'Drew' a little more inspiration from liverpole's Cyclical japh.

#!/usr/bin/perl 

$_=                                              q#sub'C{25+
20*c  AAAAAAAAAAAAAAAAAAAAAA  TTTTTTTTTTTTTTTTTTT   os(pop()*
2/pop)                                                 }for(0
..1638){$                                                T[$_
 ][C(14,$_)]                                               =$
   T[$_][C(14,$_ CCCCCCCCCCCCC  GGGGGGGGGGGGGGGGGGGGGGG  +21)
      ]="\e[1mo\e[0m                                   "}$C=$
        T=$l=$f=0;sub'g{                             ($d,$s)=
            @_;my$l=(length$s                     )+1;$p='-'x
                (int($d/$l)-1);my$TTTTT  AAAAAAn;for(split/
                    /,$s){$n.=$p.$_}$n.    =$p;$n=~s/-([\
                         w,])-/G$1G/g;$n=$l>$d?substr(
                              $n,int(($l-$d)/2),$d)
                              :$n;while($d>=length$
                          n){($n='-'.$n)..($n=$n.'-')}
                    split//,$n}sub'T{       print"\e[2J\e
                [0;1f\n"}sub'A{$                g=0;@g=();m
            ap{push@g,${g}if                       $_;$g++}@
         {pop@_};($g[1]   AAAAAAAAAAAAA  TTTTTTTTTTTTT-$g[0])
      }T;forG$A(@T                                      ){$c=
   qw(tsuJG-G-G                                           -Gr
 ehtonaG-G-                                                G-
GlrePG-G  CCCCCCCCCCCCCCCCCCCC  GGGGGGGGGGGGGGGGGGGGGGGG -G-G
,rekc                                                   ahG-G
-G-                                                   )[$C%20
];                                                 $T=0;@A=g
(A  TTTTTTTTTTTTTTTTTTTTT  AAAAAAAAAAAAAAAAAAA  ($A),$c);fo
r(@{                                        $A}){print$_?
do{$T=                                   $T&&${l}ne$_?
0:1;$l=$_                           }&&$_:$T?!($C%4
 )?do{$^=pop GGGGGGG  CCCCCCCC @A;'^'eq${^}?'G'
   :$^}||'-':'            G':'G'}print"\n";
      $C++;if(!($C%20)){select$y,$y,$
         y,.08;T}}#,s*[ATCG]{2,}**g
           ,s,\s+,,g,s,G, ,g,
        eval $_ && chargrill #
[download]

There are two ways your eyes can interpret what you're seeing when you run this - it will either appear to be scrolling, or rotating. I've tried to provide enough visual cues to help you see the latter. If, try as you might you're still only able to see it as scrolling, try to just concentrate on the first line.

Windows users might need to (save the code above as "dna.pl" and) use the following invocation:

$ perl -MWin32::Console::ANSI dna.pl
[download]

Update: Hah, I noticed my unintentional pun in the first sentence :-D

s**lil*;  $*=join'',sort split q**;  s;.*;grr; &&s+(.(.)).+$2$1+; $; =
qq-$_-;s,.*,ahc,;$,.=chop for split q,,,reverse;print for($,,$;,$*,$/)
[download]