Pitching a Perfect (Square) Game

This past Wednesday, the Mets defeated the Tigers by the score of 16-9.  Not only was it a slugfest (part of a stretch which saw the New Yorkers plate 52 runs over four games), the final score included “perfect squares” for both teams.

If its been a while since your last math class, a “square number” or “perfect square” is “an integer that is the square of an integer; in other words, it is the product of some integer with itself.”  16 is four squared and 9 is three squared.

So, how common is that in baseball history?  We’re looking for both teams to score one of the following: 1, 4, 9, 16, 25, 36 or 49 runs (49 being the highest total ever recorded).  Extra specialness will be bestowed if any of these games occur in April or September (the 4th and 9th months).

Through the end of the 2010 season, there have been at least 9,118 instances of a game ending up with “perfect square” scores.  Here is a table breaking out those scores by home/visitor:

VIS 1 4 9 16 TOT
1 167 2576 580 19 3342
4 2932 159 838 56 3985
9 736 862 32 34 1664
16 39 69 15 1 124
25 1 2 0 0 3
TOT 3875 3668 1465 110 9118

So, there have been 34 games in which the home team has won by a 16-9 tally, and the Mets rout Wednesday marks only the 16th time a visiting team has won by that score.

Next up . . . prime numbers final scores!  (Yes, really)

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4 Responses to Pitching a Perfect (Square) Game

  1. I must say, the most impressive thing is that the 49-33 game only took 3:55 to play.

  2. Ember Nickel says:

    Shouldn’t this include zeroes?

    Andy: Hey, it moves faster without pitching changes. ;)

  3. Pingback: New and Improved “Pitching a Perfect (Square) Game” (now with extra squareness!) | Value Over Replacement Grit

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