
Begin with "The
Strange Horn".
STEP 1: Follow Cupid's
bow line.
"The
Strange Horn": Note
how the painting of Cupid has been positioned. The artist could
have placed it in any position he chose. Yet it seems he positioned
it badly (?) – positioned it in error
(?). Cupid’s bow looks like a grotesque horn emerging
from the lady’s head! But Vermeer was in
full control of the composition! He wanted to draw attention to
that bow and bowstring!
This painting was composed to conform to a then secret geometric
pattern – a pattern this writer calls “The Grail Geometry”.
Vermeer chose a dramatic way to call attention to his hidden geometry.
Subsequent illustrations will diagram the development of this
pattern upon which Vermeer placed significant features of this
painting -- as he did in at least seven others. As a consequence
of this contention, this writer believes that Vermeer was a member
of a secret society.
STEP
1 . Note that the artist has purposely positioned Cupid’s
bow so that the bowstring line, extended downward, goes through
the Lady’s left eye. If this line is extended further downward,
it goes through 1, the circled corner of the instrument.

This writer contends that the artist painted these features so
as to conform to a predetermined geometric pattern. It will be
shown that the line thus revealed is part of one side of a predetermined
equilateral triangle – an element of what this writer calls
“The Grail Geometry”.
Click
here for Grail Geometry Section
------------------------------------------------------------------------------
Following Cupid's bow
line. STEP
2 of 5: The Tilted Triangle.
STEP
2: The line of Cupid’s bowstring has now been extended from
point 1 up to point A on the top edge of the image. Assuming that
this is one side of an equilateral triangle (all sides, all angles
equal), the other two sides may be drawn.

STEP
2: (continued)
Note the dramatic confirmation at 2, the top of Cupid’s
card. Note the confirmation designated by the ellipse –
the landscape on the instrument cover was painted with the lower
side of the triangle used as a guide. The triangle has been labeled
A—V1—V2.

STEP
2: (text repeated here for clarity) The line of Cupid’s
bowstring has now been extended from point 1 up to point A on
the top edge of the image. Assuming that this is one side of an
equilateral triangle (all sides, all angles equal), the other
two sides may be drawn. Note the dramatic confirmation at 2, the
top of Cupid’s card. Note the confirmation designated by
the ellipse – the landscape on the instrument cover was
painted with the lower side of the triangle as a guide. The triangle
has been labeled A—V1—V2.
------------------------------------------------------------------------------
STEP
3 of 5: More confirmations.
STEP
3: To emphasize the triangular geometry, Vermeer positioned the
corners 6 and 8 of the musical instrument on a line parallel with
the side V1—V2. Note that the corner 6 has been positioned
so that the line A—6 is the exact bisector of the vertex
angle A. It should be clear that this arrangement could not have
arisen by chance.

STEP 3 (continued) The triangular pattern above confirms and accounts
for at least seven features painted by Vermeer:
A: the top edge of the frame;
1: a corner of the instrument;
2: the top of Cupid’s card;
6 and 8: corners of the instrument; 14: the
Lady’s eye; 16: the bowstring.
------------------------------------------------------------------------------
STEP
4 of 5: The HEXAGRAM:
STEP
4: At this stage of development we can see that the original bowstring
line A—1 is part of a hexagram, an important constituent
of the Grail Geometry. To arrive at STEP 4 from STEP 3, a circle
is drawn around the first triangle: A—V1—V2. A second
triangle: VH1—VH2—VH3 is then added to complete the
Hexagram. We can see that Vermeer employed this second triangle
to guide his composition.
Click
on the image below to ENLARGE the HEXAGRAM:

Click on the image above to ENLARGE the HEXAGRAM ^^^^^^
STEP
4 (continued) Note the circled confirmations including the exact
center of the hexagram, which falls on the white line on the picture
frame. That is – to put it more precisely -- Vermeer carefully
painted (on the canvas) the white line on the picture frame so
as to fall on the exact center of the hexagram (on the geometric
layout sheet !).
------------------------------------------------------------------------------
STEP
5 of 5: The TILTED SQUARE:
STEP
5 (added 12/10/2003): I left this analysis a while ago without
searching for a tilted square. An edifying exchange with
a colleague has led to my adding the analysis below. His
very faint hexagram in red prompted me to use his suggested strong
geometric line of the top of the instrument cover -- something
I missed previously. Assuming that I could use this line as one
of the diagonals of the Tilted Square of the Grail Geometry, I
proceeded to draw (in green color below) a line parallel to that
cover-top (double green lines below suggest that Vermeer was guided
geometrically to paint that cover-top to agree, somewhat displaced
but parallel, with the strange "tail" on the Lady's
backside). My third green line, parallel to those two, I purposely
drew to go through the mountainside depicted on the cover artwork;
and I drew it to go precisely through the circled feature where
the bottom outline of the Lady's wrist intersects the edge of
the instrument. Such intersections are favorite features for registration
with the guiding geometric pattern.

STEP
5 (continued). Once a decision on one of the diagonals is made,
then the other diagonal has to be drawn perpendicular to it as
the next move. A good guess, I thought, would be to have
that other diagonal go through the very prominent corner of the
cover. Vermeer uses lots of sharp corners in his paintings! Can
it be any wonder why? Since the rules of the Grail Geometry (GG)
must be obeyed if we are to prove that Vermeer used it, now we've
got to think about the Tilted Equilateral Triangle associated
with the square -- whose diagonals we just decided on!
We
have two lines -- the diagonals of the square -- yet to be drawn.
We need a third. Well, to make a long story short, I used as the
third one a line developed in the previous steps -- the one that
convincingly clips the top of the playing card held aloft by Cupid.
Both diagonal lines must define a square whose top side
is the line that clips the top of Cupid's card. Geometers amongst
you will see that the triangle and the square are thus defined
by those three lines -- two diagonals and the Cupid card line.
So it is straightforward to complete the diagram as shown above
in green.
The
confirmations are strong and ample. The left side of the Tilted
Square of the GG goes precisely through the right eye of Cupid
and the Lady's nose! Two other confirmations are circled
under the instrument, and the lower-left vertex of the Tilted
Equilateral Triangle of the GG falls precisely in the narrow triangular
slot showing where a tiny bit of the uncovered innards of the
instrument are revealed. Note how the black line -- the
line parallel to the left side of the green tilted square -- how
that line clips the lower right corner of the small picture frame,
and how it also hits precisely the upper left corner of the large
picture frame (that point is POINT A -- the "Northwest Point")!
If Vermeer had not painted these features where he painted
them, in registration with his pre-determined geometric layout,
then these intentional coincidings (not accidental coincidences)
would not occur with such overwhelming frequency. Let me put it
in the positive: Vermeer laid this painting out to conform to
the Grail Geometry.
But what I want to call attention to is the little
coffin-shaped rectangle I drew where the diagonals intersect on
the mountainside. This is traditionally emblematic of a secret
burial -- and Vermeer is demonstrating that he's one of the "cognoscenti"
-- he knows the "secret" of the legendary burial by
the Templars of the "Holy Grail". That
he knows it is demonstrated graphically here -- but HOW did he
know a then-jealously-guarded secret -- a secret harboring
consequences of religious retaliation? He might have been
commissioned to do so -- or -- he did so out of personal conviction.
"YOU
DON'T FIND THE GRAIL -- THE GRAIL FINDS YOU"
(From
the novel "The Da Vinci Code" by Dan Brown, 2003)
------------------------------------------------------------------------------
Indeed, all the features mentioned as “confirmations”
in this website are features that the artist positioned in precise
registration with selected nodes, angles, and lines of the Titled
Triangle, the Tilted Square, the Hexagram(s), and The Grid of
The Grail Geometry -- on separate layout sheet(s) -- as compositional
guides and constraints. The artist was using a then-secret
"treasure-map" pattern to achieve arresting compositions
-- and to make a religious statement (see the book "Vermeer's
Riddle Revealed: The SPHINX, The JESTER, and The GRAIL GEOMETRY",
by Robert A. diCurcio).

Further analysis of this painting may be found in Robert A. diCurcio’s
book “VERMEER’S RIDDLE REVEALED”. In my book
I have demonstrated that Vermeer used three different hexagrams
(of which the one exhibited above is just one of those three).
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