PS
# Sierpinski.m4
gen_init
[
define Sierpinski {
 if $1 > 0.04 then {
   d = $1/2-lh
   shade(1,line from $2+(d/2,d/2*s3+lw*2) right d/2 up d/2*s3 then left d*2 \
       then right d down d*s3 then right d/2 up d/2*s3 )
   Sierpinski($1/2,$2-($1/2,0))
   Sierpinski($1/2,$2+($1/2,0))
   Sierpinski($1/2,$2+(0,$1*s3/2))
   }
 }

 r = 3
 linethick = 0.2
 #linethick = 1/2 /(1pt__)
 lw = linethick pt__ /2
 s3 = sqrt(3)
 lh = lw*s3
 A: 3,3
 d = r/2-lh
 shade(0,line from A+(0,lw) right d then up d*s3 left d then down d*s3 left d\
   then right d )
 ifpstricks(`psset_(linecolor=white)')
 Sierpinski(r/2,A)

 ifpstricks(`psset_(linecolor=black)')
 thicklines_
 ]

# CayleyGraph.m4
[
define CayleyGraph {
 if $3 > 0 then {
   { line to Here+(cosd($2),sind($2))*($1)
     exec sprintf("CayleyGraph(%g,%g,%g);", ($1)/2, $2,    $3-1); }
   { line to Here+(cosd($2+90),sind($2+90))*($1)
     exec sprintf("CayleyGraph(%g,%g,%g);", ($1)/2, $2+90, $3-1); }
   { line to Here+(cosd($2-90),sind($2-90))*($1)
     exec sprintf("CayleyGraph(%g,%g,%g);", ($1)/2, $2-90, $3-1); }
   }
 }

 size = 2
 depth = 6
 for t=0 to 270 by 90 do {
   line from (0,0) to (cosd(t),sind(t))*size/2;
   { exec sprintf("CayleyGraph(%g,%g,%g);",size/4,t,depth); }
   }
 ] scaled 3/4 with .sw at last [].se+(-0.25,0)

PE