inversion

[AntonioLao]

Circular inversion is a transformation of mapping points within a unit circle to points outside along the same rays. If r is the distance from the center of a point inside then the distance from the center of a point outside is 1/r. Note that as r gets closer to the center, 1/r gets farther. In the event that r is zero then 1/r is infinite.

There is a tendency to define this as a point at infinity, which is the image of the center under inversion. However, this is not a point at all in the ordinary sense since it has no definite position or location on the plane in question. On the other hand, if the center coincides with the center of an 8x8 checker or chess board of 64 unit squares then outer space is mapped into a finite region with approximate radius of ¼. For a 6x6 board the radius is ⅓. For a 4x4 board the radius is ½. For a 2x2 the radius is the square root of (p+2)/2p. If the circumscribed polygon is a hexagon then the finite radius of the image of outer space is the square root of (2p+Ö3)/8p.

[mkirkpatrick]

Circular inversion is a transformation of mapping points within a unit circle to points outside along the same rays. If r is the distance from the center of a point inside then the distance from the center of a point outside is 1/r. Note that as r gets closer to the center, 1/r gets farther. In the event that r is zero then 1/r is infinite.

There is a tendency to define this as a point at infinity, which is the image of the center under inversion. However, this is not a point at all in the ordinary sense since it has no definite position or location on the plane in question. On the other hand, if the center coincides with the center of an 8x8 checker or chess board of 64 unit squares then outer space is mapped into a finite region with approximate radius of ¼. For a 6x6 board the radius is ⅓. For a 4x4 board the radius is ½. For a 2x2 the radius is the square root of (p+2)/2p. If the circumscribed polygon is a hexagon then the finite radius of the image of outer space is the square root of (2p+Ö3)/8p.

Why would one require mapping points for a universal expression of motion?

Would a map indicate where motion began,and stopped?


regards michael.

[AntonioLao]

a universal expression of motion

Absolute motion does not exist. Relative motion is an illusion.

[mkirkpatrick]

Absolute motion does not exist. Relative motion is an illusion.

You took the words right out of my mouth,Antonio,If you were not my friend,I would call
out "stop thief"?



regards michael.

[AntonioLao]

I would call out "stop thief"?

In the mental exploration it's free for all by dead reckoning. I could have gotten it from OBE sessions.

[mkirkpatrick]

In the mental exploration it's free for all by dead reckoning. I could have gotten it from OBE sessions.

Thats true,however you would find it rather difficult to bring anything from that dimension
to this one?



regards michael.

[AntonioLao]

it rather difficult to bring anything from that dimension to this one

I am still not quite sure how many dimensions (space-wise or time-wise) for the mind?

[mkirkpatrick]

I am still not quite sure how many dimensions (space-wise or time-wise) for the mind?

I am not that sure,but suggest as there is three outer dimensions,with an implied forth
as time,then prehaps the inner,mind/etheric/realm,has three/or four also?




regards michael.

[AntonioLao]

the inner,mind/etheric/realm,has three/or four also

Two or one would make more sense to me.

[mkirkpatrick]

Two or one would make more sense to me.

If there are four outer,would it not follow that there be four inner?



regards michael.