[chapstick]

Hi a lot of you have probably seen this curious fact regarding the three hands:
{A[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img]}, {7[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/spade.gif[/img]} and {2[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/diamond.gif[/img]}.

In a heads up match:
{A[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img]} is favoured over {7[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/spade.gif[/img]} (57.91% to win)
{7[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/spade.gif[/img]} is favoured over {2[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/diamond.gif[/img]} (52.33% to win)
but
{2[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/diamond.gif[/img]} is favoured over {A[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img]} (52.34% to win)

Does anyone know other interesting cases (not trivially similar to the above) where given three hands A, B, and C. A>B, B>C, but C>A?

Thanks. Just curious.