perhaps this suits your needs? 
use Data::Dumper;
my @r = ( 
  [ 5, 3, 5, 5 ],
  [ 1, 1, 2, 1 ],
  [ 2, 1, 2, 3 ],
  [ 5, 5, 1, 5 ],
  [ 1, 5, 1, 1 ],
  [ 2, 3, 5, 3 ]
);
@x =  sort { $a->[2] <=> $b->[0] || $a->[3] <=> $b->[1] || -1 } @r;
print Dumper(\@x);
__OUTPUT__
[ 1, 5, 1, 1 ]
[ 1, 1, 2, 1 ]
[ 2, 1, 2, 3 ]
[ 2, 3, 5, 3 ]
[ 5, 3, 5, 5 ]
[ 5, 5, 1, 5 ]

[download]
Update: As Jaap found out, it did not work always, so here is my next try: 
for my $i (0..$#r) {
  my $p = $i + 1;
  for my $j ($p .. $#r) {
    next unless $r[$i]->[2] == $r[$j]->[0] 
             && $r[$i]->[3] == $r[$j]->[1];
    @r[$p, $j] = @r[$j, $p];
    last;
  }
}

[download]
Boris

In reply to Re: reordering segments to form a polygon by borisz
in thread reordering segments to form a polygon by dada

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