Charles Gilchrist Mandala: Gallery #11
The Golden Mean Rectangle and The Phi Ratio - Part 2
(Fig. 1) A New Painting
#SG1101: 1.6180339 (State II): acrylic painting by Gilchrist © 2009
Author's note: since we created Gallery #11 and our interview #11 part one, Charles has created another major painting celebrating the Golden Mean Rectangle. This wonderful work is entitled, 1.6180339. It is a painting panel measuring 36 '' by 22.25" (Phi Ratio proportions) covered with deep and rich acrylic glazes.
A beautiful rich print is now available of this important Gilchrist Mandala. Charles personally creates and signs these prints. The watercolor paper size is 19 inches by 13 inches. The price is $59.95, plus $14.00 insurance, shipping, and handling anywhere in the continental USA..
The low wholesale price is:
One print - only $59.95 - plus $14.00 I/S/H
This print is shipped flat
See (Order Form)
An Interview With The Artist by Leslie Page - Number 11 Part 2
L.P. "It's beautiful Charles. Tell us about this painting, 1.6180339. Of course the title is the Phi Ratio to nine places, the Golden Mean proportions of the painting, but there's obviously a lot more going on in this piece."
C.G. "That's true, Leslie. This is a contemplative Mandala, based on Sacred Geometric Principles (Fig. 1). The painting is designed as a cipher, a riddle. All the clues necessary to solve the puzzle can be discovered within the painting, but it would take a great deal of concentration to crack the code, and some additional understanding would really help."
L.P. "Leonardo's man is an obvious element (Fig 2 - below). I see the square and a number of circles in various sizes, but I have no idea whats going on there. That's very interesting, mysterious.... even confusing."
C.G. "Try this, Leslie. When you don't see anything you recognize, just turn your eye somewhere else within the Painting."
L.P. "All right. Moving to the right I see a Flower Of Life, no, there's more. It's a dissolving veil, the FOL within a dissolving Nature's First Pattern (Fig. 3 - below)."
C.G. "Excellent Leslie. Believe it of not, you just demonstrated the entire process. If you continued to investigate this Mandala from known to unknown to known, you would eventually get the message. But I'm going to give you some hints that will speed the process.
"The first Key? This Mandala is layered with three, superimposed Sacred Geometric Formulas. Each formula stands on its own as an unchanging geometric principle but, in this arrangement, each forms additional empirical geometric relationships to one another. These direct relationships prove the inseparable nature of Sacred Geometric principles. All of the archetypes and formulas of Sacred Geometry are omnipresent - omnipotent, interactive principles of this universe."
L.P. OK, I'll bite, three geometric formulas?
Three Sacred Geometric Formulas
C.G. "You already found them all, Leslie. I thought you realized that. They are the Phi Ratio formula (Fig. 4), The Flower Of Life formula with roots in the Nature's First Pattern formula (Fig. 5), and the formula for creating Leonardos equal circle and square (Fig. 6)."
L.P. "Now I'm lost again. Could I have another Hint?"
C.G. "Relax, you'll figure this out. Try this one. There is a classic Mandala (a square) that takes up the entire left side of the Golden Mean Rectangle. And the center of this Mandala is extremely important (Fig. 7). All three formulas are centered on that Bindu (the center point)."
L.P. "Yes, I see the Mandala, and I see the square is centered. All those additional lines and circles are also connected to that same center, at least in a symmetrical way. They must be various aspects of the three formulas. All right, now I'm starting to see it a little more clearly. If the center is really important, that little circle in the center must be part of the answer"
C.G. "Very Good, Leslie, and fast. Here is The Major Key. All three formulas share that same small circle at the center (Fig 8). But Let's just take one formula at a time. Where do you want to start?"
L.P. "In our earlier conversation (#11 part one) I was struck by the simplicity of the Golden Mean/Phi Ratio formula (Fig. 4) and I really understood that one. Let's start there."
C.G. "Great place to start. You've already perceived the Golden Mean proportions of the panting, and the spiraling rectangles. What else can you see.... relating to Phi?"
L.P. "The number (1.6180339) is strong, hanging just below the square and
I see it now, Charles. The same geometric formula (Fig. 4 - above), is struck in red on Leonardos square (Fig 9 - below). Now I see the little arrows marking the three principle points. Wow, very interesting. I can clearly see the Golden Mean Rectangle - Phi Ratio formula in this Mandala. I must say my confidence is building a bit."
C.G. "That always helps. Now, look back to the FOL you found before, the one on the right side. Look for three blue circles."
The Formulas: #2: The Flower Of Life Formula
L.P. "Yes, I have them, three blue circles. The FOL is three circles high, I remember (Fig 3 - below). Now back to the formula. Wow, tree blue circles (Fig. 10 - below). How simple.... how direct. Why didn't I see that before? The three circles of the FOL are also centered in the Mandala."
Tangent Formulas (#1 and #2)
C.G. "Yes. Now, Leslie, you are very close to an important realization. Look at the geometric relationship between the outer circle enclosing the FOL and the red arc defining the Phi Ratio. They are tangent, they just perfectly touch."
L.P. "Let me look closer. You are right. They are tangent (Fig 11). Interesting."
C.G. "That tangent proves a direct empirical geometric correspondence between the two formulas because both formulas share that same little circle in the center. I find that to be significant, but Let's discover the third formula so we can begin to tie them all together."
L.P. "Alright. I'm looking at Leonardos man in the square, Charles but there are a lot more lines here than were in the original (Fig. 12 - below)."
The Formulas: #3: Square Equals Circle Formula
C.G. "Leonardo Da Vincis Study Of Human Proportions, is, in itself, a riddle holding several encrypted messages, including the Sacred Geometric formula that creates a circle and a square of equal perimeters (Fig 13 - Above). In figure 13, the blue circle of the formula equals Leonardo's original circle (the red one. Leonardo hid this important formula in his most famous drawing. This was a very important sacred formula of the ancient master builders. In Leonardos time, as before, this secret was not shared openly. In fact it was, as with many other esoteric secrets, guarded with profound zeal. The additional Lines you see are also hidden in Leonardos drawing. This 900 parts grid, is suggested by the various hash marks across the body and across Leonardos proportional reference line lying just below the square (see Fig 13 - above). Leonardos famous masterpiece traces directly to the Dionysian architects and the work of Vitruvius, the ancient and famous Italian master builder (Fig. 14 - below)."
L.P. "All right. Let's start from what we know. I see the most obvious connection. Leonardos formula automatically creates the small circle. It is tangent to the four larger green circles around it. That would firmly connect it to that formula."
C.G. "Correct. One down, two to go."
L.P. "I can see the FOL more clearly now, and I can see NFP in there to. I like the way that NFP is moving through the piece in a very subtle way, stronger at the top, those overlapping circles above the mans head (Figs. 8 & 10). I can feel a relationship with the little circle but I can't quite get it. Help me out here, Charles. I almost have it."
L.P. "Yes you do Leslie. There are nine hundred squares in the grid held within Leonardos square (thirty units by thirty units), just like the drawing after Vitruvius (Fig. 14 - above). Use that grid Leslie, to measure the little circle."
L.P. "Let's see, the little circle measures six units across the diameter. How interesting. Now I see it. And the blue circles of the FOL formula are exactly twice as large, with a twelve-unit diameter. Wow, fascinating. That is definitely empirical geometry because NFP is a transcendental relationship. It (NFP) naturally magnifies by 1.5 and divides by one half into ever larger and smaller circles, respectively. I've always loved that aspect. This proves a direct relationship between Leonardos equal square and circle formula and this FOL formula."
C.G. "Yes, it does Leslie. No question about it. Now let's pull all three formulas together. Connect that little center circle to the Phi Ratio formula, and we'll have it."
L.P. "OK, I'm looking.... still looking. The little center circle is just there.... on its own. I don't see any direct connections to the Phi Ratio formula. It should be there...."
C.G. "Consider this, Leslie. Would you say there is a direct relationship between our little circle and the size of Leonardos square?"
L.P. "Yes, of course. That's obvious."
C.G. "Then make this connection. The size of Leonardos square is equal to the square of our Phi Ratio formula. In fact, they are the same square....and so....."
C.G. "I see Leonardo Da Vinci is the quintessential example of Renaissance Man, and it is obvious he was privy to extremely esoteric information. In his exquisite and famous little drawing 'Study Of Human Proportion,' after Vitruvius, Leonardo was illustrating the esoteric fact that the entire Universe, Including The Human Body, is designed in Sacred Geometry.
This Mandala (1.6180339) is a study in left and right brain thinking, a play between the projective and the receptive. It is a celebration of the beauty and perfection of Sacred Geometric principles, and also backs up Leonardo's understanding with empirical proof of the interrelated realities of three Sacred Geometric Formulas. These three archetypes and formulas of Sacred Geometry are omnipresent, omnipotent, interactive principles of this universe. Sacred Geometry is The Architecture Of The Universe, and the Human Body is an exquisite manifestation of that reality. We are truly made in the image of GOD.