This is an interesting image, it begins with one whole and a point in it's center, successively divided by one line, then 3 lines to form a triangle, 4 lines make a square, five point star, etc. Every number except 2 lines has been used to create a form on a flat image of a circle. Circles have been a generator of thought on many levels in mathematics but less commonly in psychology as the 'ego'. Where is the center of 'me', or am "I" the whole and the dividing into parts creates a confusion at times ( purposefully it seems to me) of what is reality? But a circle is flat.
I used to wonder how a sphere could be drawn, how would the lines on this image appear on/in a sphere? The question formed after I'd read Flatland by Abbott then by chance, (that's where I can see purpose is at work in my life) Sphereland by Dionys Burger, then read as though some foresight other than mine had arranged the sequence The Persian King Allegory by Charles Hinton. Thought about 'dimensions' and 'points of view' within me, in my mind grew slowly, evolving when I became aware of different thought than was normal for me, but there were changes in how things looked and sounded outside my body too.
I just watched a news video that showed how the first real 3 dimensional image of our sun had been made. It also proved the sun is round.
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I thought I'd discovered the 'moebius twist point' until by accident I saw a mathematical equation for it. This YouTube video comes close to illustrating it but not how I became aware of it, bit of information by bit of information over a span of several decades.
Hinton's book, Scientific Romances is not about surfaces but about interiors of a king's mind, after he is led across an abyss into an isolated land. He has to figure out how to motivate creatures that lay about listlessly, and he decides they must require feeling more pleasure than pain so he absorbs a measure of their pain himself. That difference creates activity and a busy civilization, but as time passes the amount of pain the king absorbs becomes unbearable so he has to leave them, inert again and he is led away by the being that led him into isolation. Do I have a similar need, to feel more pleasure than pain?
I remember something that happened at about the same time I read The Persian King. It was a foxglove bloom in my yard that had the shape of a nautilus shell, the familiar chryslys form; the form so often associated with the Fibonacci sequence, 1,1,2,3,5,8... and certain ideas in quantum physics. That shape is a circle opened up, this foxglove had a door in it!
This was an unusual foxglove plant, it was thought provoking too, in fact it generated thought that I would not have experienced ever, except in my experiences with this foxglove and its progeny after 1989 until this year, 2013. As I looked at it "I" began to think about it's 'spirituality', i.e., it's attributes, characteristics, qualities, etc and the strange fact that it is both life saving and death dealing. A lot of thought was produced when I noticed how unusual it was. Every stalk had a different kind of bloom at the top. I'd never seen anything like it but every year it has re-produced and foxgloves aren't supposed to do that. Until 1995 I'd always had a plant that produced round blooms on the top of each stalk; I thought of them as a mandala flower. Then as a result of thinking about 'dimensions' and how a sphere really can't be drawn, somehow that impossibility caused me to think my center could be anyplace at any time in one of the layers I couldn't see in my mind. What if my 'soul's eye' looked out at the world from different locations in my mind? (I had become convinced there is a soul eye , after reading that Goethe mentioned he saw not with the eye of the body but the eye of the soul).
What if "I" was looking within my mind, and seeing from it at the same time, but sensing purposefulness behind even the distress and discomfort at times, where motivation didn't just happen? What ever is 'me' now, its not always a center point in a Cartesian like three dimensional space, with 'ego' in one place, it can be moved anywhere without any awareness of crossing from one 'part' to another. I hope this makes sense? I began to wonder whether all the different problems I had with people in my life, and with situations that caused me a lot of inner turmoil happened because I didn't understand the value of unpleasant situations and thoughts.
If other people are like me, it takes something really unusual to cause me to think about thinking, and what produces it. Thinking about the kind of thinking that was produced (or generated) by objects or situations has evolved from a point where my 'eye' was like the center point on a circle, when every thing was 'flat'. The sphere within 'me' extends back into history and very certainly into the future at times. What if I'd merely glanced at the strange (to me) book, Flatland, then Sphereland and passed them. Or ignored the strange title of Charles Hinton's Scientific Romances, seeminlgy unrelated?
There are quite a few images of my foxgloves from1989 to last summer.
http://s138.photobucket.com/albums/q251/ayesha32/