Category Archives: geometry

Dance of Fire and Water: Relations…

‘…As all things are discovered by one,

alone through contemplation,

so all things are born from this one,

alone by permutation…

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… Its father is the Sun,

its mother is the Moon,

the Wind bears it in its belly,

the Earth nurtures it in its heart…’

The Emerald Tablet

Dance of Fire and Water: Tablet…

 

‘In truth, it is certain and without doubt,

that whatever is above tends toward that which is below…

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… And whatever is below tends toward that which is above,

for the accomplishment of the One Perfected Thing…’

The Emerald Tablet

 

Dance of Fire and Water: Planets…

Image result for moon symbol

White represents the Crescent of the Soul:

a vision of the tides of life, their ebb and flow…

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Red represents Matter over Spirit:

when to act in peace and war, we all must know…

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Grey represents Spirit which mediates between Soul and Body:

a communion of truth and wisdom…

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Orange represents Expansion through Wisdom:

and tempers justice with compassion, to protect and to serve…

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Green represents Spirit over Matter:

acting from love with a generous heart…

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Black represents Contraction through Matter:

as the bread of life is sown and reaped…

Image result for Astrological sun symbol - yellow

Yellow represents the Circle of the Spirit:

an outer light and the greater light within…

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Dance of Fire and Water…

Circle – Sun – Spirit

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… After satisfactorily explaining

the nature of the Earthly Realm,

The Alchemists turned their attentions to the stars…

Crescent – Moon – Soul

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To those heavenly bodies

which seemingly ‘wandered’ across the fixed backdrop of the constellations,

they gave the generic name planets,

and held them in especial reverence.

Cross – Earth – Body-Matter

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The symbolic system they developed

to designate the planetary beings

also linked them to the human psyche.

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Magical Elements: ‘Alchemy’…

 

 

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To lessen the confusion between Fire and Water

and to accentuate the difference between

Earth and Air,  the Alchemists coloured their symbols…

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… Alchemy is one of the oldest techniques known to mankind.

The Ancient who first cast a weather eye at the heavens,

licked a finger and held it aloft in the sky,

in order to ascertain which way the wind did blow… was an ‘Alchemist’.

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One of the first things the Alchemists noticed about the elements was their mutability…

They seemed to be caught up in an endless round of transmutation,

and were forever striving to become each other.

That apart, they were incredibly stable in themselves, and also incredibly dynamic!

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Small wonder then that the equilateral triangle,

with its base-line and its point,

presented itself as such a fitting symbol of their being.

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These and other observations led the Alchemists to conceive a set of qualities

for the Magical Elements which would  explain their transmutation from one to the other.

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Earth is Cold and Dry… Water is Cold and Moist…

Air is Moist and Hot… Fire is Hot and Dry…

Make Earth Hot to get Fire. Make Earth Moist to get Water.

Earth cannot become Air without first becoming Fire or Water and vice versa.

Similarly, Fire cannot become Water without first becoming Earth or Air and vice versa.

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All of which, upon consideration, is an extremely subtle conception

to be entertained by mere ‘primitives’.

Ars Geometrica: Seal…

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‘For God created man immortal, and made him in the image of his own eternity.’
– The ‘Twentieth’ Leaf

The preceding image we had to own did not seem to us particularly god-like.

We turned the leaf:

7The Twenty-First Leaf

…Although that description most definitely did.

Finally we came to the last leaf of the little gold-plated book.
It did not come before time.
Already a golden dawn was beginning to blaze through the blinds of our study window.

The Twenty-Second Leaf looked like this:

8We walked to our bedroom in a daze, collapsed on the bed, and fell into a fitful sleep.
We dreamed of two rooms the exact reverse of each other.
One was in shadow.
The other was lit.
We awoke around Noon.
We walked into the living room to find the window open and the little golden book gone.
We fell to our knees and sobbed.

On the study desk were our rough copies of the material we had found in the book.

How had she done it?
Where had she been?
And why didn’t she use the door?

The door may be watched, came the answer.

We remembered our dream and walked back into the bedroom.
We opened one of the mirrored doors to our wardrobe.
There on the floor lay a leaf from the little golden book.
Was it ‘the missing leaf’?
If it was, it was not what we were expecting.

The Twenty-Third Leaf:

9On the back was a seal:

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Ars Geometrica: A Corn of Wheat…

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‘…then a triangle and finally a circle……’
– The ‘Eighteenth’ Leaf.

…This to our mind pretty much makes the earth feminine and the moon masculine which we expect also makes the sun feminine and the star behind the sun masculine. And that is pretty much how the Egyptian’s had it.
We surmise that at this point there maybe at least one missing leaf to the book delineating in much more detail the geometries of earth and moon.
…But what of the sun?

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We turned the ‘Eighteenth’ Leaf…

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‘…Except a corn of wheat fall into the ground and die it abides alone…’

The ‘Nineteenth’ Leaf

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Which we must assume is referring to the sun.

We turned the ‘Nineteenth’ Leaf aware somewhere in the recesses of our overstretched brain that the moon and sun cycles are conjoint in their nineteenth year.

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The ‘Twentieth’ Leaf

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‘…But if it dies it brings forth much fruit.’

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…Which leaf, incidentally, concludes the geometric designs contained in the book.
The ‘Twenty-First’ Leaf introduced a picture of sorts which to us again appeared to echo some of the Egyptian ideas:

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Ars Geometrica: Atalanta…

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…The ‘Sixteenth’ and ‘Seventeenth’ Leaves.

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‘…From a man and a woman make a circle…’

‘…And then a square…’

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We thought again of The Officers Of Law who appeared to see the girl as a man?

‘The Spirit as Inner Fire is ‘Agni’ for the Vedic and ‘Hermes’ for the Greek.

The vessel defines the content which is a perception.

Make the vessel transparent in order to ‘see’ clearly.’

Clearly, this sequence of directions related to a famous alchemical engraving. We dashed to our library…

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‘The Flight of Atalanta’ by Michael Maier…

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‘The squaring of the circle represents a marriage of opposites. It can be accomplished in two ways, by area or perimeter. The circle is a symbol of the eternal element in creation, whilst the square represents solid matter and human works… The largest squared circle in the natural world is the earth and moon. Earth’s mean radius is 3960 miles and the Moon’s is 1080 miles which makes 5040 miles. With a radius of 5040 the circumference of any sublunary circle is 316180 miles, which is the same as the perimeter of any square containing the earth.’

Blimey, they’re all ‘nines’ save the last which is a ‘one’.

We smile, and then consider that it seems to us somewhat incredible that the planetary bodies should possess such accurate geometric proportions by accident.

‘This combination of heaven and earth, or spirit and matter, is a founding pattern in sacred temples from time immemorial the world over.’

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Ars Geometrica: Rose of Sharon…

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The ‘Fifteenth’ Leaf.

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Operation Three:
‘I am the rose of Sharon as the Lily among thorns
so is my love among the daughters.’
– Song of Songs 2:1

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In our mind’s eye we saw her:

She was deep in the earth…
…But far deeper than the deepest imaginable depth.

She moved in a Sanctum of Silence hewn from Living, Breathing Stone.
And she was three:
One was Movement and transcribed the geometric figures in air…
One was Heart and recited the formula with utmost precision of tone…
One was Mind and meditated on all that occurred.

A Fourth there was which oversaw each station and which also took her form.

And what a form it was:
A form transfigured by each Atu…

We were again minded of our studies:

THE GREAT ESCAPE

A man is tasked with liberating prisoners.
He finds them deluded.
Their history is prison history, their lives are prison lives.
They think and act accordingly.
Instead of hoarding bread they mould it into dominoes and play games with it.
The rats in prison are treated as pets instead of being trained to communicate with the outside world.
Alcohol is drunk in order to produce hallucinations rather than drug the guards…
The prisoners confuse common words…
‘Provisions’ to them means prison-food…
‘Journey’ means walking to and from cell blocks…
‘Escape’ means avoiding punishment…
When their would-be liberator says, ‘we need provisions for our escape to the outside world,’ he sounds like a madman.
To the inmates their prison is the world.
The liberator dies without accomplishing his task.
Those who tried to understand his words turn them into a prison cult and find questions for the next liberator who comes to set them free…
Nonetheless, occasionally there are some prisoners who escape.
– A Sufi Parable

Is that what she was?
Was she an ‘Escapee’?
The Rose of Sharon…

What did it mean?

Ars Geometrica: White World…

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We turned the ‘Eleventh’ leaf of the book:

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Operation Two:
’… to him that overcomes will I give a white stone, and
in the stone a new name written…’
– Revelation 2:17

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…The ‘Twelfth’ Leaf.

Albedo: A White World.

Was it a coincidence?
Twelve Tribes of Israel… Twelve Jewels on the High Priest’s Ephod…
Twelve Disciples of the Christ…
…Twelve Gates into the New Jerusalem.
Twelve Months of the Old Year.

It certainly suggested that thus far the leaves were in fact in the correct order.
Scratch that.
All it really suggested was that the Twelfth leaf was in the correct place.

But why this headlong career though the leaves of the book?
And why did we feel the need to so hastily transcribe its contents?
Something told us it was not ours to keep.

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The ‘Thirteenth’ Leaf:

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‘…One becomes Two, Two becomes Three…’

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In terms of number symbolism alone that really was very clever…

We decided to be audacious;
‘Why are you wanted by The Officers Of Law?’
We did no more than frame the question in our mind.

Silence…Nothing… and then:

‘Because the Dead Letter always seeks to contain the Spirit,
Whilst the Living Word seeks only to set it free.’

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The ‘Fourteenth’ Leaf:

g

‘…And out of the Third comes One as the Fourth…’

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…As Indeed was that.

And that is without even considering the geometric forms.
The one here certainly resembles a seed…
…A Diamond seed sown at the heart of conjunction.

Our brain was now again beginning to fire yet simultaneously to tire.

It was all we could do to get the thing down as accurately as we could.
We were onto the Third Operation already…

And finally we saw her…

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