Divine proportion and the divine right of kings? The sacred geometry of the ancient philosophers had always fascinated Leonardo Davinci, and interest he shared with other Renaissance artists like Albrecht Durer…..

One very famous piece, known as the Mona Lisa, painted by Leonardo Da Vinci, is drawn according to the golden ratio. The golden ratio is 1:0.618 and has been coined golden because it is said to be aesthetically pleasing. The golden proportion can be found throughout the human body. A golden rectangle is simply a rectangle with dimensions that reflect the golden ratio. The Mona Lisa has many golden rectangles throughout the painting. By drawing a rectangle around her face, we can see that it is indeed golden. If we divide that rectangle with a line drawn across her eyes, we get another golden rectangle, meaning that the proportion of her head length to her eyes is golden. There are other golden rectangles that can be drawn on the rest of her body, like from her neck to the top of her hands. Read More:http://mathcentral.uregina.ca/beyond/articles/Art/art1.html

But is this true? It is assumed that proportions of the circle and square reflect Golden Division. Ray Tyler Here we present analysis that shows that this assumption is incorrect.If a circle has radius = 1 unit, square side is equal to:

1.656 for Vitruvian Man

1.618 for Golden section construction

1.571 for the condition: circumference of the circle = perimeter of the square

1.772 for the condition: area of the circle = area of the square

Leonardo’s Vetruvian Man is sometimes confused with principles of “golden rectangle”, however that is not the case. The construction of Vetruvian Man is based on drawing a circle with its diameter equal to diagonal of the square, moving it up so it would touch the base of the square and drawing the final circle between the base of the square and the mid-point between square’s center and center of the moved circle…Read More:http://www.world-mysteries.com/sci_17.htm

ADDENDUM:

Ray Tyler:In 1982, after an insight into the probable origin of the geometric concept which was critical to the creation of Chess, I began to re-create from the tabula rasa of the “collective unconscious” [Jung] – an ancient archetypal a priori pre-Euclidean geometric model. Subsequently I began to understand that I had entered a universal domain not unlike that described by Tons Brunes in his unusual book The Secrets of Ancient Geometry….

…What is striking about my initial quasi-mystical experience is that I independently developed the fundamental graphical gestalt of ORIGINSZ © prior to doing any formal research. The model’s key principles and features could well have been Pythagoras’s course material by which “the Euclidean consortium'” proceeded from the empirical to the axiomatic deductive system and in so doing, one might perhaps suggest, quite unintentionally perpetrated somewhat of a fraud in the realm of human intellectual endeavor….

Unfortunately there is a long history in the esoteric schools of NOT revealing the ‘secret teachings’ other than through art or arcane puzzle-like writings. Over the years in my attempts to demonstrate certain clear cut elements from the geometry, which I believe necessarily led to the creation of essential chess concepts, I’ve met with various responses running the gamut from ‘duh what?’ to ‘Aha’! in turn colored by the permutations of ‘where is your proof?’, ‘what makes you an authority?’, and my favorite one, a tenet from the sciences: “an empiricist cannot hypothesize” – because one is selectively fitting data or facts to fit a pre-determined bias. Mea culpa – but to which I can only answer, that in the absence of anything which reveals a substantially contradictory resolution as to how chess suddenly ‘appears’, isn’t it preferable to identify and consider as many of the features of the forensic evidence which provides for the most inclusive synthesis? Read More:http://originsz.blogspot.com/

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Read More:http://www.egypt-tehuti.org/downloadarticles/sacred-geometry-gp.pdf

Ray Tyler:

Once upon a line, a point in time: a number, as a letter

marked its place in space,

but from its rigid viewpoint reached out to embrace a more universal reality.

As numbers come, so numbers go and some multiplied threefold

to stand like soldiers in a row doomed to become –BINGO –

why, and how did we fail

in our voyage of discovery where all is such perfect harmony?

But now let their inner truth be known and how magic springs:

BGINSZS… a child’s play game as the gateway to ORIGINSZ,

a geometric language by which to re-chart our mindscape

to challenge the twisted reason of this world

which cannot get its numbers straight

while its words are parsed to become absurd

as madmen plunder and destroy in their folly to claim God’s grace

The Divine Compass traces our ignoble fate:

Who will state Sum Ergo Cogito? Read More:http://bingo-for-dummys.blogspot.com/

Read More:http://www.cosmicchronicle.com/