it bounds? When I'm
shift-dragging in MC4D I sometimes get glimpses into of a kind of
finite cubic hollowness, but it quickly vanishes. The good thing is
that the experience is repeatable.



The only other thing I want to say is that visualization has little
to do with vision. I'm glad that you pointed out how motion parallax
allows stereo vision with only a single eye. One eye should be
enough to "see" in any number of dimensions, but notice that you can
still visualize just fine without any eyes. If you close your eyes
and think about a model car, you can perceive it from any angle just
by thinking about it. Actually, that's a trick that does take some
effort, and some people are not very good at it, I think because it
specifically involves vision. It's the mental equivalent of
projecting a 3D object into a 2D picture. The result is that you can
only look at one projection at a time. Not exactly the "all
directions at once" you are hoping for.



But consider this. Imagine holding that model car in your hands with
your eyes closed. You can now be completely aware of all of its
features at the same time! Even people who were blind from birth are
quite able to visualize in 3D. It's as if we all have a kind of
stage inside our minds that we can fill with an awareness of
whatever we like, including ourselves. Especially including
ourselves. That's how we measure and judge the distance and speed
and potential danger of cars and tigers and such in our environment.
It's crucial for most species to have this sort of awareness, and
that's why it evolved.



As llamaonacid said (what is your name please?), AI can be
programmed to do similar things in any number of dimensions. It's
helpful to realize that computers and software also evolve. Their
evolution is not driven by natural selection, but market forces
still drive a very real form of evolution. In all cases, evolution
is a form of optimization towards various goals where only the
fittest survive. Evolution requires goals. We evolved over billions
of years to survive in a 3D world, so that's not just what we're
good at, it's also a large part of what we are. Computers are
evolving against some very different goals. One of the biggest uses
of computer power today is in the linear programming field of
resource allocation. These systems naturally deal with objects
involving millions of dimensions, and have gotten very good at it. I
can imagine a future in which they become self-aware, but I can't
imagine how I could ever become like them, or how they could become
like me, because we are simply evolved for different things. I can
on the other hand imagine something about the lives of future robots
and self-driving cars, because they are evolving to function in some
of the same environments in which we evolved. Notice also how it
would be next to impossible to teach a linear programming computer
to drive a car, or for a self-driving car to crunch linear
programming problems. It would be analogous to trying to pull an
umbrella through a chain-link fence. With enough enough effort, you
might actually manage it, but you probably wouldn't even call it an
umbrella at that point.



-Melinda



On 11/23/2015 5:13 AM, Chris
">cpw@maine.rr.com [4D_Cubing] wrote:




pe">
The closest thing I ever had
to a religious experience was when I visualized a hypersphere, at
least as much as I'm capable of visualizing anything.=C2=A0 Haven't
been able to duplicate the experience.



So, on the one hand, that's still a "no" because my ability to
visualize is kind of . . . not there.=C2=A0 I've never found the word=
s
to describe what it is like.=C2=A0 It's almost seeing,
but not quite there.=C2=A0 On the other hand, to the extent that I ca=
n
"see" anything in my mind's eye, I did see it that one time.=C2=A0 On
Zaphoid Beeblebrox's third hand, an n-dimensional sphere is always
going to be the easiest thing to visualize.=C2=A0 It looks the same
from every angle so if it isn't textured or colored, there's no
complexity; looking at a sphere is always shows you a circle,
looking at a circle if you're in a 2D environment always shows you
a line of the same length.=C2=A0 Shading is probably different though=
,
otherwise how do you know from a single angle that it's really an
n-sphere not an [n minus 1] sphere?=C2=A0 (E.g. how do you know it's =
a
sphere not a circular disk?)



Combine the simplicity of a hypersphere with the fact that nothing
I "visualize" actually quite reaches the level of real
visualization (I'm in envy of those who can truly visualize) and
we're back to Melinda's answer of, "No."=C2=A0 (Plus it only happened
once.)



It is a bit more complex than simply that we're coded for 3D,
though.=C2=A0 We are, but what that means is more complicated than it
initially sounds.=C2=A0 We don't see in three dimensions.=C2=A0 We se=
e in
two dimensions, twice, from slightly different angles, and use the
differences to determine three dimensional structure.=C2=A0 These day=
s
you can do the same thing with two pictures from different
positions and a computer program, it's called "structure from
motion" (the "motion" being moving the camera from angle one to
angle two, and then probably other angles as well because why stop
at two?)



If you close one eye (or only have the one, or don't have two
working-together normally), though, even though what you're seeing
is a single two dimensional image, you're still seeing three
dimensional objects, and any movement allows the same kind of
difference-to-structure as having the two standard offset eyes
open (though our brains aren't nearly as adept at that compared to
just having two eyes open and working in concert.)



Applying the same principles to four dimensional objects, an eye
evolved for a 4D would return a three dimensional "image" and
you'd use two such 3D viewing eyes, offset of course, to get the
4D structure.=C2=A0 But, as with our 2D viewing eyes, closing one of
them wouldn't mean you're not looking at 4D objects anymore.



So to really visualize in 4D what is needed is to be able to
visualize a 3D space as seen from every possible angle at once=
.
As far as I know, no one can do that.=C2=A0 Might be why my
pseudo-religious mathematical experience was a hypersphere, every
possible angle of a sphere returns "looks like a circle from this
angle too."=C2=A0 But, even with something that simple, I only ever d=
id
it once.=C2=A0 And that's not because of a lack of trying, I simply
can't duplicate the experience.



But if you could, somehow, do that (see 3D from every possible
angle), then it would be the same as 4D viewing without depth
perception.



Seeing in 4D requires seeing in true 3D, and human beings can't
actually do that.=C2=A0 We compare two two dimensional images in a
brain designed to gather depth information from the differences
between them and see in a sort of 2.5-D.=C2=A0 We're not just
hard-coded for a 3D world, we're hard-coded for viewing that world
from a single position (with the only wiggle room being the
distance from one eye to the other, said wiggle room being used to
determine depth.)



- Chris Witham, who has been meaning to say, "Hello," for years>.

=C2=A0 (chris the cynic)



ps Hi everyone.



On 11/22/2015 9:35 PM, class=3D"moz-txt-link-abbreviated"
href=3D"mailto:llamaonacid@gmail.com">llamaonacid@gmail.com

[4D_Cubing] wrote:

>
=C2=A0

Is the human brain capable of actually visualizing
hyperobjects and has anyone here been capable of doing so?




=20=20=20=20=20=20







--------------030305010100080906000500--




From: "Eduard Baumann" <ed.baumann@bluewin.ch>
Date: Tue, 24 Nov 2015 14:12:31 +0100
Subject: Re: [MC4D] Visualizing Hyperobjects



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charset="UTF-8"
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Wow, I like such explanations.
Best regards
Ed

----- Original Message -----=20
From: Melinda Green melinda@superliminal.com [4D_Cubing]=20
To: 4D_Cubing@yahoogroups.com=20
Sent: Tuesday, November 24, 2015 4:38 AM
Subject: Re: [MC4D] Visualizing Hyperobjects


=20=20=20=20
Hello Chris,

I'm glad that you decided to join the discussion!

The closest I've come to truly perceiving something in 4D comes from the =
4D shift-dragging rotation in MC4D. We get so used to seeing these projecti=
ons into 3D that it's easy to forget about their 4D nature. We all know tha=
t that the puzzle consists of eight 3D faces but we forget that they bound =
a rectilinear region of 4-space. It's analogous to how solvers of the 3D tw=
isty puzzles are very aware of the patterns of the stickers on the outside =
of their favorite objects and are only occasionally aware of its volume and=
the mechanism inside it. Looked at this way, the Rubik's cube is really a =
2D puzzle, and MC4D is really only 3D. That gives us plenty of opportunity =
to perceive the true nature of this puzzle, but not of the object itself. T=
he 3D "skin" of this object completely fills my 3D mind, but where is the 4=
D volume that it bounds? When I'm shift-dragging in MC4D I sometimes get gl=
impses into of a kind of finite cubic hollowness, but it quickly vanishes. =
The good thing is that the experience is repeatable.

The only other thing I want to say is that visualization has little to do=
with vision. I'm glad that you pointed out how motion parallax allows ster=
eo vision with only a single eye. One eye should be enough to "see" in any =
number of dimensions, but notice that you can still visualize just fine wit=
hout any eyes. If you close your eyes and think about a model car, you can =
perceive it from any angle just by thinking about it. Actually, that's a tr=
ick that does take some effort, and some people are not very good at it, I =
think because it specifically involves vision. It's the mental equivalent o=
f projecting a 3D object into a 2D picture. The result is that you can only=
look at one projection at a time. Not exactly the "all directions at once"=
you are hoping for.

But consider this. Imagine holding that model car in your hands with your=
eyes closed. You can now be completely aware of all of its features at the=
same time! Even people who were blind from birth are quite able to visuali=
ze in 3D. It's as if we all have a kind of stage inside our minds that we c=
an fill with an awareness of whatever we like, including ourselves. Especia=
lly including ourselves. That's how we measure and judge the distance and s=
peed and potential danger of cars and tigers and such in our environment. I=
t's crucial for most species to have this sort of awareness, and that's why=
it evolved.

As llamaonacid said (what is your name please?), AI can be programmed to =
do similar things in any number of dimensions. It's helpful to realize that=
computers and software also evolve. Their evolution is not driven by natur=
al selection, but market forces still drive a very real form of evolution. =
In all cases, evolution is a form of optimization towards various goals whe=
re only the fittest survive. Evolution requires goals. We evolved over bill=
ions of years to survive in a 3D world, so that's not just what we're good =
at, it's also a large part of what we are. Computers are evolving against s=
ome very different goals. One of the biggest uses of computer power today i=
s in the linear programming field of resource allocation. These systems nat=
urally deal with objects involving millions of dimensions, and have gotten =
very good at it. I can imagine a future in which they become self-aware, bu=
t I can't imagine how I could ever become like them, or how they could beco=
me like me, because we are simply evolved for different things. I can on th=
e other hand imagine something about the lives of future robots and self-dr=
iving cars, because they are evolving to function in some of the same envir=
onments in which we evolved. Notice also how it would be next to impossible=
to teach a linear programming computer to drive a car, or for a self-drivi=
ng car to crunch linear programming problems. It would be analogous to tryi=
ng to pull an umbrella through a chain-link fence. With enough enough effor=
t, you might actually manage it, but you probably wouldn't even call it an =
umbrella at that point.

-Melinda



On 11/23/2015 5:13 AM, Chris cpw@maine.rr.com [4D_Cubing] wrote:

The closest thing I ever had to a religious experience was when I visua=
lized a hypersphere, at least as much as I'm capable of visualizing anythin=
g. Haven't been able to duplicate the experience.

So, on the one hand, that's still a "no" because my ability to visualiz=
e is kind of . . . not there. I've never found the words to describe what =
it is like. It's almost seeing, but not quite there. On the other hand, t=
o the extent that I can "see" anything in my mind's eye, I did see it that =
one time. On Zaphoid Beeblebrox's third hand, an n-dimensional sphere is a=
lways going to be the easiest thing to visualize. It looks the same from e=
very angle so if it isn't textured or colored, there's no complexity; looki=
ng at a sphere is always shows you a circle, looking at a circle if you're =
in a 2D environment always shows you a line of the same length. Shading is=
probably different though, otherwise how do you know from a single angle t=
hat it's really an n-sphere not an [n minus 1] sphere? (E.g. how do you kn=
ow it's a sphere not a circular disk?)

Combine the simplicity of a hypersphere with the fact that nothing I "v=
isualize" actually quite reaches the level of real visualization (I'm in en=
vy of those who can truly visualize) and we're back to Melinda's answer of,=
"No." (Plus it only happened once.)

It is a bit more complex than simply that we're coded for 3D, though. =
We are, but what that means is more complicated than it initially sounds. =
We don't see in three dimensions. We see in two dimensions, twice, from sl=
ightly different angles, and use the differences to determine three dimensi=
onal structure. These days you can do the same thing with two pictures fro=
m different positions and a computer program, it's called "structure from m=
otion" (the "motion" being moving the camera from angle one to angle two, a=
nd then probably other angles as well because why stop at two?)

If you close one eye (or only have the one, or don't have two working-t=
ogether normally), though, even though what you're seeing is a single two d=
imensional image, you're still seeing three dimensional objects, and any mo=
vement allows the same kind of difference-to-structure as having the two st=
andard offset eyes open (though our brains aren't nearly as adept at that c=
ompared to just having two eyes open and working in concert.)

Applying the same principles to four dimensional objects, an eye evolve=
d for a 4D would return a three dimensional "image" and you'd use two such =
3D viewing eyes, offset of course, to get the 4D structure. But, as with o=
ur 2D viewing eyes, closing one of them wouldn't mean you're not looking at=
4D objects anymore.

So to really visualize in 4D what is needed is to be able to visualize =
a 3D space as seen from every possible angle at once. As far as I know, no =
one can do that. Might be why my pseudo-religious mathematical experience =
was a hypersphere, every possible angle of a sphere returns "looks like a c=
ircle from this angle too." But, even with something that simple, I only e=
ver did it once. And that's not because of a lack of trying, I simply can'=
t duplicate the experience.

But if you could, somehow, do that (see 3D from every possible angle), =
then it would be the same as 4D viewing without depth perception.

Seeing in 4D requires seeing in true 3D, and human beings can't actuall=
y do that. We compare two two dimensional images in a brain designed to ga=
ther depth information from the differences between them and see in a sort =
of 2.5-D. We're not just hard-coded for a 3D world, we're hard-coded for v=
iewing that world from a single position (with the only wiggle room being t=
he distance from one eye to the other, said wiggle room being used to deter=
mine depth.)

- Chris Witham, who has been meaning to say, "Hello," for years.
(chris the cynic)

ps Hi everyone.

On 11/22/2015 9:35 PM, llamaonacid@gmail.com [4D_Cubing] wrote:

=20=20=20=20=20=20=20=20
Is the human brain capable of actually visualizing hyperobjects and h=
as anyone here been capable of doing so?





=20=20
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charset="UTF-8"
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=EF=BB=BF




Wow, I like such explanations.>
Best regards

Ed

 

style=3D"BORDER-LEFT: #000000 2px solid; PADDING-LEFT: 5px; PADDING-RIGHT: =
0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px">
----- Original Message -----

style=3D"FONT: 10pt arial; BACKGROUND: #e4e4e4; font-color: black">Fro=
m:
=20
href=3D"mailto:melinda@superliminal.com [4D_Cubing]">Melinda Green=20
melinda@superliminal.com [4D_Cubing]

To: ps.com=20
href=3D"mailto:4D_Cubing@yahoogroups.com">4D_Cubing@yahoogroups.com
<=
/DIV>
Sent: Tuesday, November 24, 2015 4=
:38=20
AM

Subject: Re: [MC4D] Visualizing=20
Hyperobjects


 =20

Hello Chris,

I'm glad that you decided to join the=20
discussion!

The closest I've come to truly perceiving something in=
4D=20
comes from the 4D shift-dragging rotation in MC4D. We get so used to seei=
ng=20
these projections into 3D that it's easy to forget about their 4D nature.=
We=20
all know that that the puzzle consists of eight 3D faces but we forget th=
at=20
they bound a rectilinear region of 4-space. It's analogous to how solvers=
of=20
the 3D twisty puzzles are very aware of the patterns of the stickers on t=
he=20
outside of their favorite objects and are only occasionally aware of its=
=20
volume and the mechanism inside it. Looked at this way, the Rubik's cube =
is=20
really a 2D puzzle, and MC4D is really only 3D. That gives us plenty of=20
opportunity to perceive the true nature of this puzzle, but not of the ob=
ject=20
itself. The 3D "skin" of this object completely fills my 3D mind, but whe=
re is=20
the 4D volume that it bounds? When I'm shift-dragging in MC4D I sometimes=
get=20
glimpses into of a kind of finite cubic hollowness, but it quickly vanish=
es.=20
The good thing is that the experience is repeatable.

The only othe=
r=20
thing I want to say is that visualization has little to do with vision. I=
'm=20
glad that you pointed out how motion parallax allows stereo vision with o=
nly a=20
single eye. One eye should be enough to "see" in any number of dimensions=
, but=20
notice that you can still visualize just fine without any eyes. If you cl=
ose=20
your eyes and think about a model car, you can perceive it from any angle=
just=20
by thinking about it. Actually, that's a trick that does take some effort=
, and=20
some people are not very good at it, I think because it specifically invo=
lves=20
vision. It's the mental equivalent of projecting a 3D object into a 2D=20
picture. The result is that you can only look at one projection at a time=
. Not=20
exactly the "all directions at once" you are hoping for.

But consi=
der=20
this. Imagine holding that model car in your hands with your eyes closed.=
You=20
can now be completely aware of all of its features at the same time! Even=
=20
people who were blind from birth are quite able to visualize in 3D. It's =
as if=20
we all have a kind of stage inside our minds that we can fill with an=20
awareness of whatever we like, including ourselves. Especially including=
=20
ourselves. That's how we measure and judge the distance and speed and=20
potential danger of cars and tigers and such in our environment. It's cru=
cial=20
for most species to have this sort of awareness, and that's why it=20
evolved.

As llamaonacid said (what is your name please?), AI can b=
e=20
programmed to do similar things in any number of dimensions. It's helpful=
to=20
realize that computers and software also evolve. Their evolution is not d=
riven=20
by natural selection, but market forces still drive a very real form of=20
evolution. In all cases, evolution is a form of optimization towards vari=
ous=20
goals where only the fittest survive. Evolution requires goals. We evolve=
d=20
over billions of years to survive in a 3D world, so that's not just what =
we're=20
good at, it's also a large part of what we are. Computers are evolving ag=
ainst=20
some very different goals. One of the biggest uses of computer power toda=
y is=20
in the linear programming field of resource allocation. These systems=20
naturally deal with objects involving millions of dimensions, and have go=
tten=20
very good at it. I can imagine a future in which they become self-aware, =
but I=20
can't imagine how I could ever become like them, or how they could become=
like=20
me, because we are simply evolved for different things. I can on the othe=
r=20
hand imagine something about the lives of future robots and self-driving =
cars,=20
because they are evolving to function in some of the same environments in=
=20
which we evolved. Notice also how it would be next to impossible to teach=
a=20
linear programming computer to drive a car, or for a self-driving car to=
=20
crunch linear programming problems. It would be analogous to trying to pu=
ll an=20
umbrella through a chain-link fence. With enough enough effort, you might=
=20
actually manage it, but you probably wouldn't even call it an umbrella at=
that=20
point.

-Melinda


On 11/23/2015 5:13 AM, Chris class=3Dmoz-txt-link-abbreviated=20
href=3D"mailto:cpw@maine.rr.com">cpw@maine.rr.com [4D_Cubing]=20
wrote:

The cl=
osest=20
thing I ever had to a religious experience was when I visualized a=20
hypersphere, at least as much as I'm capable of visualizing anything.&n=
bsp;=20
Haven't been able to duplicate the experience.

So, on the one ha=
nd,=20
that's still a "no" because my ability to visualize is kind of . . . no=
t=20
there.  I've never found the words to describe what it is=20
like.  It's almost seeing, but not quite there.  On th=
e=20
other hand, to the extent that I can "see" anything in my mind's eye, I=
did=20
see it that one time.  On Zaphoid Beeblebrox's third hand, an=20
n-dimensional sphere is always going to be the easiest thing to=20
visualize.  It looks the same from every angle so if it isn't text=
ured=20
or colored, there's no complexity; looking at a sphere is always shows =
you a=20
circle, looking at a circle if you're in a 2D environment always shows =
you a=20
line of the same length.  Shading is probably different though,=20
otherwise how do you know from a single angle that it's really an n-sph=
ere=20
not an [n minus 1] sphere?  (E.g. how do you know it's a sphere no=
t a=20
circular disk?)

Combine the simplicity of a hypersphere with the=
fact=20
that nothing I "visualize" actually quite reaches the level of real=20
visualization (I'm in envy of those who can truly visualize) and we're =
back=20
to Melinda's answer of, "No."  (Plus it only happened once.)
R>It=20
is a bit more complex than simply that we're coded for 3D, though. =
; We=20
are, but what that means is more complicated than it initially sounds.&=
nbsp;=20
We don't see in three dimensions.  We see in two dimensions, twice=
,=20
from slightly different angles, and use the differences to determine th=
ree=20
dimensional structure.  These days you can do the same thing with =
two=20
pictures from different positions and a computer program, it's called=20
"structure from motion" (the "motion" being moving the camera from angl=
e one=20
to angle two, and then probably other angles as well because why stop a=
t=20
two?)

If you close one eye (or only have the one, or don't have =
two=20
working-together normally), though, even though what you're seeing is a=
=20
single two dimensional image, you're still seeing three dimensional obj=
ects,=20
and any movement allows the same kind of difference-to-structure as hav=
ing=20
the two standard offset eyes open (though our brains aren't nearly as a=
dept=20
at that compared to just having two eyes open and working in=20
concert.)

Applying the same principles to four dimensional objec=
ts,=20
an eye evolved for a 4D would return a three dimensional "image" and yo=
u'd=20
use two such 3D viewing eyes, offset of course, to get the 4D=20
structure.  But, as with our 2D viewing eyes, closing one of them=
=20
wouldn't mean you're not looking at 4D objects anymore.

So to re=
ally=20
visualize in 4D what is needed is to be able to visualize a 3D space >as=20
seen from every possible angle at once
. As far as I know, no one ca=
n do=20
that.  Might be why my pseudo-religious mathematical experience wa=
s a=20
hypersphere, every possible angle of a sphere returns "looks like a cir=
cle=20
from this angle too."  But, even with something that simple, I onl=
y=20
ever did it once.  And that's not because of a lack of trying, I s=
imply=20
can't duplicate the experience.

But if you could, somehow, do th=
at=20
(see 3D from every possible angle), then it would be the same as 4D vie=
wing=20
without depth perception.

Seeing in 4D requires seeing in true 3=
D,=20
and human beings can't actually do that.  We compare two two=20
dimensional images in a brain designed to gather depth information from=
the=20
differences between them and see in a sort of 2.5-D.  We're not=20
just hard-coded for a 3D world, we're hard-coded for viewing tha=
t=20
world from a single position (with the only wiggle room being the dista=
nce=20
from one eye to the other, said wiggle room being used to determine=20
depth.)

- Chris Witham, who has been meaning to say, "Hello," fo=
r=20
years.
  (chris the cynic)

ps Hi everyone.
>On=20
11/22/2015 9:35 PM, href=3D"mailto:llamaonacid@gmail.com" moz=3D"true">llamaonacid@gmail.co=
m
=20
[4D_Cubing] wrote:

type=3D"cite"> =20

Is the human brain capable of actually visualizing hyperobjects an=
d has=20
anyone here been capable of doing so?






------=_NextPart_000_004C_01D126C2.28894250--




From: llamaonacid@gmail.com
Date: 24 Nov 2015 09:50:46 -0800
Subject: Re: [MC4D] Visualizing Hyperobjects




From: llamaonacid@gmail.com
Date: 25 Nov 2015 11:47:30 -0800
Subject: Re: [MC4D] Visualizing Hyperobjects




From: llamaonacid@gmail.com
Date: Wed, 25 Nov 2015 12:40:35 -0800
Subject: Re: [MC4D] Visualizing Hyperobjects



--------------080108010809060704050908
Content-Type: text/plain; charset=utf-8; format=flowed
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You don't need evidence for what is possible in future AI. Evolution is
endlessly clever. What I think we should not do is assume that something
evolved for one purpose can be easily repurposed to be good at something
else. I don't doubt that Rucker had some interesting experiences in the
direction of 4D visualization, but I think that labeling it as such is a
stretch and even a disservice. My guess is that a better term for his
experience is "intuition".

On 11/25/2015 11:47 AM, llamaonacid@gmail.com [4D_Cubing] wrote:
>
>
> It looks to me that smart people are skeptical and careful to make
> claims. That is good. I don't think I have evidence to support my
> claim that future AI will be able to live in environment with higher
> dimensions. My premise is that everything is information so there is
> no limit to the dimensions AI would be able to visualize. I don't know
> about humans though. In the book The Fourth Dimension, Rucker mentions
> he was able to visualize 15 minutes of 4D space in 15 years. I don't
> know how close he was from actually visualizing higher dimensions. I
> can only understand some concepts and that is okay with me.
>
> __._,_.__


--------------080108010809060704050908
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You don't need evidence for what is possible in future AI. Evolution
is endlessly clever. What I think we should not do is assume that
something evolved for one purpose can be easily repurposed to be
good at something else. I don't doubt that Rucker had some
interesting experiences in the direction of 4D visualization, but I
think that labeling it as such is a stretch and even a disservice.
My guess is that a better term for his experience is "intuition".



On 11/25/2015 11:47 AM,
llamaonacid@gmail.com [4D_Cubing] wrote:





It looks to me that smart people are skeptical and careful to make
claims. That is good. I don't think I have evidence to support my
claim that future AI will be able to live in environment with
higher dimensions. My premise is that everything is information so
there is no limit to the dimensions AI would be able to visualize.
I don't know about humans though. In the book The Fourth
Dimension, Rucker mentions he was able to visualize 15 minutes of
4D space in 15 years. I don't know how close he was from actually
visualizing higher dimensions. I can only understand some concepts
and that is okay with me.

__._,_.__







--------------080108010809060704050908--




From: andreyastrelin@yahoo.com
Date: 26 Nov 2015 20:51:07 -0800
Subject: Re: Visualizing Hyperobjects




From: andreyastrelin@yahoo.com
Date: 27 Nov 2015 08:43:54 -0800
Subject: Re: Visualizing Hyperobjects




From: Melinda Green <melinda@superliminal.com>
Date: Fri, 27 Nov 2015 16:56:39 -0800
Subject: Re: [MC4D] Re: Visualizing Hyperobjects



--------------040908070604070403010609
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Hello Andrey,

I think I get your point about 5D. Since all of the important
information in MC4D is 3D (the surface of a 4D object), we are not
really doing 4D visualization, but with MC5D, we really do need to deal
with 4D. Perhaps that's why I never got a good sense for how to deal
with the 5D puzzle, though in fairness, I never spent much time with it.
I get the sense that for 5D and above we really need to just abandon any
hope of visualizing anything.

What do you think? As one of our brightest puzzle makers and solvers,
your experience on the subject should be invaluable. Have you had any
experiences that you could call true 4D visualization beyond just a
strong intuition?

-Melinda

On 11/26/2015 8:51 PM, andreyastrelin@yahoo.com [4D_Cubing] wrote:
>
>
> There is very good program that visualize 4D objects as 4D-people see
> them: urticator.net - Version 6
> It shows 3D projection of 4D scene as set of line segments -
> 4D-visible edges of objects in scene. In stereo mode you can see all
> edges, so 2D screen doesn't give any problem. Main problem is to
> understand what you see and why. If you have enough time, there is a
> chance to develop some understanding of 4D space as it is.
> BTW, you see 4D scene in MC5D, right?
> Andrey


--------------040908070604070403010609
Content-Type: text/html; charset=utf-8
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">


Hello Andrey,



I think I get your point about 5D. Since all of the important
information in MC4D is 3D (the surface of a 4D object), we are not
really doing 4D visualization, but with MC5D, we really do need to
deal with 4D. Perhaps that's why I never got a good sense for how to
deal with the 5D puzzle, though in fairness, I never spent much time
with it. I get the sense that for 5D and above we really need to
just abandon any hope of visualizing anything.



What do you think? As one of our brightest puzzle makers and
solvers, your experience on the subject should be invaluable. Have
you had any experiences that you could call true 4D visualization
beyond just a strong intuition?



-Melinda



On 11/26/2015 8:51 PM,
ahoo.com">andreyastrelin@yahoo.com [4D_Cubing] wrote:





There is very good program that visualize 4D objects as 4D-people
see them: target=3D"_blank" href=3D"http://www.urticator.net/blocks/v6/">urti=
cator.net
- Version 6

=C2=A0It shows 3D projection of 4D=C2=A0scene as set of line seg=
ments -
4D-visible edges of=C2=A0objects in scene. In stereo mode you can s=
ee
all edges, so 2D screen doesn't give=C2=A0any problem. Main problem
is=C2=A0to understand what you see and why. If you have enough time=
,
there is a chance to=C2=A0develop some understanding of 4D space as
it is.

BTW, you see 4D scene in MC5D, right?

Andrey








--------------040908070604070403010609--




From: andreyastrelin@yahoo.com
Date: 29 Nov 2015 12:19:18 -0800
Subject: Re: [MC4D] Re: Visualizing Hyperobjects




From: llamaonacid@gmail.com
Date: 30 Nov 2015 07:48:51 -0800
Subject: Re: [MC4D] Re: Visualizing Hyperobjects




From: llamaonacid@gmail.com
Date: Mon, 30 Nov 2015 16:28:28 -0800
Subject: Re: [MC4D] Re: Visualizing Hyperobjects



--------------040806090102060906000108
Content-Type: text/plain; charset=utf-8; format=flowed
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It can't be the case that every universe has a random number of
dimensions because it's impossible to select a random number out of an
infinite range. No matter what number you choose, it will always be
close to zero, and therefore isn't random. I don't know about orbital
mechanics in other dimensions but wouldn't be surprised if higher
dimensions can't support planets, though all they need to do is support
*any* type of environment rich enough for evolution to operate in to
support life. Who knows what might happen in dynamically twisting
magnetic fields, surfaces of neutron stars, etc. My hunch is that for
chemical life at least, 3 dimensions is special because of how badly
spheres pack. That may provide the dynamic richness needed, whereas in
4D, molecules might favor crystals too much to support life.

I *really* like Vasily's description of 3D sense organs. It grasps what
I was saying about sensing with our hands and goes on to explain the
problems that happen when 3D projections are too large or too small. His
description of 4D viewing direction is especially interesting. When I
grok a 3D object, it is not from any particular viewing direction, but
there is a 4D viewpoint that generated our 3D projections, and that's
clearly important. He's definitely on to something there.

-Melinda

On 11/30/2015 7:48 AM, llamaonacid@gmail.com [4D_Cubing] wrote:
>
>
> I understand your point. A 4D being would see volume just like we see
> area. We need to move to see the back of a 3D object but a 4D being
> would see all the 3D object all at once. That is what Melinda means
> when she says "from every angle". If I am not mistaken in 4D an
> individual without moving would see up to 4 cells of a 4-cube and 60
> cells of a 120-cell.
>
> I wonder why our universe have a few spacial dimensions. In math you
> can have anything from zero to infinite spacial dimensions. I do not
> think it is impossible that there is a multiverse with infinite
> universe and all universes have a random amount of spacial dimensions.
> I think there would be a "Goldilocks Zone" when it comes to the amount
> of spacial dimensions an universe that can support life have. Few
> spacial dimensions like one or two and it might be impossible for the
> universe to have life. A vast amount of spacial dimensions and life
> would have a difficult time processing all the visual information. A
> while back I saw a MinutePhysics where it basically says that planets
> would not be able to orbit the sun if there were more or less than 3
> spacial dimensions. Maybe that is why we have only 3 spacial dimensions.


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It can't be the case that every universe has a random number of
dimensions because it's impossible to select a random number out of
an infinite range. No matter what number you choose, it will always
be close to zero, and therefore isn't random. I don't know about
orbital mechanics in other dimensions but wouldn't be surprised if
higher dimensions can't support planets, though all they need to do
is support *any* type of environment rich enough for evolution to
operate in to support life. Who knows what might happen in
dynamically twisting magnetic fields, surfaces of neutron stars,
etc. My hunch is that for chemical life at least, 3 dimensions is
special because of how badly spheres pack. That may provide the
dynamic richness needed, whereas in 4D, molecules might favor
crystals too much to support life.



I *really* like Vasily's description of 3D sense organs. It grasps
what I was saying about sensing with our hands and goes on to
explain the problems that happen when 3D projections are too large
or too small. His description of 4D viewing direction is especially
interesting. When I grok a 3D object, it is not from any particular
viewing direction, but there is a 4D viewpoint that generated our 3D
projections, and that's clearly important. He's definitely on to
something there.



-Melinda



On 11/30/2015 7:48 AM,
llamaonacid@gmail.com [4D_Cubing] wrote:





I understand your point. A 4D being would see volume just like we
see area. We need to move to see the back of a 3D object but a 4D
being would see all the 3D object all at once. That is what
Melinda means when she says "from every angle". If I am not
mistaken in 4D an individual without moving would see up to 4
cells of a 4-cube and 60 cells of a 120-cell.



I wonder why our universe have a few spacial dimensions. In math
you can have anything from zero to infinite spacial dimensions. I
do not think it is impossible that there is a multiverse with
infinite universe and all universes have a random amount of
spacial dimensions. I think there would be a "Goldilocks Zone"
when it comes to the amount of spacial dimensions an universe that
can support life have. Few spacial dimensions like one or two and
it might be impossible for the universe to have life. A vast
amount of spacial dimensions and life would have a difficult time
processing all the visual information. A while back I saw a
MinutePhysics where it basically says that planets would not be
able to orbit the sun if there were more or less than 3 spacial
dimensions. Maybe that is why we have only 3 spacial dimensions.







--------------040806090102060906000108--




From: andreyastrelin@yahoo.com
Date: 30 Nov 2015 21:51:37 -0800
Subject: Re: [MC4D] Re: Visualizing Hyperobjects




From: andreyastrelin@yahoo.com
Date: Tue, 1 Dec 2015 00:24:33 -0800
Subject: Re: [MC4D] Re: Visualizing Hyperobjects



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On 11/30/2015 9:51 PM, andreyastrelin@yahoo.com [4D_Cubing] wrote:
>
>
> I'm not very sure that universe should have any number of "dimensions"
> at all. Our universe looks like 3D+1D manifold (at least at large
> scale, from femtometers and up), but why any universe should be like
> this? Mimosa vacuum from Egan's "Schild's Ladder" shows how life can
> look in the regular graph. 5D world in "Diaspora" is nice attempt to
> describe physics, chemistry and life in the universe without planets...

I am suspicious about the true dimensional nature of our universe. I've
not read Schild's Ladder but I do love everything I've read from Egan.
(Especially Permutation City which I encourage everyone to read.) The
fact that no time passes for photons in flight suggests that the moment
photons leave their source is the same that that they are absorbed, so
either there's no space or no free will at least. But the real clue is
quantum entanglement which suggests the possibility that both particles
in an entangled pair are really just different views of the same object,
and space itself is far from being the simple stage we perceive it to be.

> As for 4D visualization, it's much more easy to imagine 4D scene as
> it is, without visual details and extract features that you need now.
> My favorite example of 4D scene is a house surrounded by spherical
> hedge, with hexagonal gates, with small doghouse and 6-legged dog
> (that needs spherical collar because ring is easily slips from the
> neck), house is near the highway (and I know details of driving lanes
> and exit/entry structure). And I have a design of t he car too...
> Door is the middle of the cubic wall? No problem. Garage in the
> corner, diagonally from the door? Okay. I see the entrance from the
> outside and I know what part of 3D floor plan of the house is occupied
> by the garage. Some problem is with the roof (it's {3,4} duoprism -
> not the best object to imagine).
> Main thing that you have to understand when work with 4D views - is
> that "forward" direction is not from the closest side of view area (as
> you see in 3D) to the far side, but from the bottom to the center.
> When you go forward you see scene expanding from the center (and
> disappearing at the boundary). When you follow the road, you see it
> going from the bottom of your view area, it goes up to the center if
> it is straight or somewhere to side (may be even to "front side" of
> view) if there is a turn.
> Actually it is very easy. But you have to spend some time with thes
> e scenes to understand them.

Wow, what a great description, Andrey!
I think you should contact Marc ten Bosch and offer to build this scene
into Miegakure. The tricky thing would be to design it such that all of
the 3D orthogonal slices of each element always resembles its familiar
form. I especially want to see that dog!

-Melinda

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">






On 11/30/2015 9:51 PM,
ahoo.com">andreyastrelin@yahoo.com [4D_Cubing] wrote:





I'm not very sure that universe should have any number of
"dimensions" at all. Our universe looks like 3D+1D manifold (at
least at large scale, from femtometers and up), but why any
universe should be like this? Mimosa vacuum from
Egan's=C2=A0=C2=A0"Schild's Ladder"=C2=A0shows how life can look in=
=C2=A0the=C2=A0regular
graph. 5D=C2=A0world in=C2=A0"Diaspora" is nice attempt to describe
physics, chemistry=C2=A0and life=C2=A0in the universe without plane=
ts...




I am suspicious about the true dimensional nature of our universe.
I've not read Schild's Ladder but I do love everything I've read
from Egan. (Especially Permutation City which I encourage everyone
to read.) The fact that no time passes for photons in flight
suggests that the moment photons leave their source is the same that
that they are absorbed, so either there's no space or no free will
at least. But the real clue is quantum entanglement which suggests
the possibility that both particles in an entangled pair are really
just different views of the same object, and space itself is far
from being the simple stage we perceive it to be.




=C2=A0 As for 4D visualization, it's much more easy to imagine 4=
D
scene as it is, without visual details and extract features that
you need now. My favorite example of 4D scene is a house
surrounded by spherical hedge, with hexagonal gates, with small
doghouse and 6-legged dog (that needs spherical collar because
ring is easily slips from the neck), house is near the highway
(and I know details of driving lanes and exit/entry structure).
And I have a design of t he car too...

=C2=A0 Door is the middle of the cubic wall? No problem. Garage =
in
the corner, diagonally from the door? Okay. I see the entrance
from the outside and I know what part of 3D floor plan of the
house is occupied by the garage. Some problem is with the roof
(it's {3,4} duoprism - not the best object to imagine).=C2=A0=C2=A0=

=C2=A0 Main thing that you have to understand when work with 4D
views - is that "forward" direction is not from the closest side
of view area (as you see in 3D) to the far side, but from the
bottom to the center. When you go forward you see scene
expanding from the center (and disappearing at the boundary).
When you follow the road, you see it going from the bottom of
your view area, it goes up to the center if it is straight or
somewhere to side (may be even to=C2=A0"front side" of view) if=C2=
=A0there
is a=C2=A0turn.

=C2=A0 Actually it is very easy. But you have to spend some time
with thes e scenes to understand them.





Wow, what a great description, Andrey!

I think you should contact Marc ten Bosch and offer to build this
scene into Miegakure. The tricky thing would be to design it such
that all of the 3D orthogonal slices of each element always
resembles its familiar form. I especially want to see that dog!



-Melinda




--------------050700040500020000040207--




From: llamaonacid@gmail.com
Date: 01 Dec 2015 15:50:28 -0800
Subject: Re: [MC4D] Re: Visualizing Hyperobjects




From: llamaonacid@gmail.com
Date: 01 Dec 2015 20:21:30 -0800
Subject: Re: [MC4D] Re: Visualizing Hyperobjects




From: llamaonacid@gmail.com
Date: 02 Dec 2015 04:45:12 -0800
Subject: Re: Visualizing Hyperobjects




From: andreyastrelin@yahoo.com
Date: Mon, 7 Dec 2015 03:03:47 -0800
Subject: Re: Visualizing Hyperobjects



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A manifold is a smooth surface.
Please try looking things up before asking.

On 12/6/2015 9:16 PM, llamaonacid@gmail.com [4D_Cubing] wrote:
>
>
> I sort of have an idea...


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A manifold is a smooth surface.

Please try looking things up before asking.



On 12/6/2015 9:16 PM,
llamaonacid@gmail.com [4D_Cubing] wrote:





I sort of have an idea...







--------------030204000805030903030107--




From: llamaonacid@gmail.com
Date: 27 Nov 2015 21:26:15 -0800
Subject: Re: [MC4D] Re: Visualizing Hyperobjects




From: llamaonacid@gmail.com
Date: 09 Dec 2015 10:00:33 -0800
Subject: Re: [MC4D] Re: Visualizing Hyperobjects





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