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George Duke wrote on Wed, Dec 23, 2009 08:11 PM UTC:
{Mastodon = *Bifurcators including Venator*} > Unicorn Great > Big Board >
Centennial > Eurasian > Wildebeest > Fantasy Grand > Black Ghost >
Eight-Stone > Templar > Modern > Courier de la Dama > Switching > Seirawan.
Venator is one of two dozen bifurcators from DoubleCannon to Thraex, that
begin diagonal then turn 45 degrees to orthogonal, or vice versa. 
http://hem.passagen.se/melki9/bifurcation.htm
The change of direction from first leg to second leg is always by 45
degrees.  Implementations have been on 68-square board of Swedish King Gustav III and 8x10, as the DoubleCannon here:
http://hem.passagen.se/melki9/doublecannonb.htm
Bifurcators require another piece, or the board edge, along their pathway
to validate any move or capture. Differing modalities require jumping the
screen on either the first leg or the second leg, bouncing off a screen 135 degrees behind, or colliding head-on 180 degrees for the necessary
45-degree change of direction to the second leg. For any individual
bifurcation piece-type, the capturing under all the different conditions
above may be by displacement, or by withdrawal, or by version of en
passant. In general, player has to think twofold for any given bifurcator:
how the piece moves and how the piece captures. That is no more complicated than the way you think Pawn moves one way and captures another way. Bifurcators including Venator get the nod here as they fit well on preferred minimalist 80 squares. Also so many bifurcators can be varied to keep audiences ahead of the curve to opening theory. Comments will be scrutinized to help break the ties.