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Anonymous Coward
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10/30/2012 06:47 PM
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In mathematics, the Poincaré conjecture ( /pw&#603;n.k&#593;&#720;&#712;re&#618;/ pwen-kar-AY; French: [pw&#603;&#771;ka&#641;e])[1] is a theorem about the characterization of the three-dimensional sphere (3-sphere), which is the hypersphere that bounds the unit ball in four-dimensional space. The conjecture states:
Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.

Main article: Poincaré conjecture

In November 2002, Perelman posted the first of a series of eprints to the arXiv, in which he claimed to have outlined a proof of the geometrization conjecture, of which the Poincaré conjecture is a particular case.[11][12][13]

Perelman modified Richard Hamilton's program for a proof of the conjecture, in which the central idea is the notion of the Ricci flow. Hamilton's basic idea is to formulate a "dynamical process" in which a given three-manifold is geometrically distorted, such that this distortion process is governed by a differential equation analogous to the heat equation. The heat equation describes the behavior of scalar quantities such as temperature; it ensures that concentrations of elevated temperature will spread out until a uniform temperature is achieved throughout an object. Similarly, the Ricci flow describes the behavior of a tensorial quantity, the Ricci curvature tensor. Hamilton's hope was that under the Ricci flow, concentrations of large curvature will spread out until a uniform curvature is achieved over the entire three-manifold. If so, if one starts with any three-manifold and lets the Ricci flow occur, eventually one should in principle obtain a kind of "normal form". According to William Thurston, this normal form must take one of a small number of possibilities, each having a different kind of geometry, called Thurston model geometries.

This is similar to formulating a dynamical process that gradually "perturbs" a given square matrix, and that is guaranteed to result after a finite time in its rational canonical form.

Hamilton's idea attracted a great deal of attention, but no one could prove that the process would not be impeded by developing "singularities", until Perelman's eprints sketched a program for overcoming these obstacles. According to Perelman, a modification of the standard Ricci flow, called Ricci flow with surgery, can systematically excise singular regions as they develop, in a controlled way.

We know that singularities (including those that, roughly speaking, occur after the flow has continued for an infinite amount of time) must occur in many cases. However, any singularity that develops in a finite time is essentially a "pinching" along certain spheres corresponding to the prime decomposition of the 3-manifold. Furthermore, any "infinite time" singularities result from certain collapsing pieces of the JSJ decomposition. Perelman's work proves this claim and thus proves the geometrization conjecture.

Anonymous Coward
User ID: 22379963
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10/30/2012 06:50 PM
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Re: 3
6, 9, damn she fiiiiine....
Anonymous Coward (OP)
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10/30/2012 07:05 PM
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Re: 3
6, 9, damn she fiiiiine....
Quoting: ArunaLuna

Yes as a spatial analogue it looks much like the 6 and 9.
Anonymous Coward
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10/30/2012 07:08 PM
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Re: 3
I prefer pi

Anonymous Coward (OP)
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10/30/2012 07:09 PM
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Re: 3
6, 9, damn she fiiiiine....
Quoting: ArunaLuna

Yes as a spatial analogue it looks much like the 6 and 9.
Quoting: Villi VonderVeener

It was a flash based on the cubic structure and the nature of the leopard and serpent conundrum. Reflexivity if you will. The tendency to snap back to form or mediate input.
Anonymous Coward (OP)
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10/30/2012 07:10 PM
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Re: 3
Quoting: Anonymous Coward 26539904

Good, but it's only a part of it.
Seer777
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User ID: 3018467
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10/30/2012 07:22 PM

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Re: 3
6, 9, damn she fiiiiine....
Quoting: ArunaLuna

Yes as a spatial analogue it looks much like the 6 and 9.
Quoting: Villi VonderVeener

It was a flash based on the cubic structure and the nature of the leopard and serpent conundrum. Reflexivity if you will. The tendency to snap back to form or mediate input.
Quoting: Villi VonderVeener

The fights most commonly shown on chlorite vases are between leopards and snakes. For a long time, one of the only vessels to offer a full version of this struggle was that found in the temple of Ishtar at Nippur, Iraq.

The inscription engraved on the truncated conical vase reads: "Inanna and the Snake."

Difficulties strengthen the Mind as labor does the body...
~Seneca
just a dude

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10/30/2012 07:35 PM
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Re: 3
6, 9, damn she fiiiiine....
Quoting: ArunaLuna

Yes as a spatial analogue it looks much like the 6 and 9.
Quoting: Villi VonderVeener

It was a flash based on the cubic structure and the nature of the leopard and serpent conundrum. Reflexivity if you will. The tendency to snap back to form or mediate input.
Quoting: Villi VonderVeener

The fights most commonly shown on chlorite vases are between leopards and snakes. For a long time, one of the only vessels to offer a full version of this struggle was that found in the temple of Ishtar at Nippur, Iraq.

The inscription engraved on the truncated conical vase reads: "Inanna and the Snake."

Quoting: Seer777

eplasen... the thing formed

A recently opened but still unpublished defixio (late 5th or early 6th century C.E.) from the hippodrome in Antioch contains a curse aimed at the horses of the Green and White factions. The tablet exhibits several noteworthy features, one of which concerns the deity chiefly called upon to bring about the defeat of the horses: Kronos. This Kronos is to be understood simultaneously as the god Khronos (Time), a primal deity in Orphic theogonies, and as the god Kronos who cuts off his father's genitals in both Hesiodic and Orphic theogonies.

echoes of Osiris and his member...

...
These Mithraic depictions make it clear how the god can be described as drakontokephalos and leontoprosôpos at the same time. Cumont (1896-1898) suggested that the figure represented was Chronos-Saturnus: the description attached to the Kronos of the tablet confirms that his identification was correct.

drakontokephalos - dra^konto-kepha^los, on, with a serpent's head, BGU1065.9 (i A. D.), Suid. S1.v. Hekatên.

leontoprosôpos - leonto-prosôpos, on, lion-faced, Sch.E.Ph.411, POxy.465.162 (ii A.D.), PMag.Par.1.2113.

The Mithraic Aeon is winged and has a key, with the head of a Lion that is identified with the Sun/Helios/Sol Invictus
...
Popular Greek traditions identified Saturn as Kronos, alter ego of Helios, and Kronos is said to have ruled "over the pole". Saturn is also known as the Black Sun.
Anonymous Coward (OP)
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10/30/2012 07:46 PM
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Re: 3
...

Yes as a spatial analogue it looks much like the 6 and 9.
Quoting: Villi VonderVeener

It was a flash based on the cubic structure and the nature of the leopard and serpent conundrum. Reflexivity if you will. The tendency to snap back to form or mediate input.
Quoting: Villi VonderVeener

The fights most commonly shown on chlorite vases are between leopards and snakes. For a long time, one of the only vessels to offer a full version of this struggle was that found in the temple of Ishtar at Nippur, Iraq.

The inscription engraved on the truncated conical vase reads: "Inanna and the Snake."

Quoting: Seer777

eplasen... the thing formed

A recently opened but still unpublished defixio (late 5th or early 6th century C.E.) from the hippodrome in Antioch contains a curse aimed at the horses of the Green and White factions. The tablet exhibits several noteworthy features, one of which concerns the deity chiefly called upon to bring about the defeat of the horses: Kronos. This Kronos is to be understood simultaneously as the god Khronos (Time), a primal deity in Orphic theogonies, and as the god Kronos who cuts off his father's genitals in both Hesiodic and Orphic theogonies.

echoes of Osiris and his member...

...
These Mithraic depictions make it clear how the god can be described as drakontokephalos and leontoprosôpos at the same time. Cumont (1896-1898) suggested that the figure represented was Chronos-Saturnus: the description attached to the Kronos of the tablet confirms that his identification was correct.

drakontokephalos - dra^konto-kepha^los, on, with a serpent's head, BGU1065.9 (i A. D.), Suid. S1.v. Hekatên.

leontoprosôpos - leonto-prosôpos, on, lion-faced, Sch.E.Ph.411, POxy.465.162 (ii A.D.), PMag.Par.1.2113.

The Mithraic Aeon is winged and has a key, with the head of a Lion that is identified with the Sun/Helios/Sol Invictus
...
Popular Greek traditions identified Saturn as Kronos, alter ego of Helios, and Kronos is said to have ruled "over the pole". Saturn is also known as the Black Sun.
Quoting: just a dude

Cheers J.A.D, that is exactly the repetitive, syncretic symbolism I'm looking at. I see the pictures, just need to put together apt relational analogies.
Anonymous Coward
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10/30/2012 07:49 PM
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Re: 3
hmmmm

Anonymous Coward (OP)
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10/30/2012 07:57 PM
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Re: 3
Eplasen as I see it is the elemental clay, the seminal structure which repeats and unifies the vessel or embodiment of conciousness.

Gathered from primordial waters and imbued with the cosmic breath (conciousness (current flow)).
just a dude

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10/30/2012 07:58 PM
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Re: 3
...

Cheers J.A.D, that is exactly the repetitive, syncretic symbolism I'm looking at. I see the pictures, just need to put together apt relational analogies.
Quoting: Villi VonderVeener

Is this relative to your inquiry:

After he drove the man out, he placed on the east side of the Garden of Eden cherubim and a flaming sword flashing back and forth to guard the way to the tree of life.

flaming sword - 2D high energy brane
Anonymous Coward (OP)
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10/30/2012 08:13 PM
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Re: 3
...

Cheers J.A.D, that is exactly the repetitive, syncretic symbolism I'm looking at. I see the pictures, just need to put together apt relational analogies.
Quoting: Villi VonderVeener

Is this relative to your inquiry:

After he drove the man out, he placed on the east side of the Garden of Eden cherubim and a flaming sword flashing back and forth to guard the way to the tree of life.

flaming sword - 2D high energy brane
Quoting: just a dude

Partially, As it obscures the fundamental forms and the association of the practice(s). There is the consistent metaphor or quite literal symbolism of the beheaded snake or that which is rendered in some way with a crushed or mutilated skull. This action creates a reflex or release.

Fire creates this same elemental release or reflexive decoupling. It leaves instinctive or intuitive means as reassemblage having broken or severed rote memory and ingrained structure.
Anonymous Coward (OP)
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10/30/2012 08:16 PM
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Re: 3
The Ricci flow has been intensively studied since 1981. Some recent work has focused on the question of precisely how higher-dimensional Riemannian manifolds evolve under the Ricci flow, and in particular, what types of parametric singularities may form. For instance, a certain class of solutions to the Ricci flow demonstrates that neckpinch singularities will form on an evolving n-dimensional metric Riemannian manifold having a certain topological property (positive Euler characteristic), as the flow approaches some characteristic time . In certain cases, such neckpinches will produce manifolds called Ricci solitons.

There are many related geometric flows, some of which (such as the Yamabe flow and the Calabi flow) have properties similar to the Ricci flow.

Seer777
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10/30/2012 08:27 PM

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Re: 3
I thought I would mentioned something I perceived yesterday during the storm.

Being purely symbolic and echoing the Osiris and snake theme here...

The crane which collapsed in NYC last night and hung there limpy...Was reminiscent of Osiris phallus to me for some odd reason.

I thought it was quite symbolic as well, having it happen due to a female named storm, and perhaps within sight of the Statue of Liberty (Isis).

Dunno...just thought I would mention.

:)
Difficulties strengthen the Mind as labor does the body...
~Seneca
just a dude

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10/30/2012 08:42 PM
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Re: 3
Mantra No. 7: He who is Omniscient and all-knowing,
whose glory extends even to the earth, is established in the
ether of the heart, or the divine city of Brahman. The guider
of the mind and the Pranas and the mover of the body is
seated in the core of every individual. Through the
knowledge of that Supreme Principle, the great heroes
behold that which shines as Bliss and Immortality.

Mantra No. 10: The whole universe is the Purusha alone.
Actions and penances also are this Immortal Supreme alone.
One who knows this which is seated within the secret cave,
breaks open the knot of ignorance.

purusha - cosmic man / Self which pervades the universe

Hrit padme chakra / sol connection / sacred heart / the 'Cave'

kalpataru - "celestial wishing tree"

Last Edited by just a dude on 10/30/2012 08:43 PM
Anonymous Coward (OP)
User ID: 26548359
10/30/2012 08:42 PM
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Re: 3
I thought I would mentioned something I perceived yesterday during the storm.

Being purely symbolic and echoing the Osiris and snake theme here...

The crane which collapsed in NYC last night and hung there limpy...Was reminiscent of Osiris phallus to me for some odd reason.

I thought it was quite symbolic as well, having it happen due to a female named storm, and perhaps within sight of the Statue of Liberty (Isis).

Dunno...just thought I would mention.

:)
Quoting: Seer777

It's odd you bring that up. Looking at the shape of the building beside it it could be construed as the feathered sword, but that is a loose association on my part.
Anonymous Coward (OP)
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10/30/2012 08:44 PM
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Re: 3
Mantra No. 7: He who is Omniscient and all-knowing,
whose glory extends even to the earth, is established in the
ether of the heart, or the divine city of Brahman. The guider
of the mind and the Pranas and the mover of the body is
seated in the core of every individual. Through the
knowledge of that Supreme Principle, the great heroes
behold that which shines as Bliss and Immortality.

Mantra No. 10: The whole universe is the Purusha alone.
Actions and penances also are this Immortal Supreme alone.
One who knows this which is seated within the secret cave,
breaks open the knot of ignorance.

purusha - cosmic man / Self which pervades the universe

Hrit padme chakra / sol connection / sacred heart / the 'Cave'

kalpataru - "celestial wishing tree"
Quoting: just a dude

yes, I take that quite literally; As to know source you must move with it unencumbered.
Seer777
Ride the wings of the mind

User ID: 3018467
United States
10/30/2012 08:54 PM

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Re: 3
I thought I would mentioned something I perceived yesterday during the storm.

Being purely symbolic and echoing the Osiris and snake theme here...

The crane which collapsed in NYC last night and hung there limpy...Was reminiscent of Osiris phallus to me for some odd reason.

I thought it was quite symbolic as well, having it happen due to a female named storm, and perhaps within sight of the Statue of Liberty (Isis).

Dunno...just thought I would mention.

:)
Quoting: Seer777

It's odd you bring that up. Looking at the shape of the building beside it it could be construed as the feathered sword, but that is a loose association on my part.
Quoting: Villi VonderVeener

I was discussing the 'sword' at length with another yesterday.

Excalibur to be specific.

I posted the screen shots at the time.

Perhaps you remember...

Seems to be a theme.

:)
Difficulties strengthen the Mind as labor does the body...
~Seneca
Seer777
Ride the wings of the mind

User ID: 3018467
United States
10/30/2012 08:56 PM

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Re: 3
Mantra No. 7: He who is Omniscient and all-knowing,
whose glory extends even to the earth, is established in the
ether of the heart, or the divine city of Brahman. The guider
of the mind and the Pranas and the mover of the body is
seated in the core of every individual. Through the
knowledge of that Supreme Principle, the great heroes
behold that which shines as Bliss and Immortality.

Mantra No. 10: The whole universe is the Purusha alone.
Actions and penances also are this Immortal Supreme alone.
One who knows this which is seated within the secret cave,
breaks open the knot of ignorance.

purusha - cosmic man / Self which pervades the universe

Hrit padme chakra / sol connection / sacred heart / the 'Cave'

kalpataru - "celestial wishing tree"
Quoting: just a dude

Love this.

:)
Difficulties strengthen the Mind as labor does the body...
~Seneca
just a dude

User ID: 9618710
United States
10/30/2012 09:03 PM
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Re: 3
I thought I would mentioned something I perceived yesterday during the storm.

Being purely symbolic and echoing the Osiris and snake theme here...

The crane which collapsed in NYC last night and hung there limpy...Was reminiscent of Osiris phallus to me for some odd reason.

I thought it was quite symbolic as well, having it happen due to a female named storm, and perhaps within sight of the Statue of Liberty (Isis).

Dunno...just thought I would mention.

:)
Quoting: Seer777

It's odd you bring that up. Looking at the shape of the building beside it it could be construed as the feathered sword, but that is a loose association on my part.
Quoting: Villi VonderVeener

I was discussing the 'sword' at length with another yesterday.

Excalibur to be specific.

I posted the screen shots at the time.

Perhaps you remember...

Seems to be a theme.

:)
Quoting: Seer777

In one sense, akin to the pierced Heart, Sacred Heart... which flows the Fire/Tao.

In another sense, from pommel to sacrum...
Seer777
Ride the wings of the mind

User ID: 3018467
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10/30/2012 09:14 PM

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Re: 3
I was discussing the 'sword' at length with another yesterday.

Excalibur to be specific.

I posted the screen shots at the time.

Perhaps you remember...

Seems to be a theme.

:)
Quoting: Seer777

In one sense, akin to the pierced Heart, Sacred Heart... which flows the Fire/Tao.

In another sense, from pommel to sacrum...
Quoting: just a dude

Yes, the conversation about the sword actually started the morning I had that dream of the 'cats' heart in the garbage.

A friend of mine had a vision he sent me over mail while I slept.

It involved a sword and a heart...

I didn't mention that part when I was relaying my dream experience on the X thread.

Crazy synch tonight.

:)
Difficulties strengthen the Mind as labor does the body...
~Seneca
just a dude

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10/30/2012 09:18 PM
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Re: 3
Going full circle...

:klausdona:

Sitting on a fulcrum...

... Aqualung
Seer777
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10/30/2012 09:24 PM

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Re: 3
Going full circle...

:klausdona:

Sitting on a fulcrum...

... Aqualung
Quoting: just a dude

Tell me if you will, love.

What you see when you look at that image...

Reminds me...

:)
Difficulties strengthen the Mind as labor does the body...
~Seneca
Notsure

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10/30/2012 09:32 PM
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Re: 3
Seer777
Ride the wings of the mind

User ID: 3018467
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10/30/2012 09:37 PM

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Re: 3
Going full circle...

:klausdona:

Sitting on a fulcrum...

... Aqualung
Quoting: just a dude

Tell me if you will, love.

What you see when you look at that image...

Reminds me...

:)
Quoting: Seer777

Look at the date at the bottom of the triangle on the Sun image.

A lot of '3's'

Full circle indeed.

Here we go..

3/12/12 21:33

3/3/3/3/3/3

Difficulties strengthen the Mind as labor does the body...
~Seneca
Anonymous Coward (OP)
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10/30/2012 09:40 PM
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Re: 3
Going full circle...

:klausdona:

Sitting on a fulcrum...

... Aqualung
Quoting: just a dude

What is that specific piece? is there an enlargement?
Anonymous Coward (OP)
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10/30/2012 09:42 PM
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Re: 3
Going full circle...

:klausdona:

Sitting on a fulcrum...

... Aqualung
Quoting: just a dude

Tell me if you will, love.

What you see when you look at that image...

Reminds me...

:)
Quoting: Seer777

Look at the date at the bottom of the triangle on the Sun image.

A lot of '3's'

Full circle indeed.

Here we go..

3/12/12 21:33

3/3/3/3/3/3

:triangle1:

Quoting: Seer777

And of course 11 13 12 closes out the three of the year.

m 20 12 a 17 12 n 13 12
Seer777
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10/30/2012 09:49 PM

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Re: 3
Look at the date at the bottom of the triangle on the Sun image.

A lot of '3's'

Full circle indeed.

Here we go..

3/12/12 21:33

3/3/3/3/3/3

Quoting: Seer777

And of course 11 13 12 closes out the three of the year.

m 20 12 a 17 12 n 13 12
Quoting: Villi VonderVeener

The only day of the year I have a particular dislike for.

Unfortunate.

Either way...

6 '3's'=18=9=3^2

I likes it.

lol.

m 20 12 a 17 12 n 13 12

You posted this before...All I see is 'Man 2012'.

Difficulties strengthen the Mind as labor does the body...
~Seneca
just a dude

User ID: 9618710
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10/30/2012 09:49 PM
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Re: 3
Going full circle...

:klausdona:

Sitting on a fulcrum...

... Aqualung
Quoting: just a dude

Tell me if you will, love.

What you see when you look at that image...

Reminds me...

:)
Quoting: Seer777

Look at the date at the bottom of the triangle on the Sun image.

A lot of '3's'

Full circle indeed.

Here we go..

3/12/12 21:33

3/3/3/3/3/3

Quoting: Seer777

And of course 11 13 12 closes out the three of the year.

m 20 12 a 17 12 n 13 12
Quoting: Villi VonderVeener

9 'rays' on each side of the 'sol/vesica pisces/singularity/asteroid belt/whatever'
lieing lion
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10/30/2012 09:53 PM
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Re: 3
looking at clay good deal what you wrote is true

the lion is a lie

it is the tiger and the dragon

lion equals Zion copy cat

get it?

i hope so

spirit depends on it bro