How about a regex?
#!/usr/bin/perl -l
"AB~ACFI~ADGJ~AE~BCDE~BFHJ~BI~EGHI~EJ~IJ" =~ /([^~])[^~]*([^~]).*~[^~]
+*([^~])[^~]*([^~])(?{local$z=$1 and local$y=$2 and local$x=$1 eq$3?$4
+:$1 eq$4?$3:($z=$2)&&($y=$1)&&$2 eq$3?$4:$2 eq$4?$3:0}).*~[^~]*((??{$
+y})[^~]*(??{$x})|(??{$x})[^~]*(??{$y}))(?{$x{join" - ",sort$x,$y,$z}+
++})(?!)/;
print for sort(keys %x), keys(%x) . " triangles found";
Sure it's overkill but it was fun =P
Only tested on perl 5.8.7 on windows and freebsd.
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