Why Divine Proportion Geometry
DIVINE PROPORTION YIELDS ABSOLUTE HARMONY
DIVINE PROPORTION GEOMETRY speaks a primeval language that we can all understand but perhaps can't explain at all. This geometry communicates with our female part. That's why we are not able to fully capture its innate meaning, but we strongly perceive its existence, the HARMONY that 1,61803… generates.
WITH THE DIVINE PROPORTION EVERYTHING IS BEAUTY AND HARMONY
DIVINE PROPORTION
The DIVINE PROPORTION is an irrational number 1.61803398... Since it is an irrational number it is part of our dimension and other dimensions too and that's why helps us to connect with other worlds and dimensions. That magic number is so important that has many names such as Golden Section, Golden Number, Golden Ratio, Phi, Tau, Divine Proportion, Fibonacci Number..
What we need to know in order to understand better what is this irrational number 1.61803398… is that the original name of the DIVINE PROPORTION is Greek TAU.
In the early
20th century Mark Barr changed its name and gave to this irrational number PHI
Greek name in honor of the Greek sculptor Phidias.
Changing the name of the DIVINE PROPORTION they also changed its importance.
The real name of the DIVINE PROPORTION is TAU and when you know that you can understand how this noble number is important for us and for planet.
After a many years of research and study
I understood that I was destined to draw and paint the geometric forms of the GOLDEN RATIO to show my contemporaries
the allure and importance of the GOLDEN SECTION,
the DIVINE PROPORTION.
I said to myself:
"There must be a reason why the Franciscan friar Luca Pacioli defined it as the DIVINE PROPORTION five hundred years ago" and so I have dedicated the last 16 years of my life to trying to understand this magic 'number'.
After years of working on a daily basis with the geometry of the DIVINE PROPORTION I have to say that I totally agree with Luca Pacioli. The 'number' 1,61803… is not just simply a number.
It is a PROPORTION, a FUNCTION. It is the GOLDEN SECTION.
This GOLDEN NUMBER yields absolute HARMONY, a true DIVINE PROPORTION.
Characteristics of the Golden Section
Something interesting regarding Divine Proportion
My favorite definition of the DIVINE PROPORTION comes from Vitruvius (Roman architect, 1st century B.C.):
"Three points in line, determining two segments, form a Golden Section
if there is between the small part and the longer one the same ratio as there
is between the longer one and the whole" (A is the long part, B is the smaller
one and A+B is the whole. Thus A/B=(A+B)/A .
There is
something so interesting regarding this special number:
- adding 1 to Phi one obtains its square root and subtracting 1 from Phi one
obtains the reverse (see below):
- Phi = 1.61803398…
- Phi + 1 = PhixPhi = 2.61803398...
- Phi - 1 = 1/Phi = 0.61803398...
Fibonacci numbers and Geometric sequence
Let's look at two famous sequences of terms: Fibonacci numbers and Geometric sequence:
- Fibonacci
numbers, the infinite
sequence 1 1 2 3 5 8 13 21 34 55 89 …where each terms is defined as the sum of
its two predecessors and the ratio between two consecutive terms is close to
Phi (1,61803398...):
(8/5=1,6), (21/13=1.615), (89/55=1.6181), (144/89=1.6179)…
The Fibonacci numbers depend on the first two terms. - Geometric
sequence is a series of
numbers in which the term is the product of the previous number by a set number
that is called the common ratio of the sequence.
For example: 1 2 4 8 16 32 64 128 256 … in which the common ratio is 2.
The geometrical sequence depends on its first term and the common ratio.
The Geometric
Sequence can be Fibonacci on one condition only: its common ratio
should be
Phi : 1, Phi, PhixPhi, PhixPhixPhi ,
PhixPhixPhixPhi …...
or
1/Phi : ... 1/(PhixPhixPhixPhi), 1/(PhixPhixPhi), 1/(PhixPhi) ,
1/Phi, 1
PAINTINGS
DivineProportionArt
DIVINE PROPORTION PAINTINGS
I draw and paint the CROP CIRCELES based on the geometrics of the DIVINE PROPORTION with compass and ruler. I have been drawing and painting since 2007 this magic geometry on linen canvas and on 100% cotton paper using oils colors and colored pencils. All my paintings are fractals.
Geometric forms of my paintings are based on two Geometric Sequences; at the same time with the common ratio Phi and 1/Phi. I match these two sequences and get the following sequence that looks like Fibonacci:
….1/(PhixPhixPhixPhi), 1/(PhixPhixPhi), 1/(PhixPhi), 1/Phi , 1 , Phi, PhixPhi, PhixPhixPhi, PhixPhixPhixPhi ….
I use this as only one sequence when I draw my paintings. This way I create fractals.
It is like going deep and at the same time going out of my painting. It seems like this Noble number is the Beginning and the End of the Creation. Just follow it and you'll find your way of harmony and peace.
VISION
Since the DIVINE PROPORTION is a generator of HARMONY and yields absolute HARMONY and PEACE, DIVINE PROPORTION GEOMETRY can help humanity to find the way of HARMONY and PEACE.
MISSION
Show my contemporaries the allure and importance of the GOLDEN SECTION, the DIVINE PROPORTION and help them to understand how much PEACE and HARMONY gives us this noble number with its DIVINE PROPORTION GEOMETRY.
WEBINAR
SEMINARIO SULLA GEOMETRIA SACRA DELLA SEZIONE AUREA, GHIANDOLA PINEALE, DNA E MER-KA-BA
STORE
BIOGRAPHY
Mirjana Banic, the artist known as Mirjana Sara Sophia, was born in Zadar (Croatia, ex-SFR Yugoslavia). She now lives in Sardinia. She has obtained a degree in Electronic Engineering, a Master's in I.T., a diploma in General Management and a diploma in Counseling. She has worked in the field of telecommunications for over 20 years as an Account Manager and has also held a managerial role.
After the trip to Egypt in 2007 she felt the need to express herself and began painting with oils on canvas something that she had never seen before, something new, but something ancient and primordial at the same time. For months she didn't know what and how.
Whilst researching the subject she came across some interesting material that mentioned the Divine Proportion (1,61803398..), this magical "number" captivated her from that moment onwards. Shortly afterwards, she came across some photos taken in the UK of Crop Circles where there were prominent features of the Golden Section Ratio. At this point she knew exactly what she wanted to paint: Crop Circles with oils on canvas based on the Divine Proportion geometry.
Mirjana draws and paints the geometrics of the Golden Section with compass and ruler. She has become an expert in the field. She has never attended art school. She uses techniques of her own to reach her artistic achievements. She paints and draws exclusively on linen canvas and on 100% cotton paper using oils and colored pencils. All her paintings are dedicated to the Golden Section, to this special 'number'.
All her paintings are linked, it seems like she has been writing a book and each of her painting represents a part of the Story. Her goal is to share with other people the power of the colors, numbers and magic geometry based on the DIVINE PROPORTION.
Since 2010, Mirjana has been exhibiting her works of art in various galleries in Italy: Assisi, Rome, Florence, Spoleto, Monreale, Naples, in the Biennal of Palermo and also across Europe in Amsterdam, Bruges, Paris and Bruxelles.
REVIEW OF PAINTINGS
THE GEOMETRIC UNIT OF THE INVISIBLE (prof. Paolo Levi)
The Universe, be it an atom or a whole, exists and persists thanks to an internal balance we call a Harmony and through which our senses reveal the elements to us... (R. A. Schwaller De Lubicz, The Temple of Man).
This enlightening passage refers to the cultural heritage to which Mirjana Sara Sophia makes explicit reference in subtitling her works, and this particular concept appears to completely define her expressive research, I cannot think of a better way to describe it. I feel that the title of the unusual and eye-opening exhibition, We are Love (Noi siamo Amore) is self-explanatory, where the path of twenty-four paintings might be defined by an art critic relying on easy formulations as being a persuasive cycle of abstract modulations bearing a poetic message. And it is, in fact, a repertoire of tones from musical presences, a concert of voices, each presenting a complex score but in harmonious assonance with the others, and where the attentive eye of the beholder perceives a concatenation of revealing forms, beyond the titles, such as Big Bang or Angel, that are significant only on the surface.
They are dialogues of tones ebbing and flowing, of a sophisticated progression of signs filled with imperceptible vibrations; the receiving mind must go beyond visual seduction to arrive at the mystery of the harmony which, in this context, is defined and transmitted subjectively; we know that our heart beats according to our own unique and secret rhythms, and that is why Mirjana Sara's art is open to infinite variables of interpretation.
Abstract art has, in a now distant past, presented us with, and made us endure, theoretical impositions which did not allow room for freedom of judgement. It is worth recalling Piet Mondrian's theory in this context: for this Dutch master of abstract-geometric research, the only true masters of abstraction were, if anyone, romantic landscapers or expressionists, whose signs and shades were far from being bearers of reality. Instead, for Mondrian, the visible perfection of geometry and the atonal purity of primary colors were representative of the undeniable concreteness of reality in art.
In the case of our painter, we do not wish to formulate definitions for the reasons behind her poetry, which could not be exhaustive, and would also be misleading, in conceptual terms. However, we may claim, and for good reason, that her works are creations of brilliant visionary abstraction, serving as reflections on a timeless and not officially historically recognized theoretical 'other place'. They are, in fact, visual formulations related to the geometrics of the Golden Ratio, or De Divina Proportione as it was called in 1497 in the treaty of Luca Pacioli, given its cosmogenic and spiritual implications. Luca Pacioli, a Franciscan mathematician born in Sansepolcro was a collaborator of Leonardo da Vinci, who illustrated Pacioli's treaty.
However, through proper analysis of this complex aesthetic expressive language, one may speak of virtuous decorative painting, recalling perhaps an unconscious legacy of the Vienna Secession. In addition, at the tonal and harmonic level, we are confronted with a visual musicality of strict construction, comparable to the phrasing and variations of J.S. Bach and, with a non-arbitrary and cultural time jump, to the twelve-tone compositions of A. Schoenberg, implying a close relationship between music and mathematics for both type of artist. They are thus works which are exquisitely cerebral, expressions of a passage that can be accessed by those wishing to delve into the knowledge of the "mystical number governs the harmony of nature" (Schwaller De Lubicz, legendary author of reference for Mirjana Sara Sophia, defines the Golden Ratio as such), the more occult implications of which are immersed in Ancient Egypt, or even in the perfect calculations that underlie the Pyramids' architectural invention.
Ultimately, we would be doing a disservice to our painter if we resorted to aesthetic formulas belonging to the realm of abstract research, because each of her twenty-four works seem completely unprecedented and unusual. This solitary artist, moving between art and science, crosses the threshold of a visionary that even American Optical Art painters of the seventies and eighties - if we were ever tempted to find any superficial similarity between her and them - never even took into consideration.
Mirjana Sara Sophia's culture takes us back from those obscure times, to the most noble of our Renaissance artworks; which turned utopian perfection into a compositional method and conceptual reference, via the proportional relationship between two measurements defined in the mathematical formula of the Golden Ratio. But why did Mirjana Sara Sophia begin to work in this manner? In one of her writings, she states that she had always believed she had no talent for painting. As a result, she studied electronic engineering. But after a trip to Egypt, she began to study the ancient culture in depth, the mysteries of which she had been drawn to since childhood. And after two years, she understood her vocation, and she decided, just as Leonardo and Pacioli had done in the past, to fuse art with the fundamental constraints of the Divine Proportion which governs the laws of many natural events.
She has worked with rigorous patience and a selective palette since 2007, armed with a compass and ruler in order to give a shape to and to breathe precious life into works rich in statements and emotions related to her own spirituality, all individually significant, and executed in a wide variety of styles.
As a concluding statement, let us quote what she herself has written: I said to myself, there must be a reason why the Franciscan friar Luca Pacioli defined it as the Divine Proportion five hundred years ago, and so I've dedicated the last years of my life to trying to understand..
:
She is a painter with a clear ecstatic depth for the invisible One, a proportion of Divine essence that is unseen by the eye of a profane beholder: while the elect, lending an ear, sees its voice, just happened to the artist Mirjana Sara Sophia amidst the silence of the Cathedral of Our Lady of Chartres.
Prof. Paolo Levi
Turin, 3rd April 2013