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Over
the
next
half
hour
,
Langdon
showed
them
slides
of
artwork
by
Michelangelo
,
Albrecht
Dürer
,
Da
Vinci
,
and
many
others
,
demonstrating
each
artist
’
s
intentional
and
rigorous
adherence
to
the
Divine
Proportion
in
the
layout
of
his
compositions
.
Langdon
unveiled
PHI
in
the
architectural
dimensions
of
the
Greek
Parthenon
,
the
pyramids
of
Egypt
,
and
even
the
United
Nations
Building
in
New
York
.
PHI
appeared
in
the
organizational
structures
of
Mozart
’
s
sonatas
,
Beethoven
’
s
Fifth
Symphony
,
as
well
as
the
works
of
Bartók
,
Debussy
,
and
Schubert
.
The
number
PHI
,
Langdon
told
them
,
was
even
used
by
Stradivarius
to
calculate
the
exact
placement
of
the
f
-
holes
in
the
construction
of
his
famous
violins
.
«
In
closing
,
»
Langdon
said
,
walking
to
the
chalkboard
,
»
we
return
to
symbols
»
He
drew
five
intersecting
lines
that
formed
a
five
-
pointed
star
.
«
This
symbol
is
one
of
the
most
powerful
images
you
will
see
this
term
.
Formally
known
as
a
pentagram
–
or
pentacle
,
as
the
ancients
called
it
–
this
symbol
is
considered
both
divine
and
magical
by
many
cultures
.
Can
anyone
tell
me
why
that
might
be
?
»
Stettner
,
the
math
major
,
raised
his
hand
.
«
Because
if
you
draw
a
pentagram
,
the
lines
automatically
divide
themselves
into
segments
according
to
the
Divine
Proportion
.
»
Langdon
gave
the
kid
a
proud
nod
.
«
Nice
job
.
Yes
,
the
ratios
of
line
segments
in
a
pentacle
allequal
PHI
,
making
this
symbol
the
ultimate
expression
of
the
Divine
Proportion
.
For
this
reason
,
the
five
-
pointed
star
has
always
been
the
symbol
for
beauty
and
perfection
associated
with
the
goddess
and
the
sacred
feminine
.
»
The
girls
in
class
beamed
.
«
One
note
,
folks
.
We
’
ve
only
touched
on
Da
Vinci
today
,
but
we
’
ll
be
seeing
a
lot
more
of
him
this
semester
.
Leonardo
was
a
well
-
documented
devotee
of
the
ancient
ways
of
the
goddess
.
Tomorrow
,
I
’
ll
show
you
his
fresco
The
Last
Supper
,
which
is
one
of
the
most
astonishing
tributes
to
the
sacred
feminine
you
will
ever
see
.
»
«
You
’
re
kidding
,
right
?
»
somebody
said
.
«
I
thought
The
Last
Supper
was
about
Jesus
!
»
Langdon
winked
.
«
There
are
symbols
hidden
in
places
you
would
never
imagine
.
»
«
Come
on
,
»
Sophie
whispered
.
«
What
’
s
wrong
?
We
’
re
almost
there
.
Hurry
!
»
