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David Paulowich wrote on Sun, Dec 18, 2005 02:34 PM UTC:
These leapers have some merit in combination with less awkward pieces. 
Ralph Betza's 'Half-Duck' combines (0,3) and (0,2) leapers with a (1,1)
Ferz.  This piece is called the 'Lion' in Greg Strong's Opulent Chess
and a couple of my variants.  Back in the previous century I invented the
'Unicorn', which can [1] move like a Knight or [2] move like a Knight to
an empty square and continue with another Knight leap to a location three
squares away diagonally.  Thus it's move includes a (3,3) leaper WHICH
CAN BE BLOCKED.  Replacing Knights with Unicorns in FIDE chess yields the
following Fool's Mate:  1.Uc3 c5? 2. Ub4 mate! (Black cannot block both
c7 and d6).  Later on I decided to use the name Unicorn for another piece.