Here are guys from 1956 to have at least 2 triples in a game with no runs scored and no RBI. (Nobody has ever had 3 triples in a game and also 0 R and 0 RBI.)

  Cnt Player            Date          Tm   Opp GmReslt PA AB  R  H 2B 3B HR RBI BB IBB SO HBP SH SF ROE GDP SB CS BOr Positions
+----+-----------------+-------------+---+----+-------+--+--+--+--+--+--+--+---+--+---+--+---+--+--+---+---+--+--+---+---------+
    1 Todd Helton       2007-06-05    COL  HOU L  1-4   4  4  0  2  0  2  0   0  0   0  2   0  0  0   0   0  0  0 4th 1B        

    2 David Ortiz       2004-07-22(1) BOS  BAL L  3-8   4  4  0  3  0  2  0   0  0   0  0   0  0  0   0   0  0  0 3rd DH        

    3 Devon White       1994-07-01    TOR @KCR L  3-4   6  6  0  2  0  2  0   0  0   0  0   0  0  0   0   0  0  0 1st CF        

    4 Tom Brunansky     1993-05-15    MIL  CLE L  5-9   4  4  0  2  0  2  0   0  0   0  0   0  0  0   0   0  0  0 8th RF        

    5 Cecil Espy        1989-10-01    TEX @CAL L  3-4   5  5  0  4  0  2  0   0  0   0  0   0  0  0   0   0  1  1 1st CF        

    6 Mike Pagliarulo   1987-05-20    NYY @OAK L  5-7   4  4  0  2  0  2  0   0  0   0  1   0  0  0   0   0  0  0 7th 3B        

    7 Doug Flynn        1979-06-03    NYM @ATL W  9-4   5  5  0  3  0  2  0   0  0   0  1   0  0  0   0   0  0  0 8th 2B        

    8 Ozzie Smith       1978-05-05    SDP @STL W  2-1   4  4  0  3  0  2  0   0  0   0  0   0  0  0   0   0  1  0 2nd SS        

    9 Mike Schmidt      1977-07-23    PHI @SFG W  6-3   5  2  0  2  0  2  0   0  3   0  0   0  0  0   0   0  1  0 3rd 3B        

   10 Larry Hisle       1974-06-12    MIN  BAL L  3-4   4  3  0  2  0  2  0   0  1   0  1   0  0  0   0   0  0  0 5th CF        

   11 Paul Blair        1971-08-28(2) BAL  MIL L  0-3   4  4  0  2  0  2  0   0  0   0  0   0  0  0   0   0  0  0 2nd CF        

   12 Zoilo Versalles   1963-07-17    MIN  NYY L  0-4   4  4  0  2  0  2  0   0  0   0  0   0  0  0   0   0  0  0 1st SS        

   13 Joe DeMaestri     1957-09-06    KCA @CHW L  3-4   4  4  0  3  0  2  0   0  0   0  0   0  0  0   0   0  0  0 2nd SS        

   14 Harry Chiti       1956-09-19(2) CHC @NYG L  2-3   4  4  0  2  0  2  0   0  0   0  0   0  0  0       0  0  0 8th C        

Perhaps the most amazing thing about this list is the fact that David Ortiz once had two triples in a game. If Edgar Martinez had been on this list, I would have fainted. (Actually, Gar did have a 2-triple game.)

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