<s>
It	O
was	O
studied	O
in	O
1981	O
by	O
Gérard	O
Rauzy	O
,	O
with	O
the	O
idea	O
of	O
generalizing	O
the	O
dynamic	O
properties	O
of	O
the	O
Fibonacci	B-Algorithm
morphism	I-Algorithm
.	O
</s>
<s>
That	O
fractal	B-Application
set	O
can	O
be	O
generalized	O
to	O
other	O
maps	O
over	O
a	O
3-letter	O
alphabet	O
,	O
generating	O
other	O
fractal	B-Application
sets	O
with	O
interesting	O
properties	O
,	O
such	O
as	O
periodic	O
tiling	O
of	O
the	O
plane	O
and	O
self-similarity	O
in	O
three	O
homothetic	B-Algorithm
parts	O
.	O
</s>
<s>
The	O
Rauzy	B-Algorithm
fractal	I-Algorithm
is	O
constructed	O
this	O
way	O
:	O
</s>
<s>
Can	O
be	O
tiled	B-Algorithm
by	O
three	O
copies	O
of	O
itself	O
,	O
with	O
area	O
reduced	O
by	O
factors	O
,	O
and	O
with	O
solution	O
of	O
:	O
.	O
</s>
<s>
Its	O
boundary	O
is	O
fractal	B-Application
,	O
and	O
the	O
Hausdorff	O
dimension	O
of	O
this	O
boundary	O
equals	O
1.0933	O
,	O
the	O
solution	O
of	O
.	O
</s>
<s>
For	O
any	O
unimodular	O
substitution	O
of	O
Pisot	O
type	O
,	O
which	O
verifies	O
a	O
coincidence	O
condition	O
(	O
apparently	O
always	O
verified	O
)	O
,	O
one	O
can	O
construct	O
a	O
similar	O
set	O
called	O
"	O
Rauzy	B-Algorithm
fractal	I-Algorithm
of	O
the	O
map	O
"	O
.	O
</s>
