This is the first in a series of videos about the Pythagorean
influence on the design of Byzantine architecture.

This episode introduces the concept of Symmetria in the design
of the Hagia Sophia (537 CE, Istanbul), with a focus on a
visual, astronomical and mathematical scheme.

An Astronomical Imperial Entrance and Floor

in the Hagia Sophia

Presented at UCLA January 2012

by

Ruth Dwyer PhD

Every once in a long while an extraordinary finding concerning a
major historical architectural site reveals an important truth
that has been in plain site the entire time. This particular
finding concerns the beautiful church of the Hagia Sophia,
located in Istanbul, formerly known as Constantinople.

Completed in the 6th century, the building's interior
decorations have been a mystery waiting to be discovered.

It can now be proven that the site was located purposefully to
align itself with a particular constellation, Lyra. This can be
demonstrated using modern technology: Google Earth and Google
Sky.

Importantly, the link with the constellation begins at the
Emperor's Entrance, the doorway by which the Emperor Justinian
entered the church. How do we know this? When we arrive there is
a set of remarkable doors leading to the Entrance. This set of
two bronze doors each has a large arrow which points upwards.
Another arrow beneath a ringed circle immediately above the
Emperor's door tells us to do the same.

If we follow the three arrows' instructions and direct our
attentions upward, with the help of Google Earth we can discover
something quite remarkable: that the Imperial Entrance has a
mathematically important location on earth, and that this
location is connected mathematically to the constellation Lyra
in the sky.

The proof of this is most interesting. According to Google Earth
the latitudinal planetary co-ordinates for the Imperial Entrance
include Pi, 3.14. In fact the number is not just Pi, but
3141592, which is Pi to 6 decimal places. Such precision
indicates that the location of the Imperial Entrance is not a
coincidence. And, considering that the compass heading from the
Imperial Entrance to the apse, 123.6 degrees, was a Pythagorean
proof of the perfection of the number 6, it becomes apparent
that the design of the Imperial Entrance was pre-determined and
was an important part of the overall plan.

As we know, Pi is important mathematically in determining the
measurement, particularly the diameter, of circles. And within
the Hagia Sophia there is a remarkably large number of circles
in the building, on the ceiling, roof, walls and floors.

One ringed circle is of particular interest in this building, as
it proves to be the ''heart'' of the series of circles, all
linked to the numbers 6 and 10, and that is the Emperor's and/or
the Empress's Monogram, which are interchangeable. It is a part
of a pattern known to the ancient Greeks as Symmetria, a
symmetry of design which encompasses not only number
progressions and number patterns, but also size progressions,
from the small to the large.

Why is the Imperial monogram important? Because of its diameter,
it is at the heart of a numerical 6-10 progression. As
demonstrated in the video, the circles – and their diameters -
in the floor and on the walls of the building, are multiples of
6 and 10. And, when associated with Pi, the pattern extends
beyond this earth to include a ringed circular star in the sky.

When we ask Google Sky to take us to a location in the sky which
includes Pi in its latitudinal co-ordinates, where does it take
us?

It takes us to the constellation Lyra and the star Vega, a star
which has always been important for its circular white ring.
Note the latitudinal co-ordinates at the lower right side of the
Vega: again Pi is present to 5 decimal places, 31415. Therefore:
visually and mathematically this is a cosmic echo of the
Emperor's monogram. This could not possibly be a coincidence.

Clearly, the star Vega in the constellation Lyra is directly
linked to the Emperor's Entrance.

Now, let us look at a magnificent marble floor pattern located
just underneath the dome. It has 16 circles banded with white
and 16 that are not banded.

The diameter of the largest banded circle in the center measures
exactly 16 times the diameter of the Emperor's Monogram! (The
video mentions that the diameter is 10x the monogram; it is in
fact 16x the monogram.)

According to the Armagh Observatory Star Chart, the
constellation Lyra has 16 star formations. When we compare the
marble formations in the floor we can see an astonishing
similarity to the star chart of Lyra. For instance, there is
Alpha Lyrae (Vega), a giant star with a white dust ring, which
is comparable to the central large disc.

There is Cliese, a binary system in which two stars revolve
around each other, including a star which is a Red Dwarf. This
is matched in the floor.

There is Theta Lyra, a trinary system in which 3 stars revolve
around each other. Three banded discs in the floor, all
connected, match the star chart.

There is Beta Lyrae, two stars which are evolving and eclipsing.
In the floor we can see two circles, one of which is clearly
eclipsing the other.

There are Kappa Lyra and Lambda Lyra, two orange giants. In the
floor the two large orange discs each has 60 small equilateral
triangles around its perimeter. (Some are missing now due to
damage, but the number is easily calculated.)

And there is XY Lyrae, a pulsating red giant. Interestingly,
there is particular piece of marble which is quite veined,
unlike the other red marble discs on site. Perhaps this piece
was chosen to suggest a pulsating quality?

Such evidence of matching is no coincidence. And there is much
more of importance to the design on the walls and in the floors
of the Hagia Sophia.

This is just a small taste. The very sophisticated decorative
plan of the Hagia Sophia will continue to be revealed.

Stay tuned.