<s>
XaoS	B-Algorithm
is	O
an	O
interactive	O
fractal	B-Application
zoomer	B-Algorithm
program	I-Algorithm
.	O
</s>
<s>
It	O
allows	O
the	O
user	O
to	O
continuously	O
zoom	O
in	O
or	O
out	O
of	O
a	O
fractal	B-Application
in	O
real-time	O
.	O
</s>
<s>
XaoS	B-Algorithm
is	O
licensed	O
under	O
GPL	B-License
.	O
</s>
<s>
The	O
program	O
is	O
cross-platform	B-Operating_System
,	O
and	O
is	O
available	O
for	O
a	O
variety	O
of	O
operating	B-General_Concept
systems	I-General_Concept
,	O
including	O
Linux	B-Application
,	O
Windows	B-Application
,	O
Mac	B-Operating_System
OS	I-Operating_System
X	I-Operating_System
,	O
BeOS	B-Application
and	O
others	O
.	O
</s>
<s>
XaoS	B-Algorithm
can	O
show	O
the	B-Algorithm
Mandelbrot	I-Algorithm
set	I-Algorithm
(	O
power	O
2	O
,	O
3	O
,	O
4	O
,	O
5	O
and	O
6	O
)	O
,	O
the	O
Octo	O
fractal	B-Application
,	O
three	O
types	O
of	O
Barnsley	O
's	O
fractals	B-Application
,	O
the	O
Newton	B-Algorithm
fractal	I-Algorithm
(	O
order	O
3	O
and	O
4	O
)	O
,	O
Phoenix	O
fractal	B-Application
and	O
Magnet	O
(	O
1	O
and	O
2	O
)	O
.	O
</s>
<s>
XaoS	B-Algorithm
can	O
display	O
Julia	B-Language
sets	I-Language
from	O
selected	O
fractal	B-Application
parts	O
.	O
</s>
<s>
Xaos	B-Algorithm
also	O
allows	O
users	O
to	O
enter	O
custom	O
formulas	O
.	O
</s>
<s>
XaoS	B-Algorithm
is	O
capable	O
of	O
displaying	O
fractals	B-Application
as	O
ASCII	O
art	O
using	O
AAlib	B-Protocol
,	O
which	O
,	O
in	O
combination	O
with	O
being	O
built	O
on	O
freely	O
available	O
GNU	B-Operating_System
tools	O
,	O
allows	O
it	O
to	O
run	O
almost	O
anywhere	O
.	O
</s>
<s>
An	O
interactive	O
help	O
and	O
an	O
animated	O
introduction	O
to	O
fractals	B-Application
are	O
included	O
.	O
</s>
<s>
XaoS	B-Algorithm
was	O
originally	O
just	O
a	O
"	O
poorly	O
written	O
"	O
Mandelbrot	O
viewer	O
,	O
until	O
Jan	O
Hubička	O
added	O
efficient	O
zooming	O
,	O
using	O
a	O
technique	O
sometimes	O
called	O
the	O
XaoS	B-Algorithm
algorithm	O
or	O
Hubička	O
algorithm	O
.	O
</s>
<s>
At	O
that	O
time	O
,	O
fractal	B-Application
zoom	O
movies	O
were	O
produced	O
by	O
completely	O
recalculating	O
each	O
frame	O
,	O
even	O
though	O
they	O
naturally	O
had	O
much	O
of	O
their	O
area	O
in	O
common	O
with	O
each	O
other	O
.	O
</s>
<s>
Furthermore	O
,	O
unless	O
even	O
more	O
processing	O
is	O
used	O
in	O
order	O
to	O
do	O
antialiasing	B-Algorithm
,	O
recalculating	O
every	O
frame	O
produces	O
a	O
'	O
twinkle	O
 '	O
effect	O
as	O
small	O
bright	O
areas	O
hit	O
and	O
then	O
disappear	O
between	O
pixels	O
.	O
</s>
<s>
Yet	O
allowing	O
the	O
user	O
to	O
zoom	O
,	O
rather	O
than	O
jump	O
as	O
in	O
Fractint	B-Application
,	O
seemed	O
like	O
the	O
most	O
natural	O
way	O
to	O
interact	O
with	O
fractals	B-Application
.	O
</s>
<s>
The	O
most	O
difficult	O
part	O
of	O
the	O
XaoS	B-Algorithm
algorithm	O
was	O
choosing	O
which	O
saved	O
rows	O
and	O
columns	O
to	O
draw	O
where	O
.	O
</s>
<s>
The	O
remaining	O
rows	O
and	O
columns	O
are	O
colored	O
in	O
the	O
same	O
as	O
the	O
closest	O
row/column	O
,	O
and	O
are	O
freshly	O
calculated	O
as	O
the	O
CPU	B-Device
gets	O
time	O
to	O
do	O
so	O
.	O
</s>
<s>
The	O
Hubička	O
algorithm	O
can	O
also	O
be	O
applied	O
to	O
zooming	O
in	O
on	O
other	O
images	O
where	O
the	O
pixels	O
are	O
calculated	O
,	O
and	O
has	O
been	O
used	O
in	O
other	O
software	O
such	O
as	O
the	O
rtzme	O
(	O
"	O
Real-Time	O
Zooming	O
Math	O
Engine	O
"	O
)	O
complex	O
function	O
graphing	O
program	O
,	O
and	O
other	O
fractal	B-Application
zoomers	O
.	O
</s>
