Re: Theos-World IS IMAGINATION THREE DIMENSIONAL?
Jan 29, 2005 04:36 PM
by leonmaurer
In a message dated 01/27/05 12:36:20 AM, silva_cass@yahoo.com writes:
>Dear Leon
>A couple more questions
>Cass
>
>leonmaurer@aol.com wrote:
>
>
>Dear Cass,
>
>All we have to do is make a mental rotation of
>the 2-D image in our mind's eye and then look at it from any angle we want
>to -- including from the back side
>
>======================================================
>
>So its a little bit like imagining the spinning of a rolling numberless
>dice in the air - in slow motion. Starting with a four sided non-solid
>object, mentally expanding and contracting the dice to form a six sided
>object, etc etc. Don't know the geometrical terms for the various shapes
>but I think I have got the idea.
That's one way of doing it. You can also imagine the form as transparent,
and thus can connect its points and surfaces with lines and planes to create an
internal form that is a fractal analog of the outer form. If you repeat this
you can visualize as many hyperspace dimensions, enfolded one within the other
like Chinese boxes as your mind can imagine.
The first internal box connected to the outer one would be a 4th dimensional
"tesseract," the next inner one makes it a 5th dimensional object, and so on
until the seventh (which is about all I can imagine :-) Incidentally, try
folding a letter sheet in half 7 times. Also, draw a pencil line about 6 inches
long and see how many times you can mark it by dividing it in half, and then the
next segment in half until you reach the end. Unfortunately, our visual
imagination is limited by the gross atomic nature of the world we live in.
(Although out intuitive or subjective imagination knows no such limitations.)
>. People with great mechanical aptitude or
>artistic talent do this automatically. Anyone who tries this and practices
until
>they can easily draw any object from the same 3-D angle they see it in
>their mind, will be born with that "talent" in their next life. It's not much
>different from learning to ride a bicycle -- which the brain-body doesn't
>forget (at least during this lifetime). However, the mind, especially its
higher
>aspects of intuitive memory, never forgets. Although, to be an adept artist
>in a new body, it will take practice in training the new brain to improve the
>skill and teach it how to coordinate the eye with the hand so the action
>becomes automatic. Incidentally, the same process works with sound and
>skilled musicianship.
>
>================================================
>
>Is this like hearing the individual instruments singularly yet at the same
>time retaining the tune?
Right.
By remembering hearing it before, I can hear a symphony orchestra piece in my
mind's ear, and can separate the sounds of individual instruments. Most
musicians and composers can do that, as well as create original music in their
mind and then, play it as well as write it down in musical notation.
>With dance, I can in my minds eye, dance like Nijinsky. Next lifetime I
>am definitely going to be a performer of some kind. As a child, when my
>mother was at work, I would dance from sofa to chair to floor to sofa like
>a whirling dervish! What a sight I must have been.
Which proves that you have an active imagination... Then, all you need in
your next life is a healthy body and enough practice to become whatever you can
imagine.
>BTW, such visualization practice also teaches us to recognize that the
>consciousness or spirit is separate from what it sees or experiences, and
>is one of the most important aspects of meditation practice that leads to
self
>realization or enlightenment.
>
>======================================================
>
>I have never been particularly good at Meditation, however, when I played
>Sport, the moment I was on the court, it was as if nothing else existed
>accept me and the Ball, I didn't hear the spectators, the coach, the other
>players, I was in a zone of my own. I don't know if this is what meditation
>is, but I was only aware of myself and I could intuit every pass, etc.,
coming
>from the opposing team. The same thing applied when scoring, I knew the
>ball would be successfully put in the basket. My score rate was something
>like 98% and if I missed I would usually get the rebound and sink it.
>Enough ruminating. I tried to teach this to my other daughter, Kate, but
>wasn't able to. Enough ruminating.
Meditation is simply concentration of the mind on a single point of attention
for an extended period of time. When such concentration is focussed on the
ball, the body, and the target in any sport so as to achieve perfection in any
action -- that is the essence of meditation.
Such concentration can also be applied when meditating solely on an image in
the mind when all the outer senses are quieted -- which can easily be
initiated by combining such mental concentration on the breathing, the heartbeat, or
the flickering of a candle flame, etc. Once the mind is so concentrated that
only a single thought or idea can be held for continued introspection, one can
proceed to meditate on anything one chooses, for as long as necessary to fully
comprehend all that thought's or idea's aspects -- from its noumena to its
phenomena.
>(Vide, Patanjali's Yoga Aphorisms.) The trick there is to
>advance visualization to such a state that one can see beyond 3-D into the
>higher fractal dimensions -- such as symbolically pictured in my chakrafield
>diagrams:
>http://users.aol.com/uniwldarts/uniworld.artisans.guild/chakrafield.html
>http://users.aol.com/leonmaurer/invlutionflddiagnotate.gif
>
>===================================================
>
>I have looked at these and your 3D pictures and find that if I look too
>long I get a brain pain, do you think it is because I am forcing centres
>to open that like to remain closed. Should I persevere?
That brain pain is only in your mind. All you have to do is substitute that
thought for an idea or imagination that you wish to examine in concentrated
detail. If you hold those 3-D images in your mind and focus its concentration
on one detail or another (such as watching them rotate or transform, while
considering their essence rather than their objectivity) you will find that with
perseverance, the ideation's or other possibilities of understanding their
nature (that such concentration automatically brings up) will become so intriguing
as to eliminate all other thoughts from the mind -- including any sensations
of pain or other distractions.
The ultimate idea is just to watch and understand, and not try to change any
thoughts that might come up for consideration. Thus one idea will lead to
another without any influence on the part of the observer.
This, is how one learns to separate the consciousness from the objects of
consciousness -- to eventually result, after long practice of such concentrated
attention, in ultimate "enlightenment" (i.e., one becomes the zero-point
itself) -- which gives one "self realization" -- along with (becoming the *inside*
and cause of the spinergy itself) the knowledge and wisdom of the essence of
all things or beings, one's causal relationship to them (including their
control if necessary) and the means to exist among them with perfect equanimity and
tranquility no matter what the circumstances... Just so long as you avoid the
influence of drugs or other mind bending or physically debilitating
substances. (Although sometimes its difficult to practice what I preach. :-)
>You might also be interested in seeing how the fractal spherical geometry
>and the fractal regular polygon (octahedron) geometry interrelate -- by
>meditating on these 3-D images:
>http://users.aol.com/leonmaurer/UNIOMNIFORMexploded.gif
>
>===================================================
>
>logically I think I get this, the point fractures into a million bits and
>then the bits refracture back to the point. The Point becomes the Circle,
>the Circle becomes the Point.
... Ad infinitum.
You've got it.
Now do it -- watch it -- and, be it.
Best wishes,
Leon
>Ciao
>
>Cass
>Best wishes,
>Leon
>
>In a message dated 01/24/05 10:08:08 PM, silva_cass@yahoo.com writes:
>
>>
>>Dear Leon
>>Had fun with the Tesseract 4, and notice that it reduces to two dimensions.
>> My daughter draws in 3D, when I asked her how she did it, she says she
>>sees everything from above or outside of the image, as if looking down
>>on it.
>>Cass
>>
>>leonmaurer@aol.com wrote:
>>
>>
>>In a message dated 01/19/05 7:03:22 AM, silva_cass@yahoo.com writes:
>>
>>>That is my question.
>>>Cass
>>
>>Depends on what you are capable of imagining -- based on how well developed
>>is your power of imagination.
>>
>>I could imagine in 3D and color since I was a young child. It started me
>>drawing in 3D and perfect perspective (that amazed my family and teachers)
>>before I was 7 years old. Most of the students I met, when I studied art in
>>my teens at a special school for talented children, also had that
capability.
>>Some of us could even draw in 3D from our imagination and even with our eyes
>>closed or not looking at the paper. (In fact, that was one of the tests for
entry
>>into that school.) Such a skill came so naturally to me, that I couldn't
>>imagine that anyone else couldn't do it -- until I tried teaching such
>>drawing ability to all my untalented neighborhood friends. :-)
>>
>>I still believe it can be trained, however -- since, in later years, I was
>>successful in teaching others to visualize in 3-D. Incidentally, only one
of my
>>brothers had a similar talent (and he became a well known comic book
>>illustrator, and later, an animation and film production designer)...
Although,
>>none of my children showed that same early talent. Incidentally, my
intuitive
>>understanding of how we see and imagine in 3D depth, helped me invent 3D
>>Comic books in the early 50's. See: http://www.ray3dzone.com/LM.html
>>
>>So, perhaps, for those born with it, it's a talent that was developed in
>>a previous life. (And, therefore, could be trained in this life.) I know
that
>>after some years of meditation and visualization practice, I am able to
imagine
>>forms in 4 and even 5 dimensions. For example, I can see a 4D hypercube
>>or tesseract, and even a 5D hyper-tesseract in my minds eye... But, I can't
>>describe such images -- except, possibly, as a 2-D or 3-D line drawing...
Vide,
>>my chakrafield diagrams -- which symbolically, represents an imaginary
cross-
>>section of a 7 or more dimensional sphere. Also, look at how a 4D tesseract
is
>>drawn in 2D and animated in 3D at:
>>http://www.cut-the-knot.org/Curriculum/Geometry/Tesseract.shtml
>>
>>Enjoy your imaginings,
>>
>>Leon...
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