<s>
A	O
fractal	B-Algorithm
curve	I-Algorithm
is	O
,	O
loosely	O
,	O
a	O
mathematical	O
curve	O
whose	O
shape	O
retains	O
the	O
same	O
general	O
pattern	O
of	O
irregularity	O
,	O
regardless	O
of	O
how	O
high	O
it	O
is	O
magnified	O
,	O
that	O
is	O
,	O
its	O
graph	O
takes	O
the	O
form	O
of	O
a	O
fractal	B-Application
.	O
</s>
<s>
In	O
general	O
,	O
fractal	B-Algorithm
curves	I-Algorithm
are	O
nowhere	O
rectifiable	O
curves	O
—	O
that	O
is	O
,	O
they	O
do	O
not	O
have	O
finite	O
length	O
—	O
and	O
every	O
subarc	O
longer	O
than	O
a	O
single	O
point	O
has	O
infinite	O
length	O
.	O
</s>
<s>
A	O
famous	O
example	O
is	O
the	O
boundary	O
of	O
the	B-Algorithm
Mandelbrot	I-Algorithm
set	I-Algorithm
.	O
</s>
<s>
Fractal	B-Algorithm
curves	I-Algorithm
and	O
fractal	B-Application
patterns	O
are	O
widespread	O
,	O
in	O
nature	O
,	O
found	O
in	O
such	O
places	O
as	O
broccoli	O
,	O
snowflakes	B-Application
,	O
feet	O
of	O
geckos	B-Operating_System
,	O
frost	O
crystals	O
,	O
and	O
lightning	O
bolts	O
.	O
</s>
<s>
See	O
also	O
Romanesco	O
broccoli	O
,	O
dendrite	O
crystal	O
,	O
trees	O
,	O
fractals	B-Application
,	O
Hofstadter	O
's	O
butterfly	O
,	O
Lichtenberg	O
figure	O
,	O
and	O
self-organized	O
criticality	O
.	O
</s>
<s>
Most	O
of	O
us	O
are	O
used	O
to	O
mathematical	O
curves	O
having	O
dimension	O
one	O
,	O
but	O
as	O
a	O
general	O
rule	O
,	O
fractal	B-Algorithm
curves	I-Algorithm
have	O
different	O
dimensions	O
,	O
also	O
see	O
also	O
fractal	B-Application
dimension	O
and	O
list	B-Library
of	I-Library
fractals	I-Library
by	I-Library
Hausdorff	I-Library
dimension	I-Library
.	O
</s>
<s>
Starting	O
in	O
the	O
1950s	O
Benoit	O
Mandelbrot	O
and	O
others	O
have	O
studied	O
self-similarity	O
of	O
fractal	B-Algorithm
curves	I-Algorithm
,	O
and	O
have	O
applied	O
theory	O
of	O
fractals	B-Application
to	O
modelling	O
natural	O
phenomena	O
.	O
</s>
<s>
As	O
examples	O
,	O
"	O
landscapes	O
"	O
revealed	O
by	O
microscopic	O
views	O
of	O
surfaces	O
in	O
connection	O
with	O
Brownian	O
motion	O
,	O
vascular	O
networks	O
,	O
and	O
shapes	O
of	O
polymer	O
molecules	O
all	O
relate	O
to	O
fractal	B-Algorithm
curves	I-Algorithm
.	O
</s>
