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canonical_3.eps
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%!PS-Adobe EPSF-3.0
%%BoundingBox: 0 0 850 850
/angle 1 2 atan def % ~26.5 degrees
/expansion_factor 2 5 sqrt add def
/SQUARE_1 {
4 dict begin
/reflect exch def
/level exch def
/len exch def
/short_len len expansion_factor div def
level 0 gt {
gsave
% Create center square
gsave
90 2 angle mul sub reflect mul neg rotate
short_len reflect mul 0 translate
90 angle sub reflect mul rotate
short_len reflect mul 0 translate
90 reflect mul neg rotate
short_len reflect mul 0 translate
-180 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_1
grestore
4 {
gsave
short_len level 1 sub reflect DART
-90 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
% XXX - this causes problems in SQUARE_2 level 2
%gsave
%-90 angle add reflect mul rotate
%short_len level 1 sub reflect neg DIAMOND_2
%grestore
90 angle sub reflect mul rotate
short_len reflect mul 0 translate
-90 angle sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
angle reflect mul rotate
short_len reflect mul 0 translate
angle neg reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
grestore
angle reflect mul rotate
len reflect mul 0 translate
angle 90 add neg reflect mul rotate
} repeat
grestore
} {
newpath
0 0 moveto
angle reflect mul rotate
len reflect mul 0 rlineto
0 len neg rlineto
len reflect mul neg 0 rlineto
0 len rlineto
angle reflect mul neg rotate
closepath
0 setgray
0.5 setlinewidth
stroke
} ifelse
end
} def
/SQUARE_2 {
3 dict begin
/reflect exch def
/level exch def
/len exch def
/short_len len expansion_factor div def
level 0 gt {
gsave
short_len level 1 sub reflect DART
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
angle reflect mul rotate
short_len level 1 sub -1 reflect mul SQUARE_3
angle 2 mul reflect mul neg rotate
short_len reflect mul 0 translate
-90 angle sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
gsave
180 angle sub reflect mul rotate
short_len reflect mul 0 translate
90 reflect mul rotate
short_len reflect mul 0 translate
angle 90 sub reflect mul rotate
short_len level 1 sub -1 reflect mul SQUARE_2
grestore
90 angle 3 mul sub reflect mul rotate
short_len level 1 sub reflect DART
180 reflect mul rotate
short_len level 1 sub reflect DART
gsave
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
grestore
-90 reflect mul rotate
gsave
angle reflect mul rotate
short_len reflect mul 0 translate
-90 reflect mul rotate
short_len reflect mul 0 translate
-90 angle sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
grestore
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_1
180 3 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
-2 angle mul reflect mul rotate
short_len level 1 sub reflect SQUARE_3
90 reflect mul rotate
short_len level 1 sub reflect DIAMOND_2
gsave
angle 90 sub reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul add reflect mul rotate
gsave
180 angle sub reflect mul rotate
short_len reflect mul 0 translate
90 reflect mul rotate
short_len reflect mul 0 translate
angle 90 sub reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
grestore
angle reflect mul neg rotate
short_len reflect mul 0 translate
angle reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
grestore
90 2 angle mul reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
-90 reflect mul rotate
short_len level 1 sub reflect SQUARE_1
gsave
angle 90 sub reflect mul rotate
short_len reflect mul 0 translate
gsave
angle reflect mul rotate
short_len reflect mul 0 translate
180 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
grestore
90 reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_3
grestore
gsave
angle reflect mul rotate
short_len reflect mul 0 translate
angle reflect mul neg rotate
short_len level 1 sub reflect DIAMOND_1
gsave
90 angle 2 mul add reflect mul rotate
short_len reflect mul 0 translate
angle reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
grestore
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
180 angle sub reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_2
grestore
90 angle 2 mul add reflect mul rotate
short_len reflect mul 0 translate
90 angle 2 mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
angle neg reflect mul rotate
short_len level 1 sub reflect DART
-90 reflect mul rotate
gsave
angle reflect mul rotate
short_len reflect mul 0 translate
-90 reflect mul rotate
short_len reflect mul 0 translate
-90 angle sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
grestore
gsave
180 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
angle reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
grestore
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
90 reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
grestore
} {
gsave
newpath
0 0 moveto
angle reflect mul rotate
0 -1 len mul rlineto
90 reflect mul rotate
0 -1 len mul rlineto
90 reflect mul rotate
0 -1 len mul rlineto
90 reflect mul rotate
0 -1 len mul rlineto
90 reflect mul rotate
closepath
0 setgray
0.5 setlinewidth
stroke
grestore
% Orientation mark for testing
%gsave
%angle reflect mul rotate
%reflect 0.8 mul len mul -0.93 len mul translate
%angle reflect mul rotate
%newpath
%0 0 moveto
%0 0.15 len mul rlineto
%90 rotate
%0 0.15 reflect mul len mul rlineto
%90 rotate
%0 0.15 len mul rlineto
%90 rotate
%0 0.15 reflect mul len mul rlineto
%90 rotate
%closepath
%0 setgray
%fill
%grestore
} ifelse
end
} def
/SQUARE_3 {
3 dict begin
/reflect exch def
/level exch def
/len exch def
/short_len len expansion_factor div def
level 0 gt {
gsave
short_len level 1 sub reflect DART
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
angle reflect mul rotate
short_len level 1 sub reflect neg SQUARE_3
-2 angle mul reflect mul rotate
short_len reflect mul 0 translate
-90 angle sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
gsave
90 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
angle reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
grestore
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
-2 angle mul reflect mul rotate
short_len level 1 sub reflect DART
180 reflect mul rotate
short_len level 1 sub reflect DART
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
180 2 angle mul sub reflect mul rotate
short_len reflect mul 0 translate
-180 angle 2 mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
90 3 angle mul sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
90 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
-90 reflect mul rotate
short_len level 1 sub reflect SQUARE_1
angle reflect mul rotate
short_len reflect mul 0 translate
-180 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_3
-90 reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
180 2 angle mul sub reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
90 reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
180 angle sub reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
-90 angle add reflect mul rotate
gsave
short_len reflect mul 0 translate
-180 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_3
grestore
-90 reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_1
90 3 angle mul sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
-180 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect SQUARE_3
gsave
-180 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
180 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
90 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
180 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
grestore
90 reflect mul rotate
short_len level 1 sub reflect DIAMOND_2
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
180 angle sub reflect mul rotate
short_len level 1 sub reflect DART
-180 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
180 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
gsave
90 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
angle reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
grestore
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
-180 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_3
grestore
} {
gsave
newpath
0 0 moveto
angle reflect mul rotate
0 -1 len mul rlineto
90 reflect mul rotate
0 -1 len mul rlineto
90 reflect mul rotate
0 -1 len mul rlineto
90 reflect mul rotate
0 -1 len mul rlineto
90 reflect mul rotate
closepath
0 setgray
0.5 setlinewidth
stroke
grestore
% Orientation mark for testing
%gsave
%angle reflect mul rotate
%0.65 len mul reflect mul 0.5 len mul neg translate
%newpath
%0 0 moveto
%2 angle mul reflect mul neg rotate
%0.15 len mul reflect mul 0 rlineto
%90 rotate
%0.30 len mul 0 rlineto
%90 rotate
%0.15 len mul reflect mul 0 rlineto
%90 rotate
%0.30 len mul 0 rlineto
%90 rotate
%closepath
%0 setgray
%fill
%grestore
} ifelse
end
} def
/DIAMOND_1 {
4 dict begin
/reflect exch def
/level exch def
/len exch def
/short_len len expansion_factor div def
level 0 gt {
gsave
short_len level 1 sub reflect DART
-90 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
180 2 angle mul sub reflect mul rotate
short_len reflect mul 0 translate
-90 angle sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
-90 3 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
angle reflect mul rotate
90 3 angle mul sub reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
90 reflect mul rotate
short_len level 1 sub reflect neg SQUARE_1
-90 angle sub reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_1
180 3 angle mul sub reflect mul rotate
short_len level 1 sub reflect SQUARE_1
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
2 angle mul reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
90 reflect mul rotate
short_len level 1 sub reflect neg SQUARE_3
-2 angle mul reflect mul rotate
short_len reflect mul 0 translate
2 angle mul reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_1
gsave
-90 angle sub reflect mul rotate
short_len reflect mul 0 translate
-2 angle mul reflect mul rotate
short_len level 1 sub reflect DART
grestore
angle neg reflect mul rotate
short_len reflect mul 0 translate
angle reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
90 3 angle mul sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
-180 3 angle mul add reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
angle neg reflect mul rotate
short_len reflect mul 0 translate
180 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_2
grestore
gsave
90 reflect mul rotate
short_len level 1 sub reflect DART
-90 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
90 angle sub reflect mul rotate
short_len reflect mul 0 translate
-90 angle sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
grestore
gsave
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
180 angle sub reflect mul rotate
short_len reflect mul 0 translate
short_len reflect mul 0 translate
90 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_2
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
90 3 angle mul sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
angle reflect mul rotate
short_len reflect mul 0 translate
angle neg reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
-2 angle mul reflect mul rotate
short_len level 1 sub reflect SQUARE_3
grestore
} {
gsave
newpath
0 0 moveto
angle 2 mul reflect mul rotate
len reflect mul 0 rlineto
90 angle add reflect mul neg rotate
len reflect mul 0 rlineto
angle 90 sub reflect mul rotate
len reflect mul 0 rlineto
90 angle add reflect mul neg rotate
len reflect mul 0 rlineto
closepath
0 setgray
0.5 setlinewidth
stroke
grestore
% Orientation mark for testing
%gsave
%newpath
%0 0 moveto
%angle 2 mul reflect mul rotate
%0.15 len mul reflect mul 0 rlineto
%90 angle add reflect mul neg rotate
%0.15 len mul reflect mul 0 rlineto
%angle 90 sub reflect mul rotate
%0.15 len mul reflect mul 0 rlineto
%90 angle add reflect mul neg rotate
%0.15 len mul 0 rlineto
%closepath
%0 setgray
%fill
%grestore
} ifelse
end
} def
/DIAMOND_2 {
4 dict begin
/reflect exch def
/level exch def
/len exch def
/short_len len expansion_factor div def
level 0 gt {
gsave
90 reflect mul rotate
short_len level 1 sub reflect DART
-180 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
angle reflect mul rotate
short_len level 1 sub reflect neg SQUARE_3
-90 reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
90 2 angle mul sub reflect mul rotate
short_len reflect mul 0 translate
2 angle mul reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_1
angle neg reflect mul rotate
short_len reflect mul 0 translate
angle reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
90 3 angle mul sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
gsave
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
2 angle mul reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
grestore
angle reflect mul rotate
short_len reflect mul 0 translate
angle neg reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
-2 angle mul reflect mul rotate
short_len level 1 sub reflect SQUARE_3
90 reflect mul rotate
short_len level 1 sub reflect DIAMOND_2
gsave
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
180 angle sub reflect mul rotate
short_len level 1 sub reflect DART
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
grestore
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
-2 angle mul reflect mul rotate
short_len level 1 sub reflect SQUARE_2
90 reflect mul rotate
short_len level 1 sub reflect DIAMOND_2
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
-90 reflect mul rotate
short_len level 1 sub reflect SQUARE_1
-90 3 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_1
-2 angle mul reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
180 angle sub reflect mul rotate
short_len reflect mul 0 translate
-180 angle add reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_1
-90 angle sub reflect mul rotate
short_len reflect mul 0 translate
-90 angle sub reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
90 3 angle mul sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
2 angle mul reflect mul rotate
short_len level 1 sub reflect neg DIAMOND_2
90 2 angle mul sub reflect mul rotate
short_len reflect mul 0 translate
short_len reflect mul 0 translate
180 1 angle mul sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
grestore
} {
gsave
newpath
0 0 moveto
angle 2 mul reflect mul rotate
len reflect mul 0 rlineto
90 angle add reflect mul neg rotate
len reflect mul 0 rlineto
angle 90 sub reflect mul rotate
len reflect mul 0 rlineto
90 angle add reflect mul neg rotate
len reflect mul 0 rlineto
closepath
0 setgray
0.5 setlinewidth
stroke
grestore
% Orientation mark for testing
%gsave
%angle 2 mul reflect mul rotate
%0.85 len mul reflect mul 0 translate
%newpath
%0 0 moveto
%0.15 len mul reflect mul 0 rlineto
%90 angle add reflect mul neg rotate
%0.15 len mul reflect mul 0 rlineto
%angle 90 sub reflect mul rotate
%0.15 len mul reflect mul 0 rlineto
%90 angle add reflect mul neg rotate
%0.15 len mul reflect mul 0 rlineto
%closepath
%fill
%grestore
} ifelse
end
} def
/DART {
4 dict begin
/reflect exch def
/level exch def
/len exch def
/short_len len expansion_factor div def
level 0 gt {
gsave
2 {
short_len level 1 sub reflect DART
gsave
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
-90 angle add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_2
180 angle sub reflect mul rotate
short_len reflect mul 0 translate
90 2 angle mul sub reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
-180 2 angle mul add reflect mul rotate
short_len level 1 sub reflect neg SQUARE_3
grestore
gsave
-90 2 angle mul add reflect mul rotate
short_len reflect mul 0 translate
90 angle sub reflect mul rotate
short_len reflect mul 0 translate
-90 angle sub reflect mul rotate
short_len level 1 sub reflect SQUARE_2
angle reflect mul rotate
short_len reflect mul 0 translate
angle neg reflect mul rotate
short_len level 1 sub reflect DIAMOND_1
gsave
-90 angle add reflect mul rotate
short_len reflect mul 0 translate
180 angle sub reflect mul rotate
short_len level 1 sub reflect DART
grestore
2 angle mul reflect mul rotate
short_len reflect mul 0 translate
-2 angle mul reflect mul rotate
short_len level 1 sub reflect SQUARE_3
angle reflect mul rotate
short_len reflect mul 0 translate
angle neg reflect mul rotate
short_len level 1 sub reflect DART
grestore
-90 angle add reflect mul rotate
len reflect mul 0 translate
angle reflect mul rotate
len reflect mul 0 translate
-90 2 angle mul sub reflect mul rotate
} repeat
grestore
} {
gsave
newpath
0 0 moveto
90 2 angle mul sub reflect mul neg rotate
len reflect mul 0 rlineto
angle reflect mul neg rotate
len reflect mul 0 rlineto
angle 180 add reflect mul rotate
len reflect mul 0 rlineto
angle reflect mul neg rotate
len reflect mul 0 rlineto
closepath
0 setgray
0.5 setlinewidth
stroke
grestore
} ifelse
end
} def
1 setlinejoin
50 350 translate
350 2 1 SQUARE_2
%350 1 1 SQUARE_1