<s>
The	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
are	O
a	O
sequence	O
of	O
integers	O
,	O
starting	O
with	O
0	O
,	O
1	O
and	O
continuing	O
1	O
,	O
2	O
,	O
3	O
,	O
5	O
,	O
8	O
,	O
13	O
,	O
...	O
,	O
each	O
new	O
number	O
being	O
the	O
sum	O
of	O
the	O
previous	O
two	O
.	O
</s>
<s>
The	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
,	O
often	O
presented	O
in	O
conjunction	O
with	O
the	O
golden	O
ratio	O
,	O
are	O
a	O
popular	O
theme	O
in	O
culture	O
.	O
</s>
<s>
In	O
The	O
Phantom	O
Tollbooth	O
(	O
1970	O
)	O
,	O
Milo	O
(	O
Butch	O
Patrick	O
)	O
is	O
given	O
a	O
set	O
of	O
numbers	O
to	O
identify	O
in	O
order	O
to	O
gain	O
entry	O
to	O
the	O
"	O
Numbers	O
Mine	O
"	O
,	O
and	O
correctly	O
answers	O
noting	O
that	O
it	O
is	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
.	O
</s>
<s>
Along	O
with	O
the	O
golden	O
rectangle	O
and	O
golden	O
spiral	O
,	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
is	O
mentioned	O
in	O
Darren	O
Aronofsky	O
's	O
independent	O
film	O
Pi	O
(	O
1998	O
)	O
.	O
</s>
<s>
In	O
The	B-Application
Da	I-Application
Vinci	I-Application
Code	I-Application
(	O
2006	O
)	O
,	O
the	O
numbers	O
are	O
used	O
to	O
unlock	O
a	O
safe	O
.	O
</s>
<s>
In	O
Mr.	O
Magorium	O
's	O
Wonder	O
Emporium	O
(	O
2007	O
)	O
,	O
Magorium	O
hires	O
accountant	O
Henry	O
Weston	O
(	O
Jason	O
Bateman	O
)	O
after	O
an	O
interview	O
in	O
which	O
he	O
demonstrates	O
knowledge	O
of	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
.	O
</s>
<s>
In	O
L	O
:	O
Change	O
the	O
World	O
(	O
2008	O
)	O
,	O
Near	O
is	O
seen	O
arranging	O
sugar	O
cubes	O
in	O
a	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
.	O
</s>
<s>
In	O
21	O
(	O
2008	O
)	O
,	O
the	O
first	O
seven	O
numbers	O
in	O
the	O
Fibonacci	B-Algorithm
Sequence	I-Algorithm
are	O
drawn	O
in	O
icing	O
on	O
Ben	O
's	O
(	O
Jim	O
Sturgess	O
)	O
Birthday	O
cake	O
.	O
</s>
<s>
In	O
Nymphomaniac	O
(	O
2013	O
)	O
,	O
the	O
character	O
Seligman	O
(	O
Stellan	O
Skarsgård	O
)	O
notes	O
that	O
when	O
Joe	O
(	O
Charlotte	O
Gainsbourg	O
)	O
loses	O
her	O
virginity	O
,	O
the	O
boy	O
who	O
deflowers	O
her	O
does	O
so	O
in	O
a	O
sequence	O
of	O
thrusts	O
that	O
are	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
.	O
</s>
<s>
In	O
Arrival	O
(	O
2016	O
)	O
,	O
character	O
Ian	O
Donnelly	O
(	O
Jeremy	O
Renner	O
)	O
checks	O
if	O
the	O
aliens	O
have	O
communicated	O
with	O
humans	O
in	O
any	O
of	O
the	O
following	O
approaches	O
:	O
"	O
shapes	O
,	O
patterns	O
,	O
numbers	O
,	O
fibonacci	B-Algorithm
"	O
.	O
</s>
<s>
Thirteen	O
...	O
"	O
To	O
which	O
Frazz	O
replies	O
,	O
"	O
Fibonacci	B-Algorithm
sequins	O
,	O
of	O
course.	O
"	O
</s>
<s>
Fibonacci	B-Algorithm
retracement	O
levels	O
are	O
widely	O
used	O
in	O
technical	O
analysis	O
for	O
financial	O
market	O
trading	O
.	O
</s>
<s>
John	O
Waskom	O
postulated	O
that	O
stages	O
of	O
human	O
development	O
followed	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
,	O
and	O
that	O
the	O
unfolding	O
psychology	O
of	O
human	O
life	O
would	O
ideally	O
be	O
a	O
"	O
living	O
proof	O
"	O
of	O
the	O
Golden	O
Mean	O
.	O
</s>
<s>
The	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
plays	O
a	O
small	O
part	O
in	O
Dan	O
Brown	O
's	O
bestselling	O
novel	O
(	O
and	O
film	O
)	O
The	B-Application
Da	I-Application
Vinci	I-Application
Code	I-Application
.	O
</s>
<s>
In	O
Philip	O
K	O
.	O
Dick	O
's	O
novel	O
VALIS	B-Application
,	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
(	O
as	O
well	O
as	O
the	O
Fibonacci	B-Algorithm
constant	O
)	O
are	O
used	O
as	O
identification	O
signs	O
by	O
an	O
organization	O
called	O
the	O
"	O
Friends	O
of	O
God	O
"	O
.	O
</s>
<s>
In	O
the	O
collection	O
of	O
poetry	O
alfabet	O
by	O
the	O
Danish	O
poet	O
Inger	O
Christensen	O
,	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
is	O
used	O
to	O
define	O
the	O
number	O
of	O
lines	O
in	O
each	O
poem	O
.	O
</s>
<s>
The	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
is	O
frequently	O
referenced	O
in	O
the	O
2001	O
book	O
The	O
Perfect	O
Spiral	O
by	O
Jason	O
S	O
.	O
Hornsby	O
.	O
</s>
<s>
A	O
youthful	O
Fibonacci	B-Algorithm
is	O
one	O
of	O
the	O
main	O
characters	O
in	O
the	O
novel	O
Crusade	O
in	O
Jeans	O
(	O
1973	O
)	O
.	O
</s>
<s>
"	O
Ice	O
Station	O
"	O
a	O
novel	O
by	O
Australian	O
writer	O
Matthew	O
Reilly	O
involves	O
a	O
partially	O
completed	O
access	O
code	O
,	O
the	O
remaining	O
numbers	O
of	O
which	O
can	O
only	O
be	O
found	O
by	O
extrapolating	O
a	O
Fibonacci	B-Algorithm
pattern	O
.	O
</s>
<s>
The	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
is	O
used	O
by	O
a	O
serial	O
killer	O
to	O
attract	O
the	O
protagonist	O
Special	O
Agent	O
Pendergast	O
in	O
the	O
Preston/Childs	O
novel	O
Two	O
Graves	O
(	O
2012	O
)	O
.	O
</s>
<s>
Eleanor	O
Catton	O
's	O
novel	O
The	O
Luminaries	O
(	O
2013	O
)	O
,	O
winner	O
of	O
the	O
2013	O
Man	O
Booker	O
Prize	O
,	O
is	O
structured	O
around	O
an	O
inverse	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
,	O
with	O
each	O
part	O
of	O
the	O
book	O
half	O
the	O
length	O
of	O
the	O
one	O
preceding	O
it	O
.	O
</s>
<s>
Bollywood	O
Lyricist	O
Vayu	O
's	O
song	O
from	O
the	O
movie	O
A	O
Flying	O
Jatt	O
mentions	O
the	O
Fibonacci	B-Algorithm
Spiral	O
in	O
the	O
lyrics	O
:	O
</s>
<s>
As	O
if	O
tracing	O
out	O
a	O
Fibonacci	B-Algorithm
's	O
Spiral.	O
]	O
</s>
<s>
Hip	O
hop	O
duo	O
Black	O
Star	O
's	O
song	O
"	O
Astronomy	O
(	O
8th	O
Light	O
)	O
"	O
from	O
the	O
1998	O
album	O
Mos	O
Def	O
&	O
Talib	O
Kweli	O
are	O
Black	O
Star	O
,	O
features	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
in	O
the	O
chorus	O
:	O
</s>
<s>
Tool	O
's	O
song	O
"	O
Lateralus	O
"	O
from	O
the	O
album	O
of	O
the	O
same	O
name	O
features	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
symbolically	O
in	O
the	O
verses	O
of	O
the	O
song	O
.	O
</s>
<s>
Then	O
it	O
turned	O
out	O
that	O
987	O
was	O
the	O
16th	O
number	O
of	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
.	O
</s>
<s>
In	O
the	O
third	O
movement	O
of	O
Bartók	O
's	O
Music	O
for	O
Strings	O
,	O
Percussion	O
and	O
Celesta	O
,	O
the	O
opening	O
xylophone	O
passage	O
uses	O
Fibonacci	B-Algorithm
rhythm	O
as	O
such	O
:	O
1:1:2:3:5:8:5:3:2:1:1	O
.	O
</s>
<s>
The	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
are	O
also	O
apparent	O
in	O
the	O
organisation	O
of	O
the	O
sections	O
in	O
the	O
music	O
of	O
Debussy	O
's	O
Image	O
,	O
Reflections	O
in	O
Water	O
,	O
in	O
which	O
the	O
sequence	O
of	O
keys	O
is	O
marked	O
out	O
by	O
the	O
intervals	O
34	O
,	O
21	O
,	O
13	O
and	O
8	O
.	O
</s>
<s>
Italian	O
composer	O
and	O
mathematical-physicist	O
Matteo	O
Sommacal	O
wrote	O
in	O
2002	O
the	O
eight-movement	O
suite	O
Fibonacci	B-Algorithm
's	O
Piranhas	O
,	O
for	O
piano	O
4	O
,	O
5	O
and	O
6	O
hands	O
,	O
which	O
makes	O
an	O
extensive	O
use	O
of	O
the	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
for	O
deriving	O
and	O
developing	O
the	O
whole	O
melodic	O
,	O
rhythmic	O
and	O
harmonic	O
structure	O
of	O
the	O
piece	O
.	O
</s>
<s>
Polish	O
composer	O
Krzysztof	O
Meyer	O
structured	O
the	O
values	O
in	O
his	O
Trio	O
for	O
clarinet	O
,	O
cello	O
and	O
piano	O
according	O
to	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
.	O
</s>
<s>
Fibonacci	B-Algorithm
's	O
name	O
was	O
adopted	O
by	O
a	O
Los	O
Angeles-based	O
art	O
rock	O
group	O
The	O
Fibonaccis	O
,	O
that	O
recorded	O
from	O
1981	O
to	O
1987	O
.	O
</s>
<s>
American	O
musician	O
BT	O
also	O
recorded	O
a	O
song	O
titled	O
"	O
Fibonacci	B-Algorithm
Sequence	I-Algorithm
"	O
.	O
</s>
<s>
Voiceover	O
and	O
recording	O
artist	O
Ken	O
Nordine	O
described	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
in	O
a	O
word	O
jazz	O
piece	O
called	O
"	O
Fibonacci	B-Algorithm
Numbers	I-Algorithm
"	O
on	O
his	O
album	O
A	O
Transparent	O
Mask	O
.	O
</s>
<s>
Avant	O
garde	O
composer	O
Elliott	O
Sharp	O
used	O
fibonacci	B-Algorithm
numbers	I-Algorithm
in	O
his	O
compositions	O
.	O
</s>
<s>
Fred	O
Frith	O
composed	O
an	O
instrumental	O
"	O
Ruins	O
"	O
for	O
the	O
avant-rock	O
group	O
Henry	O
Cow	O
using	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
to	O
establish	O
beat	O
and	O
harmony	O
.	O
</s>
<s>
Composer	O
Dave	O
Soldier	O
's	O
opera	O
with	O
Komar	O
and	O
Melamid	O
,	O
Naked	O
Revolution	O
,	O
contains	O
a	O
soprano	O
aria	O
titled	O
"	O
Sing	O
of	O
Nature	O
,	O
Sing	O
of	O
Numbers	O
"	O
with	O
lyrics	O
and	O
music	O
based	O
on	O
the	O
Fibonacci	B-Algorithm
series	I-Algorithm
,	O
sung	O
in	O
character	O
by	O
Isadora	O
Duncan	O
.	O
</s>
<s>
Artist	O
Mario	O
Merz	O
made	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
a	O
recurring	O
theme	O
in	O
his	O
work	O
.	O
</s>
<s>
Examples	O
are	O
the	O
Chimney	O
of	O
Turku	O
Energia	O
,	O
in	O
Turku	O
,	O
Finland	O
,	O
featuring	O
the	O
start	O
of	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
in	O
2m	O
high	O
neon	O
lights	O
,	O
and	O
the	O
representation	O
of	O
the	O
first	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
with	O
red	O
neon	O
lights	O
on	O
one	O
of	O
the	O
four-faced	O
dome	O
of	O
the	O
Mole	O
Antonelliana	O
in	O
Turin	O
,	O
Italy	O
,	O
part	O
of	O
the	O
artistic	O
work	O
Il	O
volo	O
dei	O
Numeri	O
(	O
"	O
Flight	O
of	O
the	O
numbers	O
"	O
)	O
.	O
</s>
<s>
Fibonacci	B-Algorithm
numbers	I-Algorithm
have	O
also	O
been	O
used	O
in	O
knitting	O
to	O
create	O
aesthetically	O
appealing	O
patterns	O
.	O
</s>
<s>
The	O
artist	O
Martina	O
Schettina	O
uses	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
in	O
her	O
paintings	O
.	O
</s>
<s>
Visual	O
artist	O
Marisa	O
Ferreira	O
used	O
the	O
Fibonacci	B-Algorithm
numeral	O
sequence	O
to	O
create	O
the	O
geometric	O
shapes	O
of	O
her	O
piece	O
,	O
installed	O
from	O
February	O
to	O
August	O
2015	O
on	O
the	O
façade	O
of	O
Oslo	O
Central	O
Station	O
,	O
Norway	O
.	O
</s>
<s>
Grace	O
DeGennaro	O
uses	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
to	O
accumulate	O
the	O
intricate	O
patterns	O
of	O
dots	O
in	O
her	O
paintings	O
"	O
to	O
create	O
a	O
visible	O
record	O
of	O
time.	O
"	O
</s>
<s>
German	O
artist	O
and	O
architect	O
Claus	O
Bury	O
used	O
the	O
Fibonacci	B-Algorithm
numeral	O
sequence	O
in	O
his	O
sculptural	O
projects	O
.	O
</s>
<s>
Fibonacci	B-Algorithm
numbers	I-Algorithm
appear	O
in	O
the	O
Good	O
Place	O
series	O
,	O
first	O
in	O
the	O
main	O
character	O
Eleanor	O
's	O
horoscope	O
on	O
the	O
day	O
she	O
dies	O
and	O
as	O
the	O
area	O
code	O
on	O
the	O
afterlife	O
's	O
neighborhood	O
.	O
</s>
<s>
The	O
scientist	O
character	O
Walter	O
Bishop	O
in	O
the	O
television	O
show	O
Fringe	O
recites	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
to	O
fall	O
asleep	O
.	O
</s>
<s>
Square	O
One	O
Televisions	O
Mathnet	O
series	O
had	O
a	O
storyline	O
that	O
featured	O
a	O
parrot	O
belonging	O
to	O
a	O
deceased	O
individual	O
who	O
was	O
fascinated	O
by	O
the	O
Fibonacci	B-Algorithm
numbers	I-Algorithm
.	O
</s>
<s>
This	O
proves	O
to	O
be	O
the	O
key	O
to	O
solving	O
the	O
case	O
:	O
tiles	O
in	O
a	O
garden	O
wall	O
are	O
found	O
to	O
follow	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
,	O
with	O
a	O
secret	O
compartment	O
hidden	O
behind	O
the	O
lone	O
misplaced	O
tile	O
.	O
</s>
<s>
The	O
Criminal	B-Application
Minds	I-Application
episode	O
"	O
Masterpiece	O
"	O
in	O
season	O
4	O
features	O
a	O
serial	O
killer	O
who	O
uses	O
Fibonacci	B-Algorithm
sequences	I-Algorithm
to	O
choose	O
both	O
the	O
number	O
of	O
victims	O
he	O
kills	O
at	O
a	O
given	O
time	O
,	O
as	O
well	O
as	O
the	O
location	O
of	O
their	O
hometowns	O
.	O
</s>
<s>
Aliens	O
use	O
Fibonacci	B-Algorithm
's	O
sequence	O
in	O
the	O
Taken	O
episode	O
"	O
God	O
's	O
Equation	O
"	O
.	O
</s>
<s>
In	O
the	O
Disney	O
Channel	O
TV	O
show	O
So	O
Weird	O
,	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
is	O
used	O
to	O
build	O
a	O
house	O
.	O
</s>
<s>
The	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
is	O
a	O
main	O
plot	O
theme	O
in	O
the	O
2012	O
television	O
show	O
Touch	O
,	O
produced	O
by	O
Fox	O
Network	O
and	O
starring	O
Kiefer	O
Sutherland	O
It	O
revolves	O
around	O
a	O
number	O
sequence	O
318	O
5296	O
3287	O
9.5	O
22	O
975	O
6	O
1188	O
1604	O
55124	O
...	O
and	O
on	O
.	O
</s>
<s>
These	O
numbers	O
are	O
calculated	O
from	O
using	O
the	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
in	O
some	O
way	O
to	O
reveal	O
patterns	O
in	O
both	O
natural	O
and	O
artificial	O
systems	O
,	O
essentially	O
allowing	O
the	O
characters	O
to	O
predict	O
the	O
future	O
.	O
</s>
<s>
In	O
the	O
CBS	O
show	O
Numb3rs	O
episode	O
"	O
Thirteen	O
"	O
,	O
a	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
is	O
embedded	O
in	O
a	O
numeric	O
code	O
left	O
behind	O
by	O
a	O
serial	O
killer	O
.	O
</s>
<s>
On	O
the	O
TV	O
show	O
,	O
Adventure	B-Application
Time	I-Application
,	O
the	O
sequence	O
of	O
8	O
,	O
13	O
,	O
21	O
,	O
is	O
shown	O
on	O
the	O
back	O
of	O
the	O
Enchiridion	O
in	O
certain	O
episodes	O
.	O
</s>
<s>
On	O
the	O
Cartoon	O
Network	O
special	O
The	B-Application
Powerpuff	I-Application
Girls	I-Application
:	O
Dance	O
Pantsed	O
,	O
one	O
of	O
the	O
kidnapping	O
victims	O
is	O
named	O
Fibonacci	B-Algorithm
Sequins	O
(	O
voiced	O
by	O
Ringo	O
Starr	O
)	O
.	O
</s>
<s>
In	O
the	O
Japanese	O
anime	O
Aguu	O
:	O
Tensai	O
Ningyou	O
,	O
a	O
Fibonacci	B-Algorithm
sequence	I-Algorithm
is	O
rapidly	O
fired	O
back-and-forth	O
in	O
a	O
battle	O
of	O
wits	O
between	O
two	O
archenemies	O
(	O
Episode	O
11	O
)	O
.	O
</s>
