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II
THE RECOGNITION OF DYNAMIC SYMMETRY
IN BYZANTINE AND RUSSIAN ICONS
Dynamic symmetry helps answer some of the
perplexing design and proportioning questions about the composition
of icons. At this point it is necessary to again recognize the
scholarship of Hambidge, and to further interpret his work as
adapted to iconographic compositional analysis. In the introductory
paragraphs of this paper, brief mention was made of Jay Hambidge.
Canadian-born Jay Hambidge (1867-1924) was
a professional writer and illustrator. He first studied what
was considered at the time to be ordinary symmetry in nature
(phyllotaxis). He studied this natural symmetry for over
twenty-five years before he turned his attention to symmetries
found in some of the man-made arts.
In the early years of this century he felt,
as other contemporaries did, that the world of art was in chaos
as regards to technique and style. He sought an underlying design
principle based on the natural dynamism he had found in nature.
In nature he had determined two types of symmetry, or proportion.
One type was passive - a static symmetry such as to be found
in a snowflake. The other type of symmetry was active, dynamic;
with continuous movement such as can be seen in the center of
a sunflower, or in the chambered coils of the nautilis seashell.
Hambidge was not the first modern artist to
investigate this proportional system or to realize from his extensive
previous studies, that it had been recognized and copied thousands
of years earlier in ancient Egypt, During the nineteenth century
and the first quarter of the twentieth century, a number of other
men in Germany and France were also investigating the elements
of so-far unnamed symmetries along these lines.
Hambidge, influenced by Investigations
of Principles of Athenian Architecture by Francis Crammer
Penrose (1888), began his studies of man-made art in Greece,
studying and analyzing the Greek vases and temples, working there
from about 1919 to 1921. As a consequence of his studies, he
rediscovered an ancient method of measuring and apportioning
an area. This ancient method, having no identifiable name, he
termed "dynamic symmetry."
By applying Hambidge's dynamic symmetry to
analysis of several fourteenth to sixteenth century Byzantine
and Russian icons, beginning with The Entombment, I discovered
that a number of the most famous icons were probably designed
by the Byzantine icon-writer monks using the Greek proportional
system which had been, in turn, taken from the Egyptian proportional
system. These systems provide the basis for Hambidge's "dynamic
symmetry." I feel that the Byzantine artists were using
an antecedent or predecessor system that traditionally had been
handed down to them from very early centuries, but that they
had no formal name for - it was "just done that way."
Based on the foregoing introductory pages,
I now follow with the first icon analysis, that of The Entombment,
a late fifteenth century Russian icon now in the Tretyakov Gallery
in Moscow.
Analysis of The Entombment icon with dynamic
symmetry
To analyze icons to discover if they were
designed using dynamic symmetry I began with icons having landscapes
because my original interest and research was in learning more
about the construction of icon-mountains. As stated above, I
began with the fifteenth century icon, The Entombment,
that was part of the subject of the Russian article that piqued
my interest in the first place (See Figure II-l below).
Figure II-l. Icon of The Entombment.
Late fifteenth century Russian, Tretyakov
Gallery, Moscow.
To analyze an icon I first select the icon:
real, a picture, or an illustration in a book, then I trace on
tracing paper its main forms, using India ink. Next I measure
the width and length of the edges, and then draw these on a sheet
of plain paper. The length and breadth provide the possible "root"
rectangle. Then I make a square using the side of the icon as
one side of the square, forming the lower edge of the square.
Next I draw a diagonal in the square and, using the compass,
bring it up to intersect and mark the length edge of the icon
side (See Figure II-2 below).
Figure II-2. Establishment of the
"root-two" rectangle base for The Entombment
icon.
This completes a ''root-two" rectangle.
I then extend the rectangle upward as many times as it is needed
to reach the top of the icon's edge. If there is a slight overage
or underage in this measurement, ignore it for the moment because
it may not be of importance in the final "root" rectangle
if everything else falls into place.
In the case of the icon, The Entombment,
it proved immediately to be a "root-two" rectangle
in the vertical position. This is not always the case. Sometimes
it is obvious that an original square the wdth of the icon is
not going to be correct for developing a precise "root"
rectangle. If this happens, you then divide the icon into half
vertically on your plain paper and make a square on one half
of the width of the icon. Starting again from there, you draw
your diagonal line and work up the side of the icon as shown
earlier to develop your "root" rectangles until these
have reached the top edge of the icon.
To illustrate, you can see that the icon,
The Baptism of Christ, (Figure V-10) is formed by two
"root-eight" rectangles in a vertical position and
the icon, St. John the Evangelist with St. Prochorus (Figure
V-13) is constructed on two "root-six" rectangles in
a vertical position.
After you have ascertained the overall "root"
rectangle(s) of your icon, then you look at your icon illustration
and visualize its main design lines. Then you experiment, within
your plain paper "root" rectangle, with lines drawn
from various internal points in the "root" rectangle.
From time-to-time overlay your tracing of
the icon over your experimental lines to see if you have found
any main design lines. Eventually, if your icon was designed
with dynamic symmetry, your "root" rectangle lines
will fall on to the design lines in your icon tracing.
Figure II-3. The horizontal triad
position of the icon, The Entombment, "root-two"
rectangle.
Note the diamond formation in which
the main figures are placed. Design lines are on the left and
dynamic symmetry analysis is on the right.
You can see in the illustration above how
the design lines of the icon, The Entombment, fall onto
the design lines of the outline tracing of the icon.
Looking at the icon (Figure 1I-4 below) it
can be seen that the two sides of the icon-mountains are not
symmetrical. The right-hand side falls at a steeper angle than
the left-hand side. Also the entire icon composition breaks into
three distinct horizontal parts.
Figure II-4. The vertical asymmetry
of the icon-mountains and the placement of the dead Christ in
the lower third of the icon, The Entombment.
Design lines are on the left and the
dynamic symmetry analysis is on the right.
In the analysis, the icon The Entombment
can be seen to be within what is termed a "root-two"
rectangle in the horizontal triad position, with the dead Christ
in the lower third, the main figures in the center third, and
the icon-mountains in the upper third.
The rhythmic pulse of the icon is kept from
being static by the icon-mountains on the viewer's right having
a sharper downward angle than the icon-mountains on the left
of the viewer. Their tiers fall within the upper third of the
triad division of the icon.
It can be seen that all of the above design
and placement areas of the icon fall well into and onto the lines
and intersections of a "root-two" rectangle of dynamic
symmetry in the horizontal triad position.
Further, the movements and emotions of the
icon such as joy and despair, are stressed by the depiction of
physical and human nature and background. The lifted arms of
the crying woman symbolically are repeated, accentuated and echoed
by the silhouette of the two icon-mountain areas.
Of the four additional icons analyzed that
are included in this paper, you will begin to see more clearly
how this system works. This method of analysis is helpful to
the icon-writer in understanding the technical properties of
icons as well as ascertaining if the icon has been designed using
dynamic symmetry. The icon-writer can also use this method of
analysis to make his or her own original designs.
Of the most extreme interest is the simple
geometry underlying the composition of some famous icons. Understanding
and analyzing this factor opens a whole new world of iconographic
lore.
In order to further gain meaningful insights
as to the immemorial appeal of the world's most famous icons;
and the ones patterned after them, another topic must now be
introduced.
This topic, "reverse" perspective,
endeavors to explain the seemingly inexplicable difference between
an iconographic representation, and what we are mostly used to
seeing in conventional art.
Before our other four icon analysis is discussed
(in part V) it would be well to review the unusual perspective
common to many icons; and especially peculiar to Byzantine icons.
This Byzantine icon-perspective is used in conjunction with dynamic
symmetry, and is termed "reverse" perspective, mainly
because it is coming toward the viewer and not away from the
viewer as is our usual perspective in art.
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