<s>
In	O
mathematics	O
,	O
a	O
multiplicative	B-Algorithm
cascade	I-Algorithm
is	O
a	O
fractal/multifractal	O
distribution	O
of	O
points	O
produced	O
via	O
an	O
iterative	O
and	O
multiplicative	O
random	O
process	O
.	O
</s>
<s>
The	O
plots	O
above	O
are	O
examples	O
of	O
multiplicative	B-Algorithm
cascade	I-Algorithm
multifractals	B-Algorithm
.	O
</s>
<s>
A	O
Monte	B-Algorithm
Carlo	I-Algorithm
rejection	I-Algorithm
scheme	I-Algorithm
is	O
used	O
repeatedly	O
until	O
the	O
desired	O
cell	O
population	O
is	O
obtained	O
,	O
as	O
follows	O
:	O
x	O
and	O
y	O
cell	O
coordinates	O
are	O
chosen	O
randomly	O
,	O
and	O
a	O
random	O
number	O
between	O
0	O
and	O
1	O
is	O
assigned	O
;	O
the	O
(	O
x	O
,	O
y	O
)	O
cell	O
is	O
then	O
populated	O
depending	O
on	O
whether	O
the	O
assigned	O
number	O
is	O
lesser	O
than	O
(	O
outcome	O
:	O
not	O
populated	O
)	O
or	O
greater	O
or	O
equal	O
to	O
(	O
outcome	O
:	O
populated	O
)	O
the	O
cell	O
's	O
occupation	O
probability	O
.	O
</s>
<s>
The	O
fractals	B-Application
are	O
generally	O
not	O
scale-invariant	O
and	O
therefore	O
cannot	O
be	O
considered	O
standard	O
fractals	B-Application
.	O
</s>
<s>
They	O
can	O
however	O
be	O
considered	O
multifractals	B-Algorithm
.	O
</s>
